Concept explainers
Find the minimum, first quartile, median, third quartile, and maximum of each dataset.
1.4 0.2 2.3 1.0 0.8 2.4 0.9 2.1
Find minimum , first quartile , median , third quartile , and maximum of the given data set.
Answer to Problem 5P
Minimum = 0.2
First quartile = 0.85
Median = 1.2
Third quartile = 2.2
Maximum = 2.4
Explanation of Solution
Given:
1.4 , 0.2 , 2.3 , 1.0 , 0.8 , 2.4 , 0.9 , 2.1
Calculation:
Arrange the data in ascending order:
0.2 , 0.8 , 0.9 , 1.0 , 1.4 , 2.1 , 2.3 , 2.4
The minimum is 0.2.
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 2.4
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