The table below shows the number of hours some college athletes in two states spend on indoor sports each week:

State A 7 9 5 4 25 21 6 6 8

State B 14 12 10 13 15 14 11 15 16

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.

Question

Julianne Clarke

Mathematics

30 June, 21:35

The table below shows the number of hours some college athletes in two states spend on indoor sports each week:

State A 7 9 5 4 25 21 6 6 8

State B 14 12 10 13 15 14 11 15 16

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.

+4

Answers (1)

Know the Answer?

Arabella Wilcox · Answer 1

State A : 4,5,6,6,7,8,9,21,25

min = 4

max = 24

Q1 = (5 + 6) / 2 = 11/2 or 5.5

Q2 = 7

Q3 = (21 + 9) / 2 = 30/2 = 15

IQR = Q3 - Q1 = 15 - 5.5 = 9.5

state B : 10,11,12,13,14,14,15,15,16

min = 10

max = 16

Q1 = (11 + 12) / 2 = 22/2 = 11

Q2 = 14

Q3 = 15

IQR = 15 - 11 = 4

I am not good with the symmetrical part ... but I do not believe they are symetrical