frequencyDistribution

This project computes frequency distributions and related statistics for a given dataset.

Files

Main.hs

This file contains the main executable code.

Functionality

• Input Parsing

  • parseList :: String -> [Integer]: Parses a comma-separated string of numbers into a sorted list of integers.
  • parsetoInt :: String -> Integer: Converts a string into an integer.

• Main Function

  • Executes the main logic of the program:
    • Prompts the user to input a dataset and number of classes.
    • Calculates statistics such as sample size, range, class intervals, frequencies, midpoints, cumulative frequencies, relative frequencies, and class boundaries.
    • Displays all computed statistics.

MyLib.hs

This file contains helper functions used in Main.hs.

Functions

• getCW :: Integer -> Integer -> Integer: Calculates the class width given the range and number of classes.
• getClasses :: Integer -> [Integer] -> [(Integer,Integer)]: Generates class intervals based on the class width and dataset.
• getMids :: [(Integer,Integer)] -> [Float]: Computes midpoints for each class interval.
• getF :: [Integer] -> [(Integer,Integer)] -> [Integer]: Computes frequencies of data points within each class interval.
• getRelativeF :: Int -> [Integer] -> [Float]: Calculates relative frequencies based on total sample size and frequency.
• getClassB :: [(Integer, Integer)] -> [(Double, Double)]: Computes class boundaries for each class interval.

Usage

Running the Program

1. Setup

   • Ensure you have GHC installed.

2. Build

   • Navigate to the project directory and run:

     cabal build

3. Execute

   • After building, run the executable:

     cabal run frequencyDistribution

   • Follow the prompts to input your dataset and number of classes.

Example

Input

Input:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100
5

Output

Sample size:
10
Range:
90
Class intervals:
[(10,19),(20,29),(30,39),(40,49),(50,59)]
Frequency:
[1,1,1,1,1]
Midpoints:
[14.5,24.5,34.5,44.5,54.5]
Cumulative f:
[1,2,3,4,5]
Relative f:
[0.1,0.1,0.1,0.1,0.1]
Class boundaries:
[(9.5,19.5),(19.5,29.5),(29.5,39.5),(39.5,49.5),(49.5,59.5)]