Concept explainers
Find the minimum, first quartile, median, third quartile, and maximum of each dataset.
14 18 12 17 14 19 18
Find minimum , first quartile , median , third quartile , and maximum of the given data set.
Answer to Problem 2P
Minimum = 12
First quartile = 14
Median = 17
Third quartile = 18
Maximum = 19
Explanation of Solution
Given:
14 , 18 , 12 , 17 , 14 , 19 , 18
Calculation:
Arrange the data in ascending order:
12 , 14 ,14 , 17 , 18 , 18 , 19
The minimum is 12.
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 = 14
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 = 18
The maximum is 19
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