Concept explainers
To find: Whether the greater interquartile range always have the greater range or not.
Answer to Problem 16MCQ
The Yes the greater interquartile range always have the greater range
Explanation of Solution
Given information:
The given two set of data.
Calculation:
Consider the example.
Range: the maximum and minimum data values in the data set
Interquartile range: the first quartile is the median of the lower half of an ordered data
First quartile
Third quartile
Interquartile range
Range: the maximum and minimum data values in the data set
Range
Interquartile range: the first quartile is the median of the lower half of an ordered data
First quartile
Third quartile
Interquartile range
Therefore, yes the greater interquartile ranges always have the greater range.
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