Consider a sample data set with the summary statistics =58, QL=71, and QU=186. a

Question

Consider a sample data set with the summary statistics =58, QL=71, and QU=186.

a. Calculate IQR.

b. Calculate IQR/s.

c. Is the value of IQR/s approximately equal to 1.3? What does this imply?

What does this imply?

A. The ratio IQR/s isapproximately equal to 1.3, which is evidence that the data are from an approximately normal distribution.

B. The ratio IQR/s is approximately equal to 1.3, which is evidence that the data may not be from an approximately normal distribution.

C. The ratio IQR/s is not approximately equal to 1.3, which is evidence that the data are from an approximately normal distribution.

D. The ratio IQR/s is not approximately equal to 1.3, which is evidence that the data may not bemay not be from an approximately normal distribution.

Explanation / Answer

a. Here IQR = 186 - 71 = 115

b. IQR/s = 115/58 = 1.9827

c. HEre we can say that The ratio IQR/s is not approximately equal to 1.3, which is evidence that the data may not bemay not be from an approximately normal distribution. As for the norma distribution data IQR/s is around 1.3

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