problem_id
int64
2
263k
problem
stringlengths
0
3.45k
data_type
stringclasses
2 values
problem_type
stringclasses
5 values
options
listlengths
0
10
solution
stringlengths
18
13.5k
path
stringlengths
16
138
data_source
stringclasses
54 values
46,575
In science class, Greta is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?
image
multiple choice
[ "A. bromine mixture", "B. acetone mixture" ]
<answer>A</answer>
./Chart/TabMWP/images/19204.png
TabMWP
46,576
Subtract 0 red cylinders. How many objects are left?
image
numerical
[]
<answer>7</answer>
./Math/CLEVR-Math/images/CLEVR_train_029354.png
CLEVR-Math
46,577
What day of the week is displayed on the TV screen?
image
OCR
[]
<answer>Tuesday</answer>
./OCR/TextVQA/images/9509f05343ef502c.jpg
TextVQA
46,580
Analyze the video and select the best option for the following multiple choice question. Question: What will happen next? Options:
video
multiple choice
[ "A. The red cube and the cylinder collide", "B. The red cube and the yellow object collide" ]
<answer>B</answer>
./CLEVRER/train_videos/video_04451.mp4
CLEVRER
46,583
Here is a diagram figure extracted from some Grade 1 - 6 science books. Please first describe the content of this figure in detail, including how the knowledge visually displayed in the diagram. Then start with a section title "related knowledge:", briefly and concisely highlight the related domain knowledge and theories that underly this diagram. Note that you do not need to provide much detail. Simply cover the most important concepts.
image
free-form
[]
<answer>This diagram represents the atomic structure of chlorine-35. The nucleus in the center contains 17 protons (p) and 35 neutrons (n), indicated by the numbers and letters inside. Surrounding the nucleus are three electron shells, each containing a certain number of electrons (e-). The innermost shell has two electrons, the second shell has eight electrons, and the outermost shell has seven electrons. The electrons are evenly spaced and positioned on the shells to show their distribution around the nucleus. Related knowledge: - Atomic structure: Atoms consist of a nucleus containing protons and neutrons, surrounded by electrons in different energy levels or shells. - Atomic number and mass number: The atomic number (number of protons) determines the element's identity, and the mass number (sum of protons and neutrons) indicates the isotope. - Electron configuration: Electrons occupy shells or orbitals around the nucleus, with a specific number of electrons allowed in each shell (2, 8, 8, 18, etc.). - Isotopes: Atoms of the same element with different numbers of neutrons are called isotopes. They have the same atomic number but different mass numbers. - Chemical behavior: The electron configuration, particularly the number of electrons in the outermost shell, determines an element's chemical properties and reactivity.</answer>
./Knowledge/AI2D-gpt4v/ai2d_azuregpt_1519.png
ai2d(gpt4v)
46,586
What does the graph in Figure 2(a) represent in terms of physical properties and conditions?
image
free-form
[]
<answer>Figure 2(a) depicts the electronic specific heat divided by temperature (Cel/T) for graphite, as a function of magnetic field around the 1±h Landau level/Fermi energy crossing. The graph shows data at different temperatures (ranging from 0.09 K to 1.5 K), with each dataset vertically offset for clarity. The double-peak structures indicated by symbols in the graph occur as each spin Landau level crosses the Fermi energy, particularly evident at higher temperatures.</answer>
./Chart/VisualWebInstruct/6daeb105-828f-4dac-a877-d92b0f4460a3.png
VisualWebInstruct(filtered)
46,588
For triangle △ABC, the sides opposite to angles A, B, and C are denoted as a, b, and c respectively. If , then b = _____________.
image
numerical
[]
<answer>3</answer>
./Math/Multimath-300k/503cc86abc22149be7ac5576914046fa.png
Multimath-300k
46,589
(2003·Chongqing) During the nationwide effort to combat SARS, the changing epidemic situation has drawn the attention of people across the country. Please answer the following questions based on the epidemic statistics chart below: (1) The chart above shows the daily new cases from May 11 to May 29 across the country: ① The number of days when the sum of new confirmed cases and new suspected cases exceeds 100 is ______ days. ② The median number of new confirmed cases is ______. ③ In the statistics of new confirmed cases, the sample is ______, and the sample size is ______. (2) The table below shows the frequency statistics of daily new confirmed cases and the number of days nationwide over a certain period (grouped by number of cases): \frac{} ① The class interval for the group below 100 people is ______. ② Fill in the blanks in this statistical table. ③ During the period covered by these statistics, the number of days when the daily new confirmed cases are below 80 is ______ days.
image
numerical
[]
<answer>7</answer>
./Math/Multimath-300k/742be90286a0258d90ffceace586fd12.png
Multimath-300k
46,592
How does the lighting change as the camera moves from the street to the house's interior?
video
multiple choice
[ "A. It becomes brighter", "B. It changes color", "C. It becomes darker", "D. It remains the same" ]
<answer>A</answer>
./LLaVA-Video-178K/academic_source/ego4d/7306232f-31cc-46bc-87b4-ec576c3548a3.mp4
LLaVA-Video-178K/2_3_m_academic_v0_1
46,593
What scene is mainly depicted in the picture?
image
free-form
[]
<answer>The image features a storefront with a closed metal shutter. Above the shutter, there is a black rectangular signboard with white Chinese characters which read “上海中石化阀门” (Shanghai Zhongshi Valve). The sign is affixed to the upper part of the façade, indicating the name of the business operating at this location. The storefront appears to be part of a larger building with wooden paneling in a brown shade on the upper section. The storefront is framed by two pillars, each flanking the closed shutter. On the top right corner of the façade, a small blue plaque shows the number "79," likely indicating the street number of the building. There are wires hanging loose on the right side of the facade, indicative of either electrical or telephone installations which are not properly managed. To the right side of the store, a section of an awning is visible, which has green and yellow stripes. This awning is slightly retracted, suggesting it might be extendable to provide shade when needed. The sidewalk in front of the shutter is made of concrete with visible stains and markings, exhibiting signs of regular use. The edges of the store are painted white, contrasting with the otherwise brown and gray tones of the façade. For a Chain of Thought (CoT) reasoning, we can integrate relevant knowledge about the image: 1. **Business Identification**: The signboard explicitly identifies the business as related to valves, likely specializing in the distribution or manufacturing of industrial valves given the mention of “Zhongshi,” which translates to Sinopec, a prominent Chinese state-owned petrochemical company. 2. **Store Status**: The closed shutter suggests that the store is currently not in operation. This could be due to it being after business hours, a weekend, a public holiday, or even a permanent closure. 3. **Location Context**: The presence of electrical wires and awning suggest that the store is in a bustling urban area, possibly on a busy street where shading and practical electrical installations are necessary. 4. **Building Structure**: The structural design, with wood paneling and a specific street number “79,” indicates a typical commercial space in China, which often includes traditional design elements in its architecture. From the above observations, we can deduce that: - The store is related to valve sales or manufacturing, possibly tied to the petrochemical industry. - Its current status is closed as the shutter is pulled down. - The location is urban with infrastructure for commercial activity. - It is part of a larger building, with a specific street number "79". This detailed description captures the fundamental elements of the image, allowing a text-based model to answer most image-related questions accurately.</answer>
./General/ShareGPT4o/sharegpt4o_1188.png
sharegpt4o
46,594
What does the person do after standing and contemplating?
