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The standard deviation, the range, and interquartile range(IQR) summarize the va

ID: 3254396 • Letter: T

Question


The standard deviation, the range, and interquartile range(IQR) summarize the variability of the data. a. Why is the standard deviation usually preferred over the ranges? b. Why is the IQR sometimes preferred to the standard deviation? c. What is an advantage of the standard deviation over the IQR? Why is the standard deviation usually preferred over the range? A. The range is more affected by an outlier, and the standard deviation uses all the data. B. The range is an average, while the standard deviation is the actual value. C. The standard deviation is sometimes negative, while the range never is. D. The range only uses the largest and smallest observations, while the standard deviation uses all the data except the outliers. Why is the IQR sometimes preferred to the standard deviation? A. The IQR is not affected by an outlier, while the standard deviation is affected by an outlier. B. The IQR uses all the data except the outliers. while the standard deviation uses all the data. C. The IQR only includes the largest and smallest observations, so it is easier to calculate. D. The IQR only uses a quarter of the data, while the standard deviation uses all the data. What is an advantage of the standard deviation over the IQR?

Explanation / Answer

(a)

Explanation: The standard deviation is usually preferred over the range, since the range is most affected by an outlier while the standard deviation is more useful because it covers all the observations in the data.

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(b)

Explanation: The IQR sometimes preferred to the standard deviation, since the IQR only uses a quarter of the data, while the standard deviation uses all the data.

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(c)

Explanation: The advantage of the standard deviation over the IQR is that it takes all the observations in to consideration and the range takes two quarters of the data.

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