The following observations are arranged in ascending order:

26, 29, 42, 53, x, x + 2, 70, 75, 82, 93.

If the median is 65, find the value of x.

Question

The following observations are arranged in ascending order 26 29 42 53 x x 2 70 75 82 93 If the median is 65 find the value of x

Accepted Answer

We know that n 10 which is even It is given that median 65 We can write it as n2th term n2 1th term 65 By substituting the values 102th term 102 1th term 65 So we get 5th value 6th value 65 It can be written as x x 22 65 On further calculation 2x 2 130 By subtraction 2x 128 By division x 64 Therefore the value of x is 64

RS Aggarwal Solutions Class 9 Mathematics Solutions for Mean Median And Mode Of Ungrouped Data Exercise 18C in Chapter 18 - Mean Median And Mode Of Ungrouped Data