Arithmetic Mean (original) (raw)

Last Updated : 11 Jul, 2025

Arithmetic mean, also called the average or average value, is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables. The arithmetic mean is important in statistics.
For example, Let's say there are only two quantities involved, the arithmetic mean is obtained simply by adding the quantities and dividing by 2.

**Some interesting fact about Arithmetic Mean :

1. The mean of _n numbers x1, x2, . . ., xn is _x. If each observation is increased by _p, the mean of the new observations is ****(x + p)**.
2. The mean of _n numbers x1, x2, . . ., xn is _x. If each observation is decreased by _p, the mean of the new observations is ****(x - p)**.
3. The mean of _n numbers x1, x2, . . ., xn is _x. If each observation is multiplied by a nonzero number _p, the mean of the new observations is **px.
4. The mean of _n numbers x1, x2, . . ., xn is x. If each observation is divided by a nonzero number _p, the mean of the new observations is ****(x/p)**.

**Formula of Arithmetic Mean:

**How to find Arithmetic Mean ?
Given three integers A, B and N the task is to find N Arithmetic means between A and B. We basically need to insert N terms in an Arithmetic progression. where A and B are first and last terms.

**Examples:

**Input : A = 20 B = 32 N = 5
**Output : 22 24 26 28 30
The Arithmetic progression series is
20 **22 24 26 28 30 32

**Input : A = 5 B = 35 N = 5
**Output : 10 15 20 25 30

**Approach :
Let A1, A2, A3, A4......An be N Arithmetic Means between two given numbers A and B . Then A, A1, A2 ..... An, B will be in Arithmetic Progression. Now B = (N+2)th term of the Arithmetic progression. So :

Finding the (N+2)th term of the Arithmetic progression Series, where d is the Common Difference

B = A + (N + 2 - 1)d
B - A = (N + 1)d

So the Common Difference d is given by.

**d = (B - A) / (N + 1)

We have the value of A and the value of the common difference(**d), now we can find all the _N Arithmetic Means between A and B.

C++ `

// C++ program to find n arithmetic // means between A and B #include <bits/stdc++.h> using namespace std;

// Prints N arithmetic means between // A and B. void printAMeans(int A, int B, int N) { // calculate common difference(d) float d = (float)(B - A) / (N + 1);

// for finding N the arithmetic
// mean between A and B
for (int i = 1; i <= N; i++)
    cout << (A + i * d) << " ";

}

// Driver code to test above int main() { int A = 20, B = 32, N = 5; printAMeans(A, B, N); return 0; }

Java

// java program to illustrate // n arithmetic mean between // A and B import java.io.; import java.lang.; import java.util.*;

public class GFG {

// insert function for calculating the means
static void printAMeans(int A, int B, int N)
{
    // Finding the value of d Common difference
    float d = (float)(B - A) / (N + 1);

    // for finding N the Arithmetic
    // mean between A and B
    for (int i = 1; i <= N; i++)
        System.out.print((A + i * d) + " ");
}

// Driver code
public static void main(String args[])
{
    int A = 20, B = 32, N = 5;
    printAMeans(A, B, N);
}

}

Python3

Python3 program to find n arithmetic

means between A and B

Prints N arithmetic means

between A and B.

def printAMeans(A, B, N):

# Calculate common difference(d)
d = (B - A) / (N + 1)

# For finding N the arithmetic 
# mean between A and B
for i in range(1, N + 1): 
    print(int(A + i * d), end = " ") 

Driver code

A = 20; B = 32; N = 5 printAMeans(A, B, N)

This code is contributed by Smitha Dinesh Semwal

C#

// C# program to illustrate // n arithmetic mean between // A and B using System;

public class GFG {

// insert function for calculating the means
static void printAMeans(int A, int B, int N)
{
    // Finding the value of d Common difference
    float d = (float)(B - A) / (N + 1);

    // for finding N the Arithmetic
    // mean between A and B
    for (int i = 1; i <= N; i++)
        Console.Write((A + i * d) + " ");
}

// Driver code
public static void Main()
{
    int A = 20, B = 32, N = 5;
    printAMeans(A, B, N);
}

} // Contributed by vt_m

JavaScript

PHP

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**Time Complexity: O(N)

**Auxiliary Space: O(1)

**Basic Program related to Arithmetic Mean

• Find Harmonic mean using Arithmetic mean and Geometric mean
• Program for class interval arithmetic mean