video
free-form
[]
<answer>They start moving around, picking up and handling different items.</answer>
./LLaVA-Video-178K/academic_source/Charades/55MRE.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,595
After running according to the flowchart on the right, the output S should be (__)
image
numerical
[]
<answer>40</answer>
./Math/Multimath-300k/31b0c1bb38b2511c44cb2592765e963a.png
Multimath-300k
46,598
What is the baby wearing while playing in the indoor play area?
video
multiple choice
[ "A. A blue shirt and jeans", "B. A red shirt with black sleeves and dark shorts with white stripes", "C. A white shirt and colorful diaper", "D. A green shirt and black pants" ]
<answer>B</answer>
./LLaVA-Video-178K/academic_source/activitynet/v1-3/train_val/v_xpKAvKrrBDs.mp4
LLaVA-Video-178K/2_3_m_academic_v0_1
46,601
Read the program flowchart, then the output S is equal to ___ .
image
numerical
[]
<answer>50</answer>
./Math/Multimath-300k/73ed59f69bb54a1744f1049031c1dd22.png
Multimath-300k
46,603
(1) The imaginary unit is $$i$$. If the complex number $$z$$ satisfies $$(1+i)z = 2$$, then the real part of $$z$$ is ______. (2) The coefficient of $$x^{2}$$ in the binomial expansion of $$(1+x)^{7}$$ is ______. (3) Let the random variable $$X \sim B(2, p)$$. If $$P(X \geqslant 1) = \frac{3}{4}$$, then $$p =$$ ______. (4) Given that $$x^{8} = a_{0} + a_{1}(x+1) + a_{2}(x+1)^{2} +\ldots+ a_{8}(x+1)^{8}$$, then $$a_{7} =$$ ______. (5) As shown in figure (1), the area relationship is $$\frac{S_{\triangle PA_{1}B_{1}}}{S_{\triangle PAB}} = \frac{PA_{1} \cdot PB_{1}}{PA \cdot PB}$$, then the volume relationship in figure (2) is $$\frac{V_{P-A_{1}B_{1}C_{1}}}{V_{P-ABC}} =$$ ______.
image
numerical
[]
<answer>1</answer>
./Math/Multimath-300k/1eb0db809a1e81f632927ec735460df8.png
Multimath-300k
46,604
In which city is the General Electric Co. branch that sells this alarm clock located?
image
OCR
[]
<answer>Ashland, Mass</answer>
./OCR/TextVQA/images/511fbb06f065b6e1.jpg
TextVQA
46,605
If a diagram shows two triangles, ABC and DEF, where side DF divided by side AB equals side DE divided by side AC, and the angles at vertex A and vertex D are equal, can these triangles be considered similar? If so, what is the method used to determine this?
image
free-form
[]
<answer>Yes, the triangles ABC and DEF can be considered similar if side DF divided by side AB equals side DE divided by side AC, and the angles at vertex A and vertex D are equal. The method used to determine this is the Angle-Side-Angle (ASA) Similarity Criterion, which states that if an angle of one triangle is equal to an angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.</answer>
./Chart/VisualWebInstruct/01f98e3e-8aa3-43a3-a970-78cedcb8531c.png
VisualWebInstruct(filtered)
46,607
Why does the hand stir the batter occasionally?
video
free-form
[]
<answer>The hand stirs the batter occasionally to maintain an even coating for the onion rings.</answer>
./LLaVA-Video-178K/academic_source/youcook2/102/0Mz4NTozNXw/split_4.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,609
Given the set , and that set M contains two elements, the number of sets M that meet the conditions is __ ▲__.
image
numerical
[]
<answer>3</answer>
./Math/Multimath-300k/5f3041d3e7156349036eaf87b0ba5f5c.png
Multimath-300k
46,612
What is the main idea being communicated through this graph?
image
free-form
[]
<answer>The average self-isolation index in Minsk, the capital of Belarus, reached 3.7 points on January 3, 2021, meaning that most people were at home. On May 9, 2020, when the Victory Day parade took place in Belarus, the index reached three points on that day. For further information about the coronavirus (COVID-19) pandemic, please visit our dedicated Facts and Figures page.</answer>
./Chart/Chart2Text/cauldron/chart2text/images/chart2text_00016062.png
chart2text(cauldron)
46,613
What did the person do while they were touching the cup/glass/bottle?
video
multiple choice
[ "A. Took the cup/glass/bottle.", "B. Washed the cup/glass/bottle.", "C. Tidied up the cup/glass/bottle.", "D. Put down the cup/glass/bottle." ]
<answer>A</answer>
./STAR/LRJKT.mp4
STAR
46,615
Write a comprehensive depiction of the entire video clip.
video
free-form
[]
<answer>The video begins with a close-up of a person's hand, adorned with a tattoo on their forearm, carefully placing sliced apple pieces into a stainless steel bowl. In the background, a wooden cutting board is visible, featuring a knife and a lemon. The hashtag #SaladWeek is displayed in the bottom right corner, indicating a themed series or event focused on salad recipes. The person continues to arrange the apple slices in the bowl with precision. The scene then shifts to a wider view of the cutting board, where the person sets the bowl down and picks up the lemon. They roll the lemon on the cutting board, likely to soften it for easier juicing. The scene transitions once more to show the person placing a small glass bowl containing two endive heads onto the cutting board. The person then removes one endive head from the bowl and places it on the cutting board, preparing for the next step in the salad preparation process.</answer>
./LLaVA-Video-178K/academic_source/youcook2/111/oVPr2LAyhRM/split_2.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,616
What is the long vehicle for?
