A company decides to investigate the amount of sick leave taken by ts employees.

Question

A company decides to investigate the amount of sick leave taken by ts employees. A sample of four employees yields the following numbers of days of sick leave taken in the past year (a) Find the range. ange (whote number) (b) Interpret the range O The range is the usual number of days taken by an employee O The range is the typical distance of an observation from the mean O The range is the number of days separating the fewest and most sick days taken (c) Find the sample standard deviation, s (Depending on your values, you may need to use up to 2 decimal places in the frst column below, and up to 3 decimal places in the second columm below) Value Deviation from the mean Squared Deviation (3 decimal places (3 decimal places) (e) Interpret the sample standard deviation The number of days separating the fewest and most sck days taken, The usual number of days taken by an employee. The typical distance of an observation from the mean

Explanation / Answer

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a)   range = 5-0 5 b) option C) is correct c) mean = (0+0+5+2)/4 1.75 value deviation from mean squared 0 -1.75 3.0625 0 -1.75 3.0625 5 3.25 10.5625 2 0.25 0.0625 sum(xi-xbar)^2 16.75 s 2.362908 d) option C) is correct e) 24.68468 f) option D) is correct

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