Concept explainers
Find the minimum, first quartile, median, third quartile, and maximum of each dataset.
33.2 45.1 22.3 76.7 41.9 39 32.2
Find minimum , first quartile , median , third quartile , and maximum of the given data set.
Answer to Problem 3P
Minimum = 22.3
First quartile = 32.2
Median = 39
Third quartile = 45.1
Maximum = 76.7
Explanation of Solution
Given:
33.2 , 45.1 , 22.3 , 76.7 , 41.9 , 39 , 32.2
Calculation:
Arrange the data in ascending order:
22.3 , 32.2 , 33.2 , 39 , 41.9 , 45.1 , 76.7
The minimum is 22.3.
The first quartile is the median of the lower half of the data set.
Since the total entries are 7, which is odd , So, the lower half is the first
So , the first quartile is the 2nd entry = 32.2
Median = The middle entry since there are 7 entries , which is odd =
The third quartile is the median of the upper half of the data set.
Since the total entries are 7, which is odd , So, the upper half is the last
So , the third quartile is the 6th entry = 45.1
The maximum is 76.7
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