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. (6 points) Part B: Are the box plots symmetric? Justify your answer. (4 points)

Answer 1

state A:
21,22,22,23,23,23,24,24,25

minimum = 21
Q1 = 22
Q2(median) = 23
Q3 = 24
maximum = 25
IQR = Q3 - Q1 = 24 - 22 = 2

state B:
20,20,21,22,23,23,24,46,50
minimum = 20
Q1 = (20 + 21)/2 = 20.5
Q2(median) = 23
Q3 = (24 + 46)/2 = 35
maximum = 50
IQR = 35 - 20.5 = 14.5

I do not believe they are symmetrical....I think state B is skewed to the right