Question

The table below shows the number of hours some business people in two states spend in meetings each week:

State A
21 23 24 22 24 25 23 23 22
State B
24 22 20 23 23 50 20 46 21

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data.

Part B: Are the box plots symmetric? Justify your answer.

Answer 1

Arrange data set in ascending order:
State A: 21, 22, 22, 23, 23, 23, 24, 24, 25
State B: 20, 20, 21, 22, 23, 23, 24, 46, 50

State A State B
minimum 21 20
1st Quartile 22 20.5
median 23 23
3rd Quartile 24 46
maximum 25 50
IQR 2 25.5