Question

The data shows the number of seconds it took two randomly selected groups to thread a needle. Compare the measures of center and variability of these data sets.

Student Group A: 56, 14, 26, 28, 29, 45, 32, 80, 3, 10
Student Group B: 27, 24, 18, 19, 5, 16, 22, 10, 6, 20

Which of the following statements about these data sets is false?
A. The ranges of the time taken by Group A and Group B are the same.
B. The amount of variability of the time taken by Group A to thread a needle is higher than the amount of variability of the time taken by Group B.
C. The mean time taken by Group A is higher than that of Group B.
D. The median time taken by members of Group A to thread a needle is higher than that of members of Group B.

Answers

GPT 3.5
A. The ranges of the time taken by Group A and Group B are the same.

This statement is false. The range for Group A is 77 seconds (80-3=77) and the range for Group B is 22 seconds (27-5=22), indicating that the ranges are not the same.

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