What is a Mean?
Mean is the average of the given numbers which is calculated by dividing the sum of given numbers by the total count of numbers.
Example:
Find the mean of the given numbers 2, 4, 4, 4, 5, 5, 7, and 9?
Mean of 2, 4, 4, 4, 5, 5, 7, 9
Solution:
- Step1: Take sum of all numbers, 2 + 4 + 4 + 4 + 5 + 5 + 7 + 9 = 40
- Step2: Divided sum by the total count of numbers, 40/ 8 = 5
Properties of Mean:
- The mean (or average) is the most popular and well-known measure of central tendency.
- It can be used with both discrete and continuous data, although its use is most often with continuous data.
- There are other types of means. Geometric mean, Harmonic mean, and Arithmetic mean.
- Mean is the only measure of central tendency where the sum of the deviations of each value from the mean is always zero.
How to find Mean of ungrouped data:
How to find Mean of grouped data:
How to find Mean in an array?
Given the n size array, find its mean.
Examples:
Input : {1, 3, 4, 2, 6, 5, 8, 7}
Output : Mean = 4.5
Explanation: Sum of the elements is 1 + 3 + 4 + 2 + 6 + 5 + 8 + 7 = 36, Mean = 36/8 = 4.5Input : {4, 4, 4, 4, 4}
Output : Mean = 4
Approach:
Formula used:
Mean of an array = (sum of all elements) / (number of elements)
Follow the steps below for implementation:
- Iterate over the array and keep adding elements to a variable sum
- Divide the sum by the size of given array.
Below is the implementation of the above approach
C++
// CPP program to find mean#include <bits/stdc++.h>using namespace std;// Function for calculating meandouble findMean(int a[], int n){ int sum = 0; for (int i = 0; i < n; i++) sum += a[i]; return (double)sum / (double)n;}// Driver programint main(){ int a[] = { 1, 3, 4, 2, 7, 5, 8, 6 }; int n = sizeof(a) / sizeof(a[0]); cout << "Mean = " << findMean(a, n) << endl; return 0;} |
Java
// Java program to find meanimport java.util.*;class GFG { // Function for calculating mean public static double findMean(int a[], int n) { int sum = 0; for (int i = 0; i < n; i++) sum += a[i]; return (double)sum / (double)n; } // Driver program public static void main(String args[]) { int a[] = { 1, 3, 4, 2, 7, 5, 8, 6 }; int n = a.length; System.out.println("Mean = " + findMean(a, n)); }} |
Python3
# Python3 program to find mean# Function for calculating meandef findMean(a, n): sum = 0 for i in range(0, n): sum += a[i] return float(sum / n)# Driver programa = [1, 3, 4, 2, 7, 5, 8, 6]n = len(a)print("Mean =", findMean(a, n)) |
C#
// C# program to find meanusing System;class GFG { // Function for // calculating mean public static double findMean(int[] a, int n) { int sum = 0; for (int i = 0; i < n; i++) sum += a[i]; return (double)sum / (double)n; } // Driver Code public static void Main() { int[] a = { 1, 3, 4, 2, 7, 5, 8, 6 }; int n = a.Length; Console.Write("Mean = " + findMean(a, n) + "\n"); }} |
PHP
<?php // PHP program to find mean // Function for calculating meanfunction findMean(&$a, $n){ $sum = 0; for ($i = 0; $i < $n; $i++) $sum += $a[$i]; return (double)$sum / (double)$n;}// Driver Code$a = array(1, 3, 4, 2, 7, 5, 8, 6);$n = sizeof($a);echo "Mean = " . findMean($a, $n)."\n"; ?> |
Javascript
// JavaScript program to find mean// Function for calculating meanfunction findMean(a, n){ let sum = 0 for (var i = 0; i < n; i++) sum += a[i] return (sum / n)}// Driver programlet a = [1, 3, 4, 2, 7, 5, 8, 6]let n = a.lengthconsole.log("Mean =", findMean(a, n))// This code is contributed by phasing17 |
Output
Mean = 4.5
Time Complexity: O(n), Where n is the size of the given array.
Auxiliary Space: O(1), As no extra space is used.
Basic Program related to Mean
- Find mean of subarray means in a given array
- Mean of array using recursion
- Find the mean vector of a Matrix
- Mean of range in array
- Mean and Median of a matrix
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