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 mean time taken by Group A is higher than that of Group B.
B. The ranges of the time taken by Group A and Group B are the same.
C. 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.
D. The median time taken by members of Group A to thread a needle is higher than that of members of Group B.
A. The mean time taken by Group A is actually lower than that of Group B.
B. This statement is true. Both groups have a range of 77 seconds.
C. This statement is true. The standard deviation of Group A is 25.83 seconds, while the standard deviation of Group B is 6.60 seconds, indicating greater variability in Group A.
D. This statement is false. The median time taken by Group A is 29 seconds, while the median time taken by Group B is 19 seconds, indicating that Group B has a higher median time.