Question

Find the median of the given data : 15,28,72,56,44,32,31,43,and 51 . If 31 is replaced by 46 ,calculate the new median .

Answer 1

the median is 43
if 31 is replaced by 46 then also the median is 43

Answer 2

Given data :- 15, 28, 72, 56, 44, 32, 31, 43, 51

• n = 9 (odd)

• formula to find the median is = (n + 1/2)th term [this formula is used when n is odd)

first of all, we have to arrange the data in ascending or descending order.

• I'm arranging in ascending order..

• = 15, 28, 31, 32, 43, 44, 51, 56, 72

Therefore it's median = (9 + 1/2)th term

• = (10/2)th term

• = 5th term

• = 43

hence, it's median is 43.

• now, if 31 is replaced by 46.

first let's arrange the data again.

• = 15, 28, 32, 43, 44, 46, 51, 56, 72 (removed 31 and replaced by 46)

since n = 9

• The median will be the 5th term once again.

• This time the 5th term is 44.

So, hence the median is 44.