Concept explainers
To find: If the third quartile of a data set must be less than the maximum value.
Explanation of Solution
Given information:
Need to explain if the third quartile of a data set must be less than the maximum value
Calculation:
Quartiles are the value which divided a data set into four equal parts. Median represents second quartile
Let us consider a data set as
Here third quartile is equal to the maximum value. Hence, it is not mandatory to have third quartile always less than maximum data value. It can be equal as well.
A box-and-whisker plot is shown below. The box portion of the plot represents interquartile range.
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