Answer:
Hence the five point summary is:
i) Minimum = 12
ii) Maximum = 47
iii) Median = 26
iv) First quartile = 15
v) Third quartile = 32
Explanation:
The five point summary of a box and whisker plot is the minimum, maximum, median, first quartile and third quartile.
Given the number 12, 13, 14, 15, 21, 24, 25, 26, 27, 29, 32, 32, 38, 41, 47.
The median is the middle number = 26
The first quartile is the median of the numbers to the left of the median. Hence the first quartile is the median of 12, 13, 14, 15, 21, 24, 25
First quartile = 15
The third quartile is the median of the numbers to the right of the median. Hence the third quartile is the median of 27, 29, 32, 32, 38, 41, 47.
Third quartile = 32
The minimum is the lowest number = 12
The maximum is the largest number = 47
The box and whisker plot is attached
Hence the five point summary is:
i) Minimum = 12
ii) Maximum = 47
iii) Median = 26
iv) First quartile = 15
v) Third quartile = 32