added median based statistics into accoridan

app.py

@@ -4,6 +4,7 @@ import threading
 import gradio as gr
 import statistics
 from scipy import stats
+import numpy as np  # Added import for numpy to compute percentiles
 
 DATA_DIR = './storage'
 DATA_FILE = os.path.join(DATA_DIR, 'guesses.json')
@@ -29,19 +30,33 @@ def add_guess(guess):
         guesses = load_guesses()
         guesses.append(guess)
         save_guesses(guesses)
-        return compute_statistics(guesses, include_message=True)
+    return compute_statistics(guesses, include_message=True)
 
 def get_current_results():
     with lock:
         guesses = load_guesses()
-        return compute_statistics(guesses, include_message=False)
+    return compute_statistics(guesses, include_message=False)
 
 def compute_statistics(guesses, include_message):
     n = len(guesses)
     if n == 0:
         return "No guesses have been made yet."
-
+    
     average = sum(guesses) / n
+    median = statistics.median(guesses)
+    # Calculate IQR
+    Q1 = np.percentile(guesses, 25)
+    Q3 = np.percentile(guesses, 75)
+    IQR = Q3 - Q1
+
+    # Initialize the message
+    message = (
+        (f"Your guess has been recorded.\n" if include_message else "") +
+        f"Current average of all {n} guesses: {average:.2f}\n" +
+        f"Median of all guesses: {median:.2f}\n" +
+        f"Interquartile Range (IQR): {IQR:.2f}\n" +
+        "(The IQR is the range between the 25th percentile and 75th percentile of the data.)\n"
+    )
 
     if n >= 2:
         # Calculate sample standard deviation
@@ -60,35 +75,24 @@ def compute_statistics(guesses, include_message):
         # Calculate confidence interval
         ci_lower = average - ME
         ci_upper = average + ME
-        # Prepare output message
-        message = (
-            (f"Your guess has been recorded.\n" if include_message else "") +
-            f"Current average of all {n} guesses: {average:.2f}\n"
-            f"95% confidence interval: ({ci_lower:.2f}, {ci_upper:.2f})"
-        )
-        return message
+        # Append confidence interval to the message
+        message += f"95% confidence interval for the average: ({ci_lower:.2f}, {ci_upper:.2f})"
     else:
         # Not enough data to compute confidence interval
-        message = (
-            (f"Your guess has been recorded.\n" if include_message else "") +
-            f"Current average of all {n} guesses: {average:.2f}\n"
-            f"Not enough data to compute confidence interval."
-        )
-        return message
+        message += "Not enough data to compute confidence interval for the average."
+    
+    return message
 
 with gr.Blocks() as demo:
     gr.Markdown("# Collective Guessing Game")
-    gr.Markdown("Submit your guess and contribute to the global average!")
-
+    gr.Markdown("Submit your guess and contribute to the global statistics!")
     guess_input = gr.Number(label="Enter your guess")
     submit_button = gr.Button("Submit Guess")
-
     with gr.Accordion("View Current Results!", open=False):
         output_text = gr.Textbox(label="Results", lines=10)
         refresh_button = gr.Button("Refresh Results")
-
     submit_button.click(fn=add_guess, inputs=guess_input, outputs=output_text)
     refresh_button.click(fn=get_current_results, outputs=output_text)
     demo.load(fn=get_current_results, outputs=output_text)
-
-demo.launch()
+    
+demo.launch()