Dada una array de tamaño n, encuentre la desviación absoluta media.
Prerrequisito: media, varianza y desviación estándar
Ejemplos:
Input : arr[] = {10, 15, 15, 17, 18, 21}
Output : 2.66667
Input : arr[] = {23.54, 56, 34.56, 67, 45.34,
56.78, 78, 21}
Output : 16.6675
La desviación absoluta media o la desviación absoluta media del conjunto de datos es el promedio de la diferencia absoluta desde la media o el punto central. La desviación absoluta media se puede calcular utilizando el método que se indica a continuación.
Sea arr[n] una array de tamaño n y la tarea es encontrar la desviación media absoluta.
Desviación absoluta media = (abs(arr[0] – media) + abs(arr[1] – media) + . . . + abs(arr[n-1] – media) / n;
donde i = 0, 1, 2, . . . n-1 y “abs” es diferencia absoluta.
mean = (arr[0] + arr[1] + arr[2] + . . . + arr[n-1]) / n;
C++
// C++ Program to find mean absolute
// deviation of given array.
#include <bits/stdc++.h>
using namespace std;
// Function to find mean
// of the array elements.
float Mean(float arr[], int n)
{
// Calculate sum of all elements.
float sum = 0;
for (int i = 0; i < n; i++)
sum = sum + arr[i];
return sum / n;
}
// Function to find mean absolute
// deviation of given elements.
float meanAbsoluteDeviation(float arr[], int n)
{
// Calculate the sum of absolute
// deviation about mean.
float absSum = 0;
for (int i = 0; i < n; i++)
absSum = absSum + abs(arr[i] - Mean(arr, n));
// Return mean absolute deviation about mean.
return absSum / n;
}
// Driver function.
int main()
{
float arr[] = { 10, 15, 15, 17, 18, 21 };
int n = sizeof(arr) / sizeof(arr[0]);
cout << meanAbsoluteDeviation(arr, n);
return 0;
}
Java
// java Program to find mean absolute
// deviation of given array
import java.io.*;
class GFG {
// Function to find mean
// of the array elements.
static float Mean(float arr[], int n)
{
// Calculate sum of all elements.
float sum = 0;
for (int i = 0; i < n; i++)
sum = sum + arr[i];
return sum / n;
}
// Function to find mean absolute
// deviation of given elements.
static float meanAbsDevtion(float arr[],
int n)
{
// Calculate the sum of absolute
// deviation about mean.
float absSum = 0;
for (int i = 0; i < n; i++)
absSum = absSum + Math.abs(arr[i]
- Mean(arr, n));
// Return mean absolute
// deviation about mean.
return absSum / n;
}
// Driver function.
public static void main (String[] args) {
float arr[] = { 10, 15, 15, 17, 18, 21 };
int n = arr.length;
System.out.println(meanAbsDevtion(arr, n));
}
}
// This code is contributed by vt_m
Python3
# Python 3 Program to find # mean absolute deviation # of given array. # Function to find mean # of the array elements. def Mean(arr, n) : # Calculate sum of all # elements. sm = 0 for i in range(0, n) : sm = sm + arr[i] return sm // n # Function to find mean # absolute deviation of # given elements. def meanAbsoluteDeviation(arr, n) : # Calculate the sum of # absolute deviation # about mean. absSum = 0 for i in range(0, n ): absSum = absSum + abs(arr[i] - Mean(arr, n)) # Return mean absolute # deviation about mean. return absSum / n # Driver function. arr = [ 10, 15, 15, 17, 18, 21 ] n = len(arr) print(meanAbsoluteDeviation(arr, n)) # This code is contributed by Nikita Tiwari.
C#
// C# Program to find mean absolute
// deviation of given array
using System;
class GFG {
// Function to find mean
// of the array elements.
static float Mean(float []arr, int n)
{
// Calculate sum of all elements.
float sum = 0;
for (int i = 0; i < n; i++)
sum = sum + arr[i];
return sum / n;
}
// Function to find mean absolute
// deviation of given elements.
static float meanAbsDevtion(float []arr,
int n)
{
// Calculate the sum of absolute
// deviation about mean.
float absSum = 0;
for (int i = 0; i < n; i++)
absSum = absSum + Math.Abs(arr[i]
- Mean(arr, n));
// Return mean absolute
// deviation about mean.
return absSum / n;
}
// Driver function.
public static void Main ()
{
float []arr = { 10, 15, 15, 17, 18, 21 };
int n = arr.Length;
Console.WriteLine(meanAbsDevtion(arr, n));
}
}
// This code is contributed by vt_m
PHP
<?php
// PHP Program to find mean absolute
// deviation of given array.
// Function to find mean
// of the array elements.
function Mean($arr, $n)
{
// Calculate sum of
// all elements.
$sum = 0;
for ($i = 0; $i < $n; $i++)
$sum = $sum + $arr[$i];
return $sum / $n;
}
// Function to find mean absolute
// deviation of given elements.
function meanAbsoluteDeviation($arr, $n)
{
// Calculate the sum of absolute
// deviation about mean.
$absSum = 0;
for ($i = 0; $i < $n; $i++)
$absSum = $absSum + abs($arr[$i] -
Mean($arr, $n));
// Return mean absolute
// deviation about mean.
return $absSum / $n;
}
// Driver Code
$arr = array(10, 15, 15, 17, 18, 21);
$n = sizeof($arr);
echo meanAbsoluteDeviation($arr, $n);
// This code is contributed by nitin mittal.
?>
Javascript
<script>
// JavaScript Program to find mean absolute
// deviation of given array
// Function to find mean
// of the array elements.
function Mean(arr, n)
{
// Calculate sum of all elements.
let sum = 0;
for (let i = 0; i < n; i++)
sum = sum + arr[i];
return sum / n;
}
// Function to find mean absolute
// deviation of given elements.
function meanAbsDevtion(arr, n)
{
// Calculate the sum of absolute
// deviation about mean.
let absSum = 0;
for (let i = 0; i < n; i++)
absSum = absSum + Math.abs(arr[i]
- Mean(arr, n));
// Return mean absolute
// deviation about mean.
return absSum / n;
}
// Driver code
let arr = [ 10, 15, 15, 17, 18, 21];
let n = arr.length;
document.write(meanAbsDevtion(arr, n));
// This code is contributed by sanjoy_62.
</script>
Producción:
2.66667
Publicación traducida automáticamente
Artículo escrito por Dharmendra_Kumar y traducido por Barcelona Geeks. The original can be accessed here. Licence: CCBY-SA