If 10 13 15 18 x 1 x 3 30 32 35 41 are ten observations in an ascending order with median 24 find th...

Question

If 10 13 15 18 x 1 x 3 30 32 35 41 are ten observations in an ascending order with median 24 find the value of x

Accepted Answer

By arranging the numbers in ascending order

We get

10, 13, 15, 18, x + 1, x + 3, 30, 32, 35, 41

We know that n = 10 which is even

So we get

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

It can be written as

Median = ½ {5th term + 6th term)

By substituting the values

Median = ½ (x + 1 + x + 3)

On further calculation

Median = ½ (2x + 4)

We get

Median = x + 2

It is given that median = 24

So we get

x + 2 = 24

On further calculation

x = 24 – 2 = 22

Therefore, the value of x is 22.

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