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1 answer:
The five-number summary of the data set:
Minimum: 2
First Quartile: 4
Median: 7.5
Third Quartile: 9
Maximum: 15
The box-and-whisker plot of the data set is shown in the attached image.
<h3>What is Box-and-whisker Plot?</h3>A box-and-whisker plot is a graphical representation of a data that displays the five-number summary of a data distribution which includes: lower and upper quartiles, median, minimum and maximum values.
Given the data set above first, order the data then find the five-number summary of the data set.
Ordered data: 2, 2, 3, 3, 4, 5, 5, 6, 7, 8, 8, 8, 9, 9, 12, 13, 14, 15.
The five-number summary of the data set would be:
Minimum: 2 (the least data point)
First Quartile: 4 (middle of the first half of the data set)
Median: 7.5 (center of the data set)
Third Quartile: 9 (middle of the second half of the data set)
Maximum: 15 (the largest data point of the data set)
The interquartile range (IQR) = Third Quartile - First Quartile
The interquartile range (IQR) = 9 - 4
The interquartile range (IQR) = 5
The box-and-whisker plot of the data set is shown in the attached image.
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