# Question

Exercise 2.47 showed data for a company that investigated the annual number of days of sick leave taken by its employees. The data are

a. The standard deviation is 2.4. Find and interpret the range.

b. The quartiles are Q1 = 0, median = 0, Q3 = 2. Find the interquartile range.

c. Suppose the 6 was incorrectly recorded and is supposed to be 60. The standard deviation is then 21.1 but the quartiles do not change. Redo parts a–c with the correct data and describe the effect of this outlier. Which measure of variability, the range, IQR, or standard deviation, is least affected by the outlier? Why?

a. The standard deviation is 2.4. Find and interpret the range.

b. The quartiles are Q1 = 0, median = 0, Q3 = 2. Find the interquartile range.

c. Suppose the 6 was incorrectly recorded and is supposed to be 60. The standard deviation is then 21.1 but the quartiles do not change. Redo parts a–c with the correct data and describe the effect of this outlier. Which measure of variability, the range, IQR, or standard deviation, is least affected by the outlier? Why?

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