What is median of an array?

What is median of an array?

Basically a median is the value present at the centre of a sorted array list. If the number of elements are even, then the median will the average of two numbers in the middle. But the number is odd then the middle element of the array after sorting will be considered as the median.

Is median sorted?

Median Sort then swaps elements in the left half that are larger than A[mid] with elements in the right half that are smaller or equal to A[mid] (lines 5–8). This subdivides the original array into two distinct subarrays of about half the size that each need to be sorted.

Why do you add 1 when finding the median?

The median is the number that is half way between these two numbers. If there are a lot of items of data, add 1 to the number of items of data and then divide by 2 to find which item of data will be the median. This works when it is an odd number but when it is an even number you will get a decimal answer such as 7.5.

How do you calculate a median?

Median

1. Arrange your numbers in numerical order.
2. Count how many numbers you have.
3. If you have an odd number, divide by 2 and round up to get the position of the median number.
4. If you have an even number, divide by 2.

How to find the median of two arrays?

Algorithm: 1 Given two arrays are sorted. 2 If the value of (m+n) is odd then there is only one median else the median is the average of elements at index (m+n)/2 and ( (m+n)/2 – 1). 3 To merge the both arrays, keep two indices i and j initially assigned to 0.

When to return the median of two elements?

Return the median of two elements. If the size of the larger array is odd. Then after adding the element from 2nd array, it will be even so the median will be an average of two mid elements. So the element from the smaller array will affect the median if and only if it lies between (m/2 – 1)th and (m/2 + 1)th element of the larger array.

How to sort two arrays of the same size?

This method works by taking the union of two arrays without extra space and then sorting them. 1) Take the union of the input arrays ar1 [] and ar2 []. 2) Sort ar1 [] and ar2 [] respectively.

How to merge two arrays of different sizes?

Explanation : The merged array is : ar3 [] = {2, 3, 5, 8, 10, 12, 14, 16, 18, 20} if the number of the elements are even, so there are two middle elements, take the average between the two : (10 + 12) / 2 = 11. Method 1: This method uses a linear and simpler approach.