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?
(1 point)
Responses
The mean time taken by Group A is higher than that of Group B.
The mean time taken by Group A is higher than that of Group B.
The median time taken by members of Group A to thread a needle is higher than that of members of Group B.
The median time taken by members of Group A to thread a needle is higher than that of members of Group 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.
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.
The ranges of the time taken by Group A and Group B are the same.
The ranges of the time taken by Group A and Group B are the same.
The mean time taken by Group A is higher than that of Group B. This statement is false because the mean time for Group A is 33 seconds while the mean time for Group B is 15 seconds.
The median time taken by members of Group A to thread a needle is higher than that of members of Group B. This statement is true because the median time for Group A is 29.5 seconds while the median time for Group B is 19 seconds.
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. This statement is true because the standard deviation for Group A is approximately 26.39 seconds while the standard deviation for Group B is approximately 6.67 seconds.
The ranges of the time taken by Group A and Group B are the same. This statement is false because the range for Group A is 77 seconds (80 - 3) while the range for Group B is 21 seconds (27 - 6).
Therefore, the false statement is: The mean time taken by Group A is higher than that of Group B.