image
multiple choice
[ "A. transporting children", "B. transporting cars", "C. transporting horses", "D. transporting goods" ]
<answer>A</answer>
./General/A-OKVQA/images/151587.jpg
A-OKVQA
46,617
Provide a one-sentence caption for the provided image.
image
OCR
[]
<answer>Three bottles of beer include brands like Hobgoblin and Old Peculier.</answer>
./OCR/TextCaps/010336509eba4001.png
textcaps
46,620
How many countries are represented in the graph?
image
numerical
[]
<answer>3</answer>
./Chart/PlotQA/images/132246.png
PlotQA
46,625
After running the program flowchart shown in the figure, the output value of S is ____.
image
numerical
[]
<answer>31</answer>
./Math/Multimath-300k/eb2b00c9206c0e5aeda4f847dd8df3b6.png
Multimath-300k
46,628
What will the person do next?
video
multiple choice
[ "A. Throw the book.", "B. Wash the window.", "C. Throw the clothes.", "D. Take the book." ]
<answer>C</answer>
./STAR/T832F.mp4
STAR
46,634
(2010 Yancheng Second Mock Test) According to the flowchart shown in the figure, if the input x=8, then the output k=____.
image
numerical
[]
<answer>3</answer>
./Math/Multimath-300k/184145f03d9ce9eef63b1cd09c2bc528.png
Multimath-300k
46,635
As shown in the image, the histogram represents the monthly income of 1,000 employees of a particular company. Based on the histogram, estimate the following: (1) The mode of the monthly income of the company's employees; (2) The number of employees whose monthly income is between 1,000 yuan and 1,500 yuan; (3) The average monthly income of the company's employees; (4) The median monthly income of the company's employees.
image
numerical
[]
<answer>2500</answer>
./Math/Multimath-300k/f45be4ecb98aaa32147b66495fcdb203.png
Multimath-300k
46,637
Where does the video take place?
video
multiple choice
[ "A. In a kitchen", "B. In a bathroom", "C. In a bedroom", "D. In a living room" ]
<answer>B</answer>
./LLaVA-Video-178K/academic_source/activitynet/v_I6VBFfeBqF0.mp4
LLaVA-Video-178K/2_3_m_academic_v0_1
46,641
I'd like to understand the message this graph is trying to highlight.
image
free-form
[]
<answer>In 2018, U.S. in-store merchandise sales, within convenience stores, amounted to about 191.5 billion U.S. dollars. Foodservice sales in U.S. C-stores were 37.9 billion U.S. dollars that year.</answer>
./Chart/Chart2Text/cauldron/chart2text/images/chart2text_00016827.png
chart2text(cauldron)
46,642
If the value of {eq}x{/eq} is determined to be {eq}36^{\circ}{/eq}, what are the measurements of {eq}\angle ADB{/eq} and {eq}\angle DBC{/eq}?
image
free-form
[]
<answer>Substituting {eq}x = 36^{\circ}{/eq} into the expressions for {eq}\angle ADB{/eq} and {eq}\angle DBC{/eq}: - {eq}\angle ADB = 3x = 3 \times 36^{\circ} = 108^{\circ}{/eq} - {eq}\angle DBC = 2x = 2 \times 36^{\circ} = 72^{\circ}{/eq} Therefore, {eq}\angle ADB{/eq} measures {eq}108^{\circ}{/eq} and {eq}\angle DBC{/eq} measures {eq}72^{\circ}{/eq}.</answer>
./Chart/VisualWebInstruct/3f952871-cb15-4418-881d-ec5480f89073.png
VisualWebInstruct(filtered)
46,646
Can you break down the data visualization and explain its message?
image
free-form
[]
<answer>This statistic shows the market shares of olive oil brands in Italy as of 2015, by brand. According to data, private labels ranked first having a market share of 20.8 percent, followed by Monini, a brand covering 10.2 percent of the market.</answer>
./Chart/Chart2Text/cauldron/chart2text/images/chart2text_00018161.png
chart2text(cauldron)
46,650
Extract all text content from the photo.
image
OCR
[]
<answer>Jayawardene made his first-class debut for Panadura Sports Club against Nomads Sports Club in March 1989. He continued playing for his home town club until 1995</answer>
./OCR/Rendered_Text/cauldron/rendered_text/images/rendered_text_00002545.png
rendered_text(cauldron)
46,652
As shown in the figure, lines AB and CD intersect at point O, and ray OE is the bisector of ∠BOD. Given that ∠BOE = 30°, what is the measure of ∠AOE? _________
image
numerical
[]
<answer>150</answer>
./Math/Multimath-300k/00a0bdfcfa6b5412390e12b0184829ae.png
Multimath-300k
46,653
Please write out the expression of the formula in the image using LaTeX format.
image
OCR
[]
<answer>= 5 \times 7</answer>
./OCR/HME100k/identity_73037.png
hme100k
46,654
Shopping. __________ Mr. Li bought 4 fans and 1 bed. How much did he spend in total?
image
numerical
[]
<answer>380</answer>
./Math/Multimath-300k/1d81bde7a2cb6e4a834c3dd4370489a8.png
Multimath-300k
46,655
Clarify your interpretation of the image.
image
free-form
[]
<answer>In the diagram, there is a circle labeled as circle O. On the circumference of the circle, there are three points named A, B, and C. There is an angle AOB.</answer>
./Chart/VisualWebInstruct/241f040c-b293-4538-9e2f-23af58cf8bf7.png
VisualWebInstruct(filtered)
46,656
What happened after the person opened the door?
video
multiple choice
[ "A. Took the clothes.", "B. Put down the broom.", "C. Took the towel.", "D. Lied on the sofa/couch." ]
<answer>C</answer>
./STAR/POLVK.mp4
STAR
46,657
Find out how tall the a stage with a man is. Please measure it in centimeters.
image
regression
[]
<answer>82.07</answer>
./Spatial/OpenSpaces/image_9825.png
OpenSpaces
46,658
In the expansion of , the constant term is ______________.
image
numerical
[]
<answer>15</answer>
./Math/Multimath-300k/c2daa7b14cf899cb83f7567fded501fb.png
Multimath-300k
46,661
Let the function , then the value of f(f(2)) is ______.
