Concept explainers
Make a box and whisker plot to represent each set of data.
Winning times (min): 148 148 158 149 164 163 149 156
Find minimum , first quartile , median , third quartile , and maximum of the given data set and draw box-and-whisker plot.
Answer to Problem 10P
Minimum = 148
First quartile = 148.5
Median = 152.5
Third quartile = 160.5
Maximum = 164
Explanation of Solution
Given:
148 , 148 , 158 , 149 , 164 , 163 , 149 , 156
Calculation:
Arrange the data in ascending order:
148 , 148 , 149 , 149 , 156 , 158 , 163 , 164
The minimum is 148.
The first quartile is the median of the lower half of the data set.
Since the total entries are 8, which is even , So, the lower half is the first
So , the first quartile is
Median = The mean of
The third quartile is the median of the upper half of the data set.
Since the total entries are 8, which is even , So, the upper half is the last
So , the third quartile is
The maximum is 164
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