Concept explainers
To graph a box and whisker plot of the given data set
Explanation of Solution
Given information: Data set is
45, 17, 16, 22, 25, 19, 20, 21, 32, 37, 19, 21, 24, 20, 18, 22, 23, 19.
Formula used:
Lower quartile is,
Upper quartile is,
Median is,
Graph:
Calculation:
Re-arranging the data in ascending order,
33, 36, 37, 39, 40, 40, 42, 43, 43, 43, 44, 45, 46, 46, 46, 47, 47, 48, 48, 48, 49, 50, 50, 50, 50, 51, 51, 51, 51, 51, 52, 52, 53, 54, 54, 55
For median, substituting the values,
On solving,
Substituting the values,
On solving,
Hence, median and Q2 is 48
For lower quartile, substituting the values,
On solving,
Rounding off the value,
Substituting the value,
Hence, lower quartile is 43
For upper quartile substituting the values,
On solving,
On rounding off,
Substituting the value,
Hence, upper quartile is 51
Minimum is the smallest value of the data set.
Hence, minimum is 33
Maximum is the biggest value of the data set.
Hence, maximum is 55
Hence, the five- number summary is 33, 43, 48, 51, 55.
Hence, box-whisker plot is
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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