Height Distribution Analysis

This project analyzes the height distribution of two synthetic groups (A and B) based on normal distributions.

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📊 Problem Statement

• Group A: Heights follow a normal distribution with a mean of 175 cm and a standard deviation of 5 cm.
• Group B: Heights follow a normal distribution with a mean of 170 cm and a standard deviation of 15 cm.

We randomly generate 100 height values for each group and analyze:

• Mean and standard deviation
• Boxplots to visualize spread and outliers
• Which group has greater variability?

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📎 Objectives

• Generate height data for each group
• Calculate:
  • Mean
  • Standard Deviation
  • variance
  • Range
  • Interquartile Range
  • Coefficient of Variation
• Plot boxplots
• Interpret the results

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Group_A:

•   Mean: 174.48
  

•   Standard Deviation: 4.52 
  

•   variance: 20.413054867346467 
  

•   Range: 43.042959152030306 
  

•   Interquartile Range: 
    5.034288612542554 
  

•   Coefficient of Variation: 
    0.00025894434958140586
  

Group_B:

•   Mean: 170.33 
  

•   Standard Deviation: 14.23 
  

•   variance: 202.58767172028197 
  

•   Range: 69.58410572832992 
  

•   Interquartile Range: 
    20.15746456230474 
  

•   Coefficient of Variation:
    0.0008356101587277632
  

🧰 Requirements

• Python 3.x

• NumPy

• Matplotlib

• scipy Install required libraries:

pip install numpy matplotlib scipy

🧑‍💻 Author Made with ❤️ by FarhadGhaherdoost