the mean number of sick days taken by the employees of company a is 9, with the number of days taken ranging…

the mean number of sick days taken by the employees of company a is 9, with the number of days taken ranging from 0 to 16. the mean number of sick days taken by the employees of company b is 6, with the number of days taken ranging from 2 to 9. which best compares the number of sick days taken by the employees of the two companies? a an employee of company b took the most sick days. b on average, the employees of company b take more sick days than the employees of company a. c on average, the employees of company a take fewer sick days than the employees of company b. d the number of sick days taken by employees of company a varies more than the number of days for company b.

the mean number of sick days taken by the employees of company a is 9, with the number of days taken ranging from 0 to 16. the mean number of sick days taken by the employees of company b is 6, with the number of days taken ranging from 2 to 9. which best compares the number of sick days taken by the employees of the two companies? a an employee of company b took the most sick days. b on average, the employees of company b take more sick days than the employees of company a. c on average, the employees of company a take fewer sick days than the employees of company b. d the number of sick days taken by employees of company a varies more than the number of days for company b.

Answer

Explanation:

Step1: Analyze option A

The range of sick - days for Company A is (0) to (16) (so the maximum is (16)), and for Company B is (2) to (9) (so the maximum is (9)). So, an employee of Company A took the most sick days. Option A is wrong.

Step2: Analyze option B

The mean of sick - days for Company A is (9) and for Company B is (6). Since (9>6), on average, employees of Company A take more sick days than Company B. Option B is wrong.

Step3: Analyze option C

Since the mean of sick - days for Company A ((9)) is greater than that for Company B ((6)), on average, employees of Company A take more sick days than Company B. Option C is wrong.

Step4: Analyze option D

The range of a data set is calculated as (R=\text{Max}-\text{Min}). For Company A, (R_A = 16 - 0=16). For Company B, (R_B=9 - 2 = 7). Since (R_A>R_B), the number of sick days taken by employees of Company A varies more than the number of days for Company B.

Answer:

D. The number of sick days taken by employees of Company A varies more than the number of days for Company B.