 # 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 6 Mean Median And Mode Of Ungrouped Data Exercise 18C

The ages (in years) of 10 teachers in a school are

32, 44, 53, 47, 37, 54, 34, 36, 40, 50.

Find the median age.

By arranging the numbers in ascending order

We get

32, 34, 36, 37, 4, 44, 47, 50, 53, 54

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 (40 + 44)

On further calculation

Median = ½ (84)

We get

Median = 42

Therefore, the median age is 42 years.

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