The weights in kg of 8 children are 134 106 127 172 143 15 165 98 Find the median weight...

Question

The weights in kg of 8 children are 134 106 127 172 143 15 165 98 Find the median weight

Accepted Answer

By arranging the numbers in ascending order

We get

9.8, 1.6, 12.7, 13.4, 14.3, 15, 16.5, 17.2

We know that n = 8 which is even

So we get

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

It can be written as

Median = ½ {4th term + 5th term)

By substituting the values

Median = ½ (13.4 + 14.3)

On further calculation

Median = ½ (27.7)

We get

Median = 13.85kg

Therefore, the median weight is 13.85kg.

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