
Concept explainers
(a)
To Explain: the
(a)

Answer to Problem 25E
Median would be affected marginally.
The mean would be skewed upward.
Explanation of Solution
Median would be affected marginally.
The mean would be skewed upward.
The median would be, at most, shifted over one value either above, below, or not at all. If assume that the researcher’s salary is the highest, it would have no impact on the median. The largest number was already the largest number, and was not counted in the median anyway, as it cannot be the centre data point. The, mean; however is the average of all values. Replacing one value with a much larger value would cause the mean to increase.
(b)
To Explain: the
(b)

Answer to Problem 25E
The range would be increase significantly.
The IQR would not be change.
The standard deviation would increase significantly.
Explanation of Solution
Assuming the researcher’s salary is the highest in the company:
The range would be increase significantly (by 1.8 million, to be exact).
The IQR would not be change.
The standard deviation would increase significantly.
The range is the highest number minus the lowest, if the highest increases significantly, the range would increase by the change. The IQR only counts the first and third
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