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

Answer 1

ANSWER

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}

$Q_1= \frac{12 + 14}{2} = 13$

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

{15.5,17.5,18,19}

$Q_3= \frac{17.5+ 18}{2} = 17.75$

The inter- quartile range is

$Q_3 - Q_1= 17.75 - 13 = 4.75$