image
numerical
[]
<answer>1</answer>
./Math/Multimath-300k/14f2e7f6df764862b16eb7f473fcecc6.png
Multimath-300k
46,666
If the person tried to turn on the lighting device and it was not working, what was the reason for that?
video
multiple choice
[ "A. The device worked when the person tried to turn it on.", "B. The lighting device did not work because the person unplugged the device during the video.", "C. The lighting device did not work most likely because it was already unplugged at the beginning of the video." ]
<answer>A</answer>
./PerceptionTest/video_5569.mp4
PerceptionTest/train
46,669
What message is written in the photograph?
image
OCR
[]
<answer>Very soon Chaplains for the Forces were urgently needed, and I felt clearly that one of us must volunteer.</answer>
./OCR/IAM/cauldron/iam/images/iam_00002509.png
iam(cauldron)
46,670
Illustrate the video's narrative journey, scene by scene, with attention to detail.
video
free-form
[]
<answer>The video features a person wearing a leopard print dress preparing a loaf of bread in a kitchen with wooden cabinets. The person begins by holding the bread vertically on a white plate and slicing it with a knife. Surrounding the plate are various ingredients and utensils: a bottle of dark sauce with a green cap, a plate with slices of cooked meat, a bowl of sauce, a bowl of sliced red chilies, a plate with cucumber slices and cilantro, a bowl of shredded carrots and daikon, a spatula, and a package labeled 'ONE.' The person continues to slice the bread, laying it horizontally on the plate and making further cuts. The scene develops as the person holds the loaf of bread vertically again and makes a cut along its length, creating an opening. The same ingredients and utensils are still present. The person then places the knife down and uses both hands to open the bread, revealing its inside. The video wraps up with the person preparing the bread for further use, set against the backdrop of wooden kitchen cabinets.</answer>
./LLaVA-Video-178K/academic_source/youcook2/413/G5dAW-jtLhg/split_2.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,671
How much does it cost to buy 1 scooter and 1 skateboard?
image
numerical
[]
<answer>424</answer>
./Math/Multimath-300k/4afd3622f0171fdb39e824063fa904a2.png
Multimath-300k
46,672
What is the price of the bottle with the yellow label on the bottom shelf, second from the right?
image
OCR
[]
<answer>$6.99</answer>
./OCR/TextVQA/images/1d46818a0c8a0158.jpg
TextVQA
46,676
Q: Begin with node 0, what is the path in this graph that visits every node exactly once?
image
multiple choice
[ "0->7->8->4->1->2->5->6->3.", "0->6->2->5->1->4->7->8->3.", "0->2->4->1->8->7->5->6->3.", "0->5->4->1->2->6->7->8->3.", "0->7->2->8->1->6->4->5->3.", "0->8->6->5->7->4->1->2->3.", "0->4->1->5->7->2->8->6->3.", "0->8->6->5->4->1->7->2->3.", "0->1->7->6->2->4->8->5->3.", "0->5->8->1->6->2->4->7->3."...
<answer>J</answer>
./Knowledge/GVLQA/data/hamilton/graph_visual/layout/sfdp/easy/graph130.png
46,678
Given the following flowchart, the output number is ______. _
image
numerical
[]
<answer>30</answer>
./Math/Multimath-300k/e1a82866756a1d223ba83b20d203b765.png
Multimath-300k
46,681
Please write out the expression of the formula in the image using LaTeX format.
image
OCR
[]
<answer>( - 5 \frac { 1 } { 2 } ) \times \frac { 4 } { 1 1 } - 8 \div 1 - 2 + 4 1</answer>
./OCR/HME100k/identity_51188.png
hme100k
46,682
What is the main event depicted in the video?
video
multiple choice
[ "A. A parade on the city street", "B. A traffic accident", "C. A building under construction collapsing", "D. A festival celebration" ]
<answer>C</answer>
./LLaVA-Video-178K/liwei_youtube_videos/videos/youtube_video_2024/ytb_C5_UtZWK1aw.mp4
LLaVA-Video-178K/30_60_s_youtube_v0_1
46,683
Narrate the video's unfolding events in a descriptive manner.
video
free-form
[]
<answer>The video features a small black dog with a fluffy coat sitting comfortably on the back of a couch or chair. Positioned near a window with closed blinds, the scene is softly lit, suggesting it is either early morning or late afternoon. The dog appears to be interacting with someone off-camera, as a hand reaches up to pet or hold the dog. The interaction continues with the hand gently holding the calm dog, maintaining a consistent background of the window and blinds throughout the video. The serene atmosphere and gentle interaction highlight a moment of quiet companionship between the dog and the unseen person.</answer>
./LLaVA-Video-178K/academic_source/NextQA/1104/8103895526.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,685
Let \( a \) be a three-digit number where all digits are non-zero and no digits are repeated. Arrange the three digits of \( a \) in ascending order to form a three-digit number denoted as \( I(a) \), and in descending order to form a three-digit number denoted as \( D(a) \) (for example, if \( a = 815 \), then \( I(a) = 158 \) and \( D(a) = 851 \)). Read the program flowchart shown in the figure, run the corresponding program, and for any input \( a \), the output result is \( b = . \)
image
numerical
[]
<answer>495</answer>
./Math/Multimath-300k/885d18d2fbae972c43f0b733c2724813.png
Multimath-300k
46,686
Is the woman standing throughout the video?
video
free-form
[]
<answer>Yes.</answer>
./LLaVA-Video-178K/academic_source/Charades/12XD3.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,688
How tall is the white window with white frame? Please measure it in feet.
image
regression
[]
<answer>16.93</answer>
./Spatial/Spacellava/image_21142.png
Spacellava
46,692
Will it rain soon? Answer the question using a single word or phrase.
image
free-form
[]
<answer>Yes</answer>
./Spatial/Spacellava/image_17567.png
Spacellava
46,695
What celestial feature is visible in the night sky of the image?
image
free-form
[]
<answer>The Milky Way galaxy is visible as a bright, cloudy band of stars stretching across the night sky in the image.</answer>
./Chart/VisualWebInstruct/215eb9ed-e639-46aa-aae7-924f8cf333bc.png
VisualWebInstruct(filtered)
46,696
As shown in the , AD is the altitude of triangle ABC, BE bisects ∠ABC and intersects AD at E. If ∠C = 70° and ∠BED = 64°, find the degree measure of ∠BAC.
