Frequency Distribution Calculator

The Frequency Distribution Calculator allows users to input their dataset parameters to calculate key statistics like number of classes, relative frequency, cumulative frequency, mean, and median class for understanding the distribution of data points.

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How to Use the Frequency Distribution Calculator

This guide will take you through the process of using the Frequency Distribution Calculator, which helps in calculating essential statistics based on the input data you provide. Before getting started, ensure you have the necessary data ready:

Input the Data

  1. Number of Data Points: Enter the total number of data points in your dataset. This field is required and should be a number between 1 and 1000 inclusive.
  2. Minimum Value: Provide the minimum value found within your dataset. This is also a required field.
  3. Maximum Value: Input the maximum value within your dataset. This field must be filled and should be greater than the minimum value entered earlier.
  4. Class Interval: Specify the size of each class interval. The minimum value for this input is 0.1, and it must be filled out to proceed.
  5. Class Frequency: Enter the frequency of each class. It must be at least zero and is a required input.

Calculate the Results

After entering all the required data inputs accurately, the calculator will compute the following statistical results:

  • Number of Classes: This value is calculated by taking the ceiling of the difference between the maximum and minimum values divided by the class interval.
  • Relative Frequency: This percentage value is calculated by dividing the frequency by the total number of data points, displayed to two decimal places.
  • Cumulative Frequency: Displays the total cumulative frequency, which is the sum of all individual class frequencies.
  • Cumulative Relative Frequency: This percentage is obtained by dividing the cumulative frequency by the number of data points, shown to two decimal places.
  • Mean: This provides the average or mean value, calculated by summing the product of frequency and class midpoints, then dividing by the number of data points, with results displayed to two decimal places.
  • Median Class: The median class is determined using the median formula involving the minimum value, class interval, data points, and cumulative frequency. The result is rounded to two decimal places.

By carefully inputting all the necessary data and understanding each output field, you can effectively utilize the Frequency Distribution Calculator for thorough and accurate statistical analysis of your dataset.