Hello Everyone,
Given n size unsorted array, find it’s mean and median.
Mean of an array = (sum of all elements) / (number of elements)
Median of a sorted array of size n is defined as the middle element when n is odd and average of middle two elements when n is even.
Since the array is not sorted here, we sort the array first, then apply above formula.
Examples:
Input : a = {1, 3, 4, 2, 6, 5, 8, 7} Output : Mean = 4.5 Median = 4.5 Sum of the elements is 1 + 3 + 4 + 2 + 6 + 5 + 8 + 7 = 36 Mean = 36/8 = 4.5 Since number of elements are even, median is average of 4th and 5th largest elements. which means (4 + 5)/2 = 4.5 Input : a = {4, 4, 4, 4, 4} Output : Mean = 4 Median = 4
Below is the code implementation:
// CPP program to find mean and median of
// an array
#include <bits/stdc++.h>
using
namespace
std;
// Function for calculating mean
double
findMean(
int
a[],
int
n)
{
int
sum = 0;
for
(
int
i = 0; i < n; i++)
sum += a[i];
return
(
double
)sum / (
double
)n;
}
// Function for calculating median
double
findMedian(
int
a[],
int
n)
{
// First we sort the array
sort(a, a + n);
// check for even case
if
(n % 2 != 0)
return
(
double
)a[n / 2];
return
(
double
)(a[(n - 1) / 2] + a[n / 2]) / 2.0;
}
// Driver code
int
main()
{
int
a[] = { 1, 3, 4, 2, 7, 5, 8, 6 };
int
n =
sizeof
(a) /
sizeof
(a[0]);
// Function call
cout <<
"Mean = "
<< findMean(a, n) << endl;
cout <<
"Median = "
<< findMedian(a, n) << endl;
return
0;
}
Output
Mean = 4.5 Median = 4.5
Time Complexity to find mean = O(n)
Time Complexity to find median = O(n Log n) as we need to sort the array first.