image
numerical
[]
<answer>58</answer>
./Math/Multimath-300k/e7d6d95cb4acc4cd6f573f1135ed97c3.png
Multimath-300k
46,697
what color is the sky?
image
multiple choice
[ "A. Gray.", "B. White.", "C. Blue.", "D. Pink." ]
<answer>B</answer>
./General/Visual7W/cauldron/visual7w/images/visual7w_00014035.png
visual7w(cauldron,llava_format)
46,701
Why does the dog run after the item? Options:
video
multiple choice
[ "A. chase the bottle.", "B. trained to run.", "C. man is playing with it.", "D. train dog.", "E. play fetch." ]
<answer>C</answer>
./NeXT-QA/NextQA/NExTVideo/1018/3997525404.mp4
NeXT-QA/30_60_s_nextqa
46,702
What is A in the diagram?
image
multiple choice
[ "A. mitochondrion", "B. cell wall", "C. cell membrane", "D. cytoplasm" ]
<answer>A</answer>
./Knowledge/AI2D/images/3279.png
AI2D
46,704
Characterize each scene of the video using a detailed description.
video
free-form
[]
<answer>The video begins with a close-up of a large metal mixing bowl containing ground meat, finely chopped herbs, and a generous amount of grated cheese. A hand adds minced garlic to the mixture, followed by a substantial amount of finely chopped, sautéed onions. The ingredients are layered on top of each other, creating a colorful and textured combination. The focus is on the process of adding these ingredients, highlighting their textures and colors. The scene transitions to another close-up of a large metal mixing bowl containing a crumbly white mixture, likely cheese or a similar ingredient. Two hands actively mix the contents, breaking up the mixture and ensuring it is evenly distributed. The rustic wooden background adds to the scene's charm. The mixture is well combined and evenly distributed in the bowl. The final scene shows the crumbly white mixture being added to the large metal mixing bowl containing the ground meat, herbs, grated cheese, minced garlic, and sautéed onions. The ingredients are layered on top of each other, creating a vibrant and textured combination. The focus remains on the process of adding the white mixture, highlighting the textures and colors of the various ingredients. The video wraps up with the bowl filled with the layered ingredients, ready to be mixed.</answer>
./LLaVA-Video-178K/academic_source/youcook2/119/5_mNozo4yqM/split_7.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,705
As shown in the diagram, the oblique axonometric projection of the horizontally placed triangle $$\triangle ABC$$ is the triangle $$\triangle A′B′C′$$ in the diagram. Given that $$A′C′=6$$ and $$B′C′=4$$, the actual length of the side $$AB$$ is ________.
image
numerical
[]
<answer>10</answer>
./Math/Multimath-300k/7f8f68c9daf92b8364d1ec0b94453112.png
Multimath-300k
46,707
Please write out the expression of the formula in the image using LaTeX format.
image
OCR
[]
<answer>3 0 \times 2 9 x ^ { 2 8 }</answer>
./OCR/ChromeWriting/identity_8765.png
chrome_writting
46,708
As shown in the figure, in square ABCD, AB = 1, point P is a point on diagonal AC, and squares with diagonals AP and PC are constructed respectively. The sum of the perimeters of the two smaller squares is _________.
image
numerical
[]
<answer>4</answer>
./Math/Multimath-300k/986e7b022337ec0ff53874e2f807ec15.png
Multimath-300k
46,709
A cube-shaped box, as shown in the figure, is wrapped with tape twice. The length of the tape used is 80 centimeters. The edge length of the box is ____ centimeters.
image
numerical
[]
<answer>10</answer>
./Math/Multimath-300k/e9d364ff2dca0032b987b99df7308ae8.png
Multimath-300k
46,714
Will these objects attract or repel each other?
image
multiple choice
[ "A. repel", "B. attract" ]
<answer>A</answer>
./Knowledge/ScienceQA/images/14200.png
ScienceQA
46,715
Who is higher up, the colorful blouse floral pattern glass or the short blonde hair black marker right hand?
image
free-form
[]
<answer>Positioned higher is colorful blouse floral pattern glass.</answer>
./Spatial/OpenSpaces/image_3389.png
OpenSpaces
46,716
What will the person do next with the towel?
video
multiple choice
[ "A. Tidy up.", "B. Take.", "C. Put down.", "D. Throw." ]
<answer>D</answer>
./STAR/Z2MY2.mp4
STAR
46,717
As shown in the figure, in △ABC, BC = 5 cm, BP and CP are the angle bisectors of ∠ABC and ∠ACB respectively, and PD ∥ AB, PE ∥ AC. Then the perimeter of △PDE is ___________ cm. __
image
numerical
[]
<answer>5</answer>
./Math/Multimath-300k/d434527e79b2f03db654822412fb2cfd.png
Multimath-300k
46,718
What did the person do while they were sitting on the floor and touching the dish?
video
multiple choice
[ "A. Put down the food.", "B. Took the sandwich.", "C. Ate the sandwich.", "D. Opened the closet/cabinet." ]
<answer>B</answer>
./STAR/43UGG.mp4
STAR
46,719
Provide a detailed description of the main elements in the image.
