Comparing Data Distributions Quick Check
4 of 54 of 5 Items
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 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 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 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.
This statement is false. The median time is the middle value when the data is arranged in ascending order. For Group A, the data set in ascending order is 3, 10, 14, 26, 28, 29, 32, 45, 56, 80. The middle value is 29. For Group B, the data set in ascending order is 5, 6, 10, 16, 18, 19, 20, 22, 24, 27. The middle value is 19. Therefore, the median time for Group A is 29 and the median time for Group B is 19, so the median time for Group A is not higher than that of Group B.