Make a box and whisker plot to represent each set of data.
Ticket buyers: 220 102 88 98 178 67 42 191 89
Find minimum , first quartile , median , third quartile , and maximum of the given data set and make a box-and-whisker plot.
Answer to Problem 8P
Minimum = 42
First quartile = 77.5
Median = 98
Third quartile = 184.5
Maximum = 220
Explanation of Solution
Given:
220 , 102 , 88 , 98 , 178 , 67 , 42 , 191 , 89
Calculation:
Arrange the data in ascending order:
42 , 67 , 88 , 89 , 98 , 102 , 178 , 191 , 220
The minimum is 42.
The first quartile is the median of the lower half of the data set.
Since the total entries are 9, which is odd , So, the lower half is the first
So , the first quartile is
Median = The middle entry , since there are 9 entries , which is odd . So, median is the
The third quartile is the median of the upper half of the data set.
Since the total entries are 9, which is odd , So, the lower half is the last
So , the third quartile is
The maximum is 220
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