image
free-form
[]
<answer>The image depicts a group of teddy bears that are dressed in traditional Korean attire and engaged in various activities. The backdrop behind the teddy bears features a detailed, large-scale illustration that seems to represent a traditional Korean village scene or a cultural festival, with numerous small figures engaged in different activities amidst what appear to be straw-roofed houses and various structures. ### Detailed Description: 1. **Teddy Bears and Their Attire**: - The teddy bears are dressed in colorful, traditional Korean clothing called hanbok. These outfits are characterized by their vibrant colors and elaborate designs. - There seems to be an equal mix of male and female teddy bears. The male teddy bears are wearing traditional hats, jeogori (a type of jacket), and baji (pants). Some are adorned with sashes. - Female teddy bears are dressed in hanboks, which consist of a jeogori (jacket) and a chima (skirt), and some have decorative headbands or flowers in their hair. 2. **Activities and Props**: - The teddy bears are depicted in what looks like a festive or ceremonial setting. Some are playing traditional Korean musical instruments such as the janggu (an hourglass-shaped drum) and jing (a large metal gong). - Other teddy bears seem to be dancing, their poses dynamic as if captured mid-movement. - There is a sense of joy and celebration in the scene, indicated by the teddy bears' raised paws and expressive postures. 3. **Backdrop**: - The backdrop is an elaborate illustration that portrays a bustling village or market scene. The artwork is rich in detail, showing people dressed in traditional Korean clothing, engaged in various activities such as trading, farming, and conversing. - Some architectural elements, like the straw-roofed houses, are reminiscent of traditional Korean hanok architecture. 4. **Foreground**: - The surface where the teddy bears are standing appears to be a sandy or earthy flat ground, possibly meant to mimic an outdoor setting. ### Integrated Analysis: This scene is likely meant to represent a traditional Korean festival or celebration. The presence of musical instruments, dance poses, and vibrant attire suggests a cheerful cultural display. Traditional Korean festivals often feature music, dance, and various forms of entertainment, which the teddy bears are enacting. In this artistic depiction, the contrast between the three-dimensional teddy bears in the foreground and the two-dimensional illustrated backdrop creates a lively and engaging diorama. The detailed illustration in the background adds to the narrative, portraying a larger community engaged in daily or festive activities. Such a set-up might be seen in a museum, cultural exhibition, or educational setting to teach about traditional Korean culture through an engaging medium. Teddy bears, being universally relatable and charming, serve as an inviting way to convey cultural stories and practices to a diverse audience, including children. ### Concluding Thought: To summarize, the image combines three-dimensional teddy bears dressed in traditional Korean attire with a detailed illustrated backdrop, creating an educational and celebrative representation of a traditional Korean village festival. The teddy bears engage in diverse activities, reflecting cultural elements of music, dance, and apparel, set against a vivid depiction of village life.</answer>
./General/ShareGPT4o/sharegpt4o_511.png
sharegpt4o
46,721
What is scribbled in this image?
image
OCR
[]
<answer>Many men with only limited accommodation have to do their woodwork on the kitchen table.</answer>
./OCR/IAM/cauldron/iam/images/iam_00001933.png
iam(cauldron)
46,723
Are there any traffic lights showing the green signal?
image
multiple choice
[ "A. No", "B. Yes" ]
<answer>A</answer>
./General/A-OKVQA/images/334234.jpg
A-OKVQA
46,724
Which label indicates the pelvic fins?
image
multiple choice
[ "A. W", "B. N", "C. P", "D. T" ]
<answer>B</answer>
./Knowledge/TQA/images/abc_question_images/parts_fish_12911.png
TQA
46,725
Here is a diagram figure extracted from some Grade 1 - 6 science books. Please first describe the content of this figure in detail, including how the knowledge visually displayed in the diagram. Then start with a section title "related knowledge:", briefly and concisely highlight the related domain knowledge and theories that underly this diagram. Note that you do not need to provide much detail. Simply cover the most important concepts.
image
free-form
[]
<answer>The figure shows three different types of geological faults, each represented by a 3D diagram. The first diagram depicts a normal fault, where the hanging wall has moved down relative to the footwall. The second diagram shows a reverse fault, where the hanging wall has moved up relative to the footwall. The third diagram illustrates a transverse or strike-slip fault, where the blocks of rock have moved horizontally past each other. Each diagram is labeled with the type of fault it represents, and all three diagrams include a tree on the hanging wall block to help visualize the movement. Related knowledge: - Plate Tectonics: the theory that Earth's outer shell is divided into several plates that glide over the mantle. - Faults: fractures in Earth's crust where blocks of rock have slipped past each other. - Hanging Wall and Footwall: the two sides of a fault plane, with the hanging wall being the block of rock that lies above the fault and the footwall being the block that lies below it. - Normal Faults: occur where two blocks of rock are pulled apart by tensional forces. - Reverse Faults: occur where two blocks of rock are pushed together by compressional forces. - Strike-Slip Faults: occur where two blocks of rock slide past each other horizontally, with little to no vertical movement.</answer>
./Knowledge/AI2D-gpt4v/ai2d_azuregpt_1754.png
ai2d(gpt4v)
46,727
How many days at least will Xiaohua take to finish reading this book?
image
numerical
[]
<answer>31</answer>
./Math/Multimath-300k/4bc84873790de3262812dcd19bbf3dd5.png
Multimath-300k
46,728
Please explain the scene depicted in the picture.
image
free-form
[]
<answer>The image depicts an assortment of models representing various modes of transportation arranged on a plain surface, likely a table or floor. These transportation models are made from shiny materials, with each one characterized by distinct colors and features, aiding their identification. 1. **Motorcycle:** Positioned in the upper left part of the image is a miniature model of a motorcycle. It has a bright yellow-golden hue, appearing metallic and glossy. The motorcycle has a blue saddle (seat) with a small brown section, possibly indicating a rear storage compartment or backrest. It's a two-wheeler with detailed features, such as handles, wheels, and exhaust pipe, making it recognizable as a motorcycle. 2. **Bicycle:** To the right of the motorcycle is a smaller model of a bicycle, displayed in a simplistic manner with a yellow color. The bicycle model includes the essential structure of a regular bicycle: two wheels, handlebars, and the frame where the seat and pedals would be. Its light color sharply contrasts with the background and nearby objects, making it easily distinguishable. 3. **Bus:** On the right side of the image is a rectangular model of a bus. This model is depicted with a light tan or beige body and various highlighted features. The bus has four dark red windows on its sides, indicative of passenger seating areas. It stands on four wheels – two on each side – depicted in a bright green color. The back and front sides of the bus are less detailed, but the body displays a simple yet clear design structure synonymous with buses. 4. **Airplane:** Located towards the bottom left area is a small airplane model. This model is distinguishable by its fuselage (body), wings, and tail wings. The airplane is predominantly red, though parts of it, like the wings and the area near the nose, include shades of gray or metallic silver to enhance its form and contours. This model represents a basic structure of a typical small aircraft. 5. **Car:** Near the bottom center of the image is the model of a car, distinctly designed and colored to attract attention. The car's body is primarily metallic blue with a green roof. The model has a modern, sleek design, possibly indicative of a sedan or sports car. The wheels are highlighted in red, while the windows and other details align with traditional car designs, including a distinct front and rear section. Overall, this image showcases a diverse collection of transportation modes. The bright and varied hues of the models, along with their simplified yet detailed designs, contribute to a vivid representation of common vehicular forms. This arrangement provides a visual aid in understanding different types of vehicles used for transportation across multiple contexts, such as land and air travel.</answer>
./General/ShareGPT4o/sharegpt4o_15961.png
sharegpt4o
46,732
Can you confirm if the sky blue weather sunny is bigger than the a trailer with trees?
