Answer :
From the data given, the boxplot will be given by the figure shown:
23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47
summary of the data will be:
1st quartile=20
Median=45
Mean=45.93
3rd quartile=57
23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47
summary of the data will be:
1st quartile=20
Median=45
Mean=45.93
3rd quartile=57

Answer:
Minimum value of the data = 20, Maximum value of the data = 66, Median = 45, First quartile = 36, Third quartile = 59.
Step-by-step explanation:
The given data set is
23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47
Arrange the data in ascending order.
20, 23, 32, 36, 41, 43, 44, 45, 47, 54, 55, 59, 61, 63, 66
Minimum value of the data = 20
Maximum value of the data = 66
Divide the data in two equal parts.
(20, 23, 32, 36, 41, 43, 44,) 45,( 47, 54, 55, 59, 61, 63, 66)
Median = 45
Divide each parenthesis in two equal parts.
(20, 23, 32,) 36,( 41, 43, 44,) 45,( 47, 54, 55,) 59,( 61, 63, 66)
First quartile = 36
Third quartile = 59
The box plot of the data is shown below.
