 # 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

Question 9 Mean Median And Mode Of Ungrouped Data Exercise 18C

The numbers 50, 42, 35, (2x + 10), (2x – 8), 12, 11, 8 have been written in a descending order. If their

median is 25, find the value of x.

We know that n = 8 which is even

It is given that median = 25

We can write it as

½ {(n/2)th term + (n/2 + 1)th term} = 25

By substituting the values

½ {(8/2)th term + (8/2 + 1)th term} = 25

So we get

½ {4th value + 5th value} = 25

It can be written as

(2x + 10 + 2x - 8)/2 = 25

On further calculation

4x + 2 = 50

By subtraction

4x = 48

By division

x = 12

Therefore, the value of x is 12.

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