sabirbagwan/Statistics

1import streamlit as st2import numpy as np3import matplotlib.pyplot as plt4import seaborn as sns5import pandas as pd6 7# Set page title and layout8st.set_page_config(page_title='Statistics Basics', layout='wide')9 10# Set up sidebar11st.sidebar.title('Parameters')12mean = st.sidebar.slider('Mean', min_value=-10.0, max_value=10.0, value=0.0, step=0.1)13std_dev = st.sidebar.slider('Standard Deviation', min_value=0.1, max_value=10.0, value=1.0, step=0.1)14variance = std_dev ** 215variance_slider = st.sidebar.slider('Variance', min_value=0.1, max_value=10.0, value=variance, step=0.1)16 17# Generate data18x = np.linspace(-10, 10, 1000)19y = 1 / (np.sqrt(2 * np.pi * variance_slider)) * np.exp(-0.5 * ((x - mean) ** 2) / variance_slider)20 21# Calculate statistics22median = mean23mode = mean24 25# Generate random values within the curve boundaries based on kernel density estimate26num_points = 100027samples = np.random.choice(x, size=num_points, p=y / np.sum(y))28 29# Create DataFrame for plotting30df = pd.DataFrame({'Values': samples})31 32# Set seaborn style33sns.set(style='darkgrid')34 35# Plot the bell curve and histogram of generated values36fig, ax = plt.subplots(figsize=(10, 6))37sns.histplot(df['Values'], kde=True, color='blue', ax=ax)38sns.kdeplot(df['Values'], color='red', ax=ax)39ax.plot(x, y, linewidth=2, color='red')40ax.set_title('Bell Curve with Histogram and KDE')41ax.set_xlabel('X')42ax.set_ylabel('Density')43 44 45# Display statistics46st.header('Statistics Concepts')47col1, col2, col3, col4, col5 = st.columns(5)48col1.subheader('Mean')49col1.markdown(f"<span style='font-size:24px'>{mean}</span>", unsafe_allow_html=True)50col2.subheader('Median')51col2.markdown(f"<span style='font-size:24px'>{median}</span>", unsafe_allow_html=True)52col3.subheader('Mode')53col3.markdown(f"<span style='font-size:24px'>{mode}</span>", unsafe_allow_html=True)54col4.subheader('St.D')55col4.markdown(f"<span style='font-size:24px'>{std_dev}</span>", unsafe_allow_html=True)56col5.subheader('Variance')57col5.markdown(f"<span style='font-size:24px'>{variance_slider}</span>", unsafe_allow_html=True)58 59 60 61# Display the bell curve, histogram, and KDE plot62st.header('Bell Curve with Histogram and KDE')63st.pyplot(fig)64