Question

Find the median of following data X 10 14 17 19 24 35 37 F 7 5 8 12 3 9 4​

Answer 1

`Median = 11`

Step-by-step explanation:

Given

`10\ 14\ 17\ 19\ 24\ 35\ 37\ 7\ 5\ 8\ 12\ 3\ 9\ 4`

Required

The median

First, count the number of observation

`n = 14`

Arrange the data in ascending order:

`Sorted: 3\ 4\ 5\ 7\ 8\ 9\ 10\ 12\ 14\ 17\ 19\ 24\ 35\ 37`

The median position is:

`Median =(n + 1)/(2)th`

`Median =(14 + 1)/(2)th`

`Median =(15)/(2)th`

`Median = 7.5th`

This means that the median is the average of the 7th and 8th item.

`Median = (10 + 12)/2`

`Median = 22/2`

`Median = 11`