Ten people reported the number of hours they worked last week. 17, 42, 40, 35, 24, 20, 30, 32, 25, 38 What is the median, lower quartile, upper quartile, and interquartile range of this set of data?

Median = 31

Q1 = 24

Q3 = 38

Interquartile range = 14

Step-by-step explanation:

Let us arrange the data set:

17, 20, 24, 25, 30, 32, 35, 38, 40, 42

There are 10 data points.

The median is the average of the sum of the two middle data:

(30 + 32) / 2 = 62/2 = 31

The lower quartile is given as:

Q1 = (N + 1) * 1/4

Q1 = (10 + 1) * 1/4 = 11 / 4 = 2 3/4

i.e. we have to pick the 3rd data point

Q1 = 24

The upper quartile is given as:

Q3 = (N + 1) * 3/4

Q3 = (10 + 1) * 3/4 = 33/4 = 8 1/4

i.e. we have to pick the 8th data point

Q3 = 38

Interquartile range is given as:

Q3 - Q1 = 38 - 24 = 14

they used 313 gallons of paint