Question

The data shows the number of grams of fat found in 9 different health bars 12, 14, 16, 17.5, 10, 18, 15, 15.5, 19

What is the IQR (interquartile range) for the data?

A: 4.75

B: 9

C: 15.5

D: 17.75

Answer 1

A: 4.75

Explanation:

I just took the k12 test

Answer 2

A: 4.75

EXPLANATION

The given date set is

12, 14, 16, 17.5, 10, 18, 15, 15.5, 19

We arrange the data set in ascending order to get,

{10,12,14,15,15.5,16,17.5,18,19}

The median is,

`15.5`

The first quartile is the median of the lower half of the ascending set.

{10,12,14,15}

`Q_1= (12 + 14)/(2) = 13`

The third quartile is the median of the upper half of the ascending set.

{15.5,17.5,18,19}

`Q_3= (17.5+ 18)/(2) = 17.75`

The inter- quartile range is

`Q_3 - Q_1= 17.75 - 13 = 4.75`