Concept explainers
To explain: whether the
Answer to Problem 101E
Yes, the interquartile
Explanation of Solution
Given:
Interquartile range
Calculation:
The range is a resistant measure of spread, thus it is unaffected by outliers.
Take the following data list
1,2,3,4,5,6,7
Since the number of data values is odd, the
The first quantile is the median of all data values below the median. Since the data set contains 3 values below the median, the first
The third quantile is the median of all data values above the median. Since the data set contains 3 values above the median, the third quartile is then the 6 th data value.
The interquartile range is the difference between the third and the first quartile:
If we change the 7 to 100, then we note that the IQR will not change, because the first and third quartile does not change. Thus IQR is resistant.
Conclusion:
Therefore,the interquartile range is a resistant measure of spread
Chapter 1 Solutions
The Practice of Statistics for AP - 4th Edition
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