Question

Find the lower quartile, middle quartile, and upper quartile from the data given below: 14, 10, 12, 9, 17, 5,8, 9, 14, 10, 11.

Answer 1

• Lower quartile: 9

,

• Middle quartile: 10

,

• Upper quartile: 14

Explanation:

Given the set of data:

`14,10,12,9,17,5,8,9,14,10,11`

First, sort the data in ascending order:

`5,8,9,9,10,10,11,12,14,14,17`

Next, separate the data into two halves:

• Lower Half: 5,8,9,9,10

,

• Middle: 10

,

• Upper half: 11,12,14,14,17

Lower Quartile: The lower quartile is the item in the middle of the lower half.

The lower quartile is 9.

Middle Quartile: The middle quartile is the item in the middle of the data.

The middle quartile is 10.

Upper Quartile: The upper quartile is the item in the middle of the upper half.

The upper quartile is 14.