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Concept explainers
To discuss: The variability of the data.
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Answer to Problem 10MCQ
Terms | 30 |
Median | 84.5 |
75 | |
90 | |
Interquartile | 15 |
Semi-interquartile | 7.5 |
Outliers | One |
Explanation of Solution
Given information:
Formula used:
Median for even terms =
Median for odd terms =
Calculation:
Variability of the data can be studied by box-and-whisker plot.
It represent the median, quartiles, interquartile range , and extreme values in a set of the data.
Consider the data in ascending order,
So,
The median is
The mode of is
The mean of scores are
For quartile points :-
Since the median is 84.5.
Lower half -
Upper half -
Median of lower half is −
Median of upper half is −
The quartile points are :-
For interquatrtile:-
The inter- quartile range is
For semi-interquartile :-
The semi-interquartile range -
For outlier
The lower extreme 54 and the upper extreme 99 are within he limits.
So, there will be only one outlier.
Therefore,
Terms | 30 |
Median | 84.5 |
75 | |
90 | |
Interquartile | 15 |
Semi-interquartile | 7.5 |
Outliers | One |
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Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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