The number of hours worked by each of the employees last week at two stores are listed below.Hours Worked in a Week at Two StoresStore 116, 28, 36, 40, 78Store 222, 27, 33, 36, 40Which statements are true and supported by the data in the table? Check all that apply.
Answer
A
The data for store 1 shows greater variability.
B
The median number of hours worked for the two stores is the same.
C
The mean of the data for store 1 is greater than the mean of the data for store 2.
D
The interquartile range of both data sets is the same.
E
The range of the data for store 1 is less than the range of the data for store 2.
Explanation
Store 1 has a range of 78 − 16 = 62 hours, while store 2 has a range of 40 − 22 = 18 hours, so store 1 shows greater variability. The means are 198 ÷ 5 = 39.6 hours for store 1 and 158 ÷ 5 = 31.6 hours for store 2, so store 1’s mean is greater. The medians are 36 and 33, and the interquartile ranges are 37 and 13.5, so statements B and D are false; statement E is also false because store 1’s range is greater, not less.
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