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Write a function called median that returns the median entry in a 1-dimensional

ID: 3575283 • Letter: W

Question

Write a function called median that returns the median entry in a 1-dimensional array of integers. For example, if we have an array a={3,4,5,1,6}; then the median entry of this array a is 4.

If the array size is even, it means that array has even number of elements. For example, a={3,2,4,1}, then first sort it, a becomes {1,2,3,4}, then the median entry will be the average of 2 and 3, which is 2.5.

a. First ouput should have you sort the array a first

b. then second output find the entry in the middle position.

Explanation / Answer

Program:

public class calcMedian {

   public static void main(String[] args) {
       // TODO Auto-generated method stub
       int intArray[]={1,2,5,6,2,23,2};
       int sortedArray[]=sort(intArray);
       System.out.print("Sorted array: ");
       for(int i=0;i<sortedArray.length;i++){
           System.out.print(sortedArray[i] + " ");
       }
       float medianValue=median(sortedArray);
       System.out.println(" Median value is: " + medianValue);
   }
   static float median(int arr[]){

//returns median value
       if(arr.length%2==0){
           return ((float) arr[arr.length/2 -1]+arr[arr.length/2 ])/2 ;
       }
       else{
           return arr[arr.length/2];
       }
   }
  
   static int[] sort(int arr[]){

//returns sorted array
       int temp;
       for(int i=0;i<arr.length;i++){
           for(int j=i+1;j<arr.length;j++){
               if(arr[j]<arr[i]){
                   temp=arr[i];
                   arr[i]=arr[j];
                   arr[j]=temp;
               }
           }
       }
      
       return arr;
   }

}

Sample run:

1) when array is {1,2,5,6,2,23,2} :

Sorted array: 1 2 2 2 5 6 23
Median value is: 2.0

2) when array is {1,2,5,6,2,23}:

Sorted array: 1 2 2 5 6 23
Median value is: 3.5

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