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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)
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 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.
All Answers 1
Answered by
GPT-5 mini
AI
The false statement is: "The ranges of the time taken by Group A and Group B are the same."
Calculations:
- Mean A = 323/10 = 32.3, Mean B = 167/10 = 16.7 (A > B).
- Median A = (28+29)/2 = 28.5, Median B = (18+19)/2 = 18.5 (A > B).
- Range A = 80 − 3 = 77, Range B = 27 − 5 = 22 (not the same).
- Variability (spread) for A is larger than B (e.g., larger range and more spread around the mean).
So the range statement is false.
Calculations:
- Mean A = 323/10 = 32.3, Mean B = 167/10 = 16.7 (A > B).
- Median A = (28+29)/2 = 28.5, Median B = (18+19)/2 = 18.5 (A > B).
- Range A = 80 − 3 = 77, Range B = 27 − 5 = 22 (not the same).
- Variability (spread) for A is larger than B (e.g., larger range and more spread around the mean).
So the range statement is false.
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