Update pages/5_Descriptive Statistics.py

pages/5_Descriptive Statistics.py

@@ -93,4 +93,29 @@ st.markdown('''Relation between above 3 types of mean is :
 st.latex(r"\text{Harmonic Mean} \leq \text{Geometric Mean} \leq \text{Arithmetic Mean}")
 st.markdown('''If the every observation of collected data is same then mean is :
     ''')
-st.latex(r"\text{Harmonic Mean} \eq \text{Geometric Mean} \eq \text{Arithmetic Mean}")
+st.latex(r"\text{Harmonic Mean} = \text{Geometric Mean} = \text{Arithmetic Mean}")
+multi = '''Collected data has 2 types of mean :
+
+    population mean(**parameter**)
+    
+    sample mean(**statistics**)
+    '''
+st.markdown(multi)
+st.latex(r"\text{Population Arithmetic Mean} (\mu) = \frac{1}{N} \sum_{i=1}^{N} x_i")
+
+st.latex(r"\text{Sample Arithmetic Mean} (\bar{x}) = \frac{1}{n} \sum_{i=1}^{n} x_i")
+
+st.latex(r"\text{Population Geometric Mean} = \left( \prod_{i=1}^{N} x_i \right)^{\frac{1}{N}}")
+
+st.latex(r"\text{Sample Geometric Mean} = \left( \prod_{i=1}^{n} x_i \right)^{\frac{1}{n}}")
+
+st.latex(r"\text{Population Harmonic Mean} = \frac{N}{\sum_{i=1}^{N} \frac{1}{x_i}}")
+
+st.latex(r"\text{Sample Harmonic Mean} = \frac{n}{\sum_{i=1}^{n} \frac{1}{x_i}}")
+
+multi = '''N represents the total number of observations in the population - size of population data
+
+n represents the total number of observations in the sample - subset of population data
+
+xi represents each individual observation.'''
+st.markdown(multi)