Question

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. 

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