Answer:
Five number summary is:
Minimum Value = 32
First Quartile = 56
Median = 69.5
Third Quartile = 80
Maximum Value = 99
Box plot is used to represented by Option C.
Step-by-step explanation:
The box plot is made up of five number summary.
The five number summary consists of:
Minimum Value
First Quartile
Median
Third Quartile
Maximum Value
So, Looking at the data set and finding five number summary,
Minimum Value = 32
First Quartile
We find median of lower half of data (i.e all data before median)
(55+57)/2 =112/2 =56
So, First Quartile = 56
Median
Mean of middle most numbers: 69+70/2 = 69.5
So, Median = 69.5
Third Quartile
We find median of upper half of data (i.e all data after median)
(79+81)/2 =160/2 =80
So, Third Quartile = 80
Maximum Number = 99
So, Five number summary is:
Minimum Value = 32
First Quartile = 56
Median = 69.5
Third Quartile = 80
Maximum Value = 99
Box plot is used to represent this five number summary.
Option C is correct.