image
multiple choice
[ "A. Correct", "B. Incorrect" ]
<answer>B</answer>
./Spatial/OpenSpaces/image_5894.png
OpenSpaces
46,733
Provide a detailed description of the image.
image
free-form
[]
<answer>The image presents a geometric figure, specifically a quadrilateral, divided into distinct triangles. The key elements and components of the image include: 1. **Quadrilateral**: The main shape is a quadrilateral, named ABCD, where: - **Vertices**: The four points are labeled as A, B, C, and D, representing the corners of the quadrilateral. - **Sides**: The sides of the quadrilateral are AB, BC, CD, and DA. 2. **Diagonals**: The quadrilateral has two diagonals, AC and BD, intersecting at a point. - **Intersection Point**: The point where the diagonals intersect is labeled as F. 3. **Triangles**: The diagonals divide the quadrilateral into four smaller triangles. - **Triangles**: These are labeled as: - Triangle AFB - Triangle BFC - Triangle CFD - Triangle DFA 4. **Numbered Sections**: Each of the four triangles is further divided into smaller numbered sections from 1 to 6: - **Triangle AFB**: Contains sections 1 and 3. - **Triangle BFC**: Contains sections 3 and 6. - **Triangle CFD**: Contains sections 4 and 6. - **Triangle DFA**: Contains sections 2, 4, and 5. In understanding this geometric construction, consider the following points about the quadrilateral and its divisions: - **Intersection Properties**: The diagonals of the quadrilateral intersect at F, leading to smaller triangles sharing this common vertex. This point, often designated as the centroid or another significant point depending on the specifics of the quadrilateral. - **Numbering and Symmetry**: The sections within the triangles are numbered in such a way that there is a symmetrical pattern around the center point F. ### Analysis and Integration Given the geometric configuration: - The properties of diagonals, particularly how they divide a shape, are crucial in various mathematical and real-world applications, such as in determining areas and solving complex problems in geometry. - **Area Calculation**: Triangles formed by diagonals divide the geometry into smaller regions, often used to simplify area calculations by breaking them down into less complex shapes. - **Symmetric Properties**: Symmetric division helps in understanding spatial orientation and aids in solving problems related to symmetry and congruence in coordinate geometry and structural designs. ### Example Problem Solution Suppose a question is derived from this image asking for a proof that triangles on either side of a diagonal in quadrilateral ABCD are equal in area: **Proof**: 1. **Understanding Triangle Areas**: The diagonals intersect and divide the quadrilateral into four triangles. 2. **Area Equivalence**: By properties of intersecting diagonals in a convex quadrilateral, triangles AFB and CFD, for instance, will have equal areas if diagonals bisect each other. In conclusion, the geometric figure highlights the significance of intersections and subdivisions in understanding complex geometries. The specific numbering and systematic division enhance the understanding of spatial relationships within the quadrilateral.</answer>
./General/ShareGPT4o/sharegpt4o_21041.png
sharegpt4o
46,736
Describe this image in detail.
image
OCR
[]
<answer>This is a close-up photograph of a book page with text mostly in German; the central focus is on the date "4. April 1984," which is highlighted, while the surrounding text blurs out. Directly beneath the date, the partially legible text begins with "Er lehnte sich zurück. Seine...," with the remainder fading into illegibility as a result of the shallow depth of field.</answer>
./OCR/TextOCR/2147e4bbc5eeb3bd.png
textocr(gpt4v)
46,740
Is the sliced lemon on rim of glass taller than the sliced lemon on white surface?
image
free-form
[]
<answer>Indeed, the sliced lemon on rim of glass has a greater height compared to the sliced lemon on white surface.</answer>
./Spatial/Spacellava/image_18066.png
Spacellava
46,743
Translate this image's handwriting into text.
image
OCR
[]
<answer>Steve got out the car and traversed the same empty streets as he had the night before, to keep an appointment with Heather.</answer>
./OCR/IAM/cauldron/iam/images/iam_00004167.png
iam(cauldron)
46,744
Please write out the expression of the formula in the image using LaTeX format.
image
OCR
[]
<answer>A _ { 2 k } = \frac { 2 R A _ { k } } { 2 R + \sqrt { 4 R ^ { 2 } + A ^ { 2 } _ { k } } }</answer>
./OCR/ChromeWriting/identity_6635.png
chrome_writting
46,750
Execute the program flow chart as shown in the image, the output value of $$S$$ is ______
image
numerical
[]
<answer>4</answer>
./Math/Multimath-300k/4625cf4b2dc98f4cd23d1de2811e3f51.png
Multimath-300k
46,751
What did the person do to the towel before taking the broom?
video
multiple choice
[ "A. Lied on.", "B. Tidied up.", "C. Put down.", "D. Threw." ]
<answer>D</answer>
./STAR/Q81A4.mp4
STAR
46,753
Here is a diagram figure extracted from some Grade 1 - 6 science books. Please first describe the content of this figure in detail, including how the knowledge visually displayed in the diagram. Then start with a section title "related knowledge:", briefly and concisely highlight the related domain knowledge and theories that underly this diagram. Note that you do not need to provide much detail. Simply cover the most important concepts.
image
free-form
[]
<answer>The diagram displays the Earth's position relative to the Sun at four key points during its orbit: the Vernal Equinox, Summer Solstice, Autumnal Equinox, and Winter Solstice. The Earth is shown at different angles, illustrating the tilt of its axis. The arrows indicate the direction of Earth's orbit around the Sun. The diagram visually represents how the tilt of the Earth's axis and its orbit around the Sun result in the changing seasons. Related knowledge: - Earth's orbit: The path Earth takes around the Sun, which is elliptical in shape. - Axis tilt: The Earth's axis is tilted at an angle of approximately 23.5 degrees relative to its orbit. - Equinoxes: Occur when the tilt of the Earth's axis is perpendicular to the Sun, resulting in nearly equal day and night lengths. - Solstices: Occur when the tilt of the Earth's axis is at its maximum angle toward or away from the Sun, resulting in the longest or shortest days of the year. - Seasons: The result of the Earth's tilt and orbit, leading to variations in temperature and daylight hours.</answer>
./Knowledge/AI2D-gpt4v/ai2d_azuregpt_2508.png
ai2d(gpt4v)
46,755
Circle, fill in the blanks. There are (____) pairs of gloves in total.
