This C program calculates the mean, variance, and standard deviation of a set of numbers. These statistical measures are commonly used in data analysis and statistics to describe the central tendency, spread, and dispersion of a dataset.

## Problem statement

Write a C program that takes a set of numbers as input and calculates the mean, variance, and standard deviation of the given set.

## C Program to Find Mean, Variance and Standard Deviation

#include <stdio.h> #include <math.h> int main() { int n, i; float sum = 0.0, mean, variance = 0.0, stdDeviation; printf("Enter the number of elements: "); scanf("%d", &n); float numbers[n]; printf("Enter %d elements:\n", n); for (i = 0; i < n; i++) { scanf("%f", &numbers[i]); sum += numbers[i]; } mean = sum / n; for (i = 0; i < n; i++) { variance += pow(numbers[i] - mean, 2); } variance /= n; stdDeviation = sqrt(variance); printf("Mean: %.2f\n", mean); printf("Variance: %.2f\n", variance); printf("Standard Deviation: %.2f\n", stdDeviation); return 0; }

## How It Works

- The user is prompted to enter the number of elements, in this case, 5.
- The program then asks the user to input each element of the dataset.
- The sum of all the elements is calculated to find the mean.
- The variance is calculated by subtracting the mean from each element, squaring the result, and summing up the squares.
- The variance is divided by the number of elements to get the average variance.
- The standard deviation is calculated as the square root of the variance.
- The program finally displays the calculated mean, variance, and standard deviation.