Question

The following table shows the number of hours some students in two universities spend reading each week: School A 7 2 3 10 17 14 10 22 2 School B 9 10 16 18 20 15 17 18 14 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

The value of $Q_{1}$, $Q_{2}$, and $Q_{3}$ for each schools is given in the first picture below. 

$Q_{1}$ is the lower quartile
$Q_{2}$ is the median
$Q_{3}$ is the upper quartile

School A:
Minimum value is 2
Maximum value is 22
The lower quartile is 2.5
The median is 10
The upper quartile is 15.5

School B:
Minimum value is 9
Maximum value is 20
The lower quartile is 12
The median is 16
The upper quartile is 18

The box plot for each school is shown in the second picture

Box plot for school A isn't symmetrical. The data tails on the right
Box plot for school B isn't symmetrical. The data tails on the left