image
numerical
[]
<answer>6</answer>
./Math/Multimath-300k/470d885ab88ea122b8459c6f80eccedb.png
Multimath-300k
46,757
What items are visible in the background of the kitchen?
video
free-form
[]
<answer>A fruit basket containing bananas and oranges, along with various kitchen utensils, are visible in the background.</answer>
./LLaVA-Video-178K/academic_source/youcook2/203/2OM9fBeBX-I/split_6.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,758
I'd like to understand the message this graph is trying to highlight.
image
free-form
[]
<answer>Public interest in news about the Iraq war has remained steady over the past two months. Last week, 27% of Americans followed news about the war very closely and 10% said it was the story they followed more closely than any other.</answer>
./Chart/Chart2Text/cauldron/chart2text/images/chart2text_00023646.png
chart2text(cauldron)
46,759
Here is a diagram figure extracted from some Grade 1 - 6 science books. Please first describe the content of this figure in detail, including how the knowledge visually displayed in the diagram. Then start with a section title "related knowledge:", briefly and concisely highlight the related domain knowledge and theories that underly this diagram. Note that you do not need to provide much detail. Simply cover the most important concepts.
image
free-form
[]
<answer>The figure is a simplified diagram representing the life cycle of a plant. It shows four distinct stages of a plant's life, starting with a "Young plant," then progressing into an "Adult plant," followed by an "Adult plant with fruit," and finally regressing back to a "Seed" before starting the cycle anew as a "Seedling." The arrows between each stage indicate the direction of progression, with labels A, B, C, and D marking each transition. Related knowledge: This diagram is related to the domain knowledge of plant biology and botany. The most important concepts underlying this diagram include: - The process of plant growth and development - The concept of a life cycle, which includes various stages from germination to reproduction - The role of seeds in plant reproduction - The concept of fruiting as a means of seed dispersal for the continuation of the species</answer>
./Knowledge/AI2D-gpt4v/ai2d_azuregpt_1299.png
ai2d(gpt4v)
46,760
What is the woman in the black blazer holding?
video
multiple choice
[ "A. A round object", "B. A handbag", "C. A book", "D. A microphone" ]
<answer>A</answer>
./LLaVA-Video-178K/liwei_youtube_videos/videos/youtube_video_2024/ytb_cuDRDaYKwxg.mp4
LLaVA-Video-178K/30_60_s_youtube_v0_1
46,761
What is the color of the spatula used by the person in the video?
video
multiple choice
[ "A. Red", "B. Yellow", "C. Green", "D. Blue" ]
<answer>B</answer>
./LLaVA-Video-178K/academic_source/youcook2/108/Aa4rc5Exz24/split_4.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,763
Given the shape of a park as illustrated, there are 4 different types of plants to be planted in the five zones A, B, C, D, and E of this park. It is required that adjacent areas sharing a common boundary must have different plants. There are a total of (___) different ways to plant.
image
numerical
[]
<answer>168</answer>
./Math/Multimath-300k/74198e07c31aefbb31de69abc3a1fb13.png
Multimath-300k
46,764
What kitchen tool is used to stir the mixture in the video?
video
multiple choice
[ "A. Fork", "B. Spatula", "C. Spoon", "D. Whisk" ]
<answer>D</answer>
./LLaVA-Video-178K/academic_source/youcook2/106/UHmKlQ2OkTM/split_6.mp4
LLaVA-Video-178K/0_30_s_academic_v0_1
46,765
Execute the algorithm in the right image. If the input is m = 583 and n = 212, then the output is d = __ ___ ____ .
image
numerical
[]
<answer>53</answer>
./Math/Multimath-300k/b274e2ef3f7969c3c0174b84525826f3.png
Multimath-300k
46,767
What does the graph indicate about the performance of TSSM-XL in the Two Rooms environment compared to other models?
image
free-form
[]
<answer>The graph shows that TSSM-XL outperforms the other models (S4WM and RSSM-TBTT) in the Two Rooms environment, particularly when fewer contexts are provided after teleporting. It demonstrates a higher generation MSE at zero contexts, indicating better recall abilities with minimal additional information.</answer>
./Chart/VisualWebInstruct/b760e997-699d-460c-9120-44f61c1ec1de.png
VisualWebInstruct(filtered)
46,768
What happened after the person sat on the sofa/couch?
video
multiple choice
[ "A. Put down the blanket.", "B. Took the phone/camera.", "C. Took the cup/glass/bottle.", "D. Took the blanket." ]
<answer>A</answer>
./STAR/ICOX1.mp4
STAR
46,771
Between the broken windows with the building and the balcony railing tree left side image, which one has less height?
image
free-form
[]
<answer>broken windows with the building is shorter.</answer>
./Spatial/OpenSpaces/image_6003.png
OpenSpaces
46,774
All first-year students at a certain school participated in a physical education proficiency test. From these, a random sample of 40 students' test scores has been taken and the data is organized into score intervals: [40,50), [50,60), [60,70), [70,80), [80,90), [90,100]. Assuming that each data point within the same group can be represented by the midpoint of the interval, the line chart of the physical education scores is obtained (as shown in the figure): (I) Students who score greater than or equal to 70 points are often referred to as “physically good.” Given that there are 1000 first-year students at the school, estimate the number of students in the first year who are “physically good.” (II) To analyze students' regular physical activity, 2 students are randomly selected from the sample students whose scores are in the intervals [60,70) and [80,90). Find the probability that at least one of the two students selected has a score in the interval [60,70). (III) Assume the physical education scores of three students, A, B, and C, are a, b, and c, respectively, and they are in the intervals [70,80), [80,90), and [90,100], respectively, with a, b, c ∈ N. When the variance \( s^{2} \) of the data \( a, b, c \) is the largest, write down the values of \( a, b, c \). (Conclusion does not require proof) (Note: \( s^{2}= \dfrac {1}{n}[(x_{1}- \overline{x})^{2}+(x_{2}- \overline{x})^{2}+\dots+(x_{n}- \overline{x})^{2}] \), where \( \overline{x} \) is the mean of the data \( x_{1}, x_{2}, \dots, x_{n} \))
image
numerical
[]
<answer>750</answer>
./Math/Multimath-300k/83d61fb0ae6ba21f376e588cdc92c83b.png
Multimath-300k