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Mathematics, 17.10.2021 03:50 kaybreezy

Two baseball teams have a push-up contest. There are 24 players on Team A and 23 players on Team B. The team captains display their results in the dot plots shown below. They realize that both teams completed a total of 778 push-ups. The figure presents two dot plots labeled Team A and Team B. The numbers 10 through 60, in increments of 10, are indicated on the horizontal axis for each dot plot. There are 24 dots in the dotplot labeled Team A, and there are 23 dots in the dotplot labeled Team B. In the dotplot labeled Team A, the data are as follows. There is 1 dot above the number 20. There is 1 dot above the number 24. There are 2 dots above the number 26. There are 2 dots above the number 28. There are 3 dots above the number 30. There are 4 dots above the number 32. There are 4 dots above the number 34. There is 1 dot above the number 36. There are 3 dots above the number 38. There are 2 dots above the number 40. There is 1 dot above the number 42. In the dotplot labeled Team B, the data are as follows. There are 2 dots above the number 10. There are 4 dots above the number 16. There is 1 dot above the number 18. There are 2 dots above the number 24. There is 1 dot above the number 30. There are 2 dots above the number 36. There are 2 dots above the number 40. There are 3 dots above the number 46. There is 1 dot above the number 48. There are 4 dots above the number 50. There is 1 dot above the number 60.
The team captains want to estimate rather than calculate the mean number of push-ups based on the median number of push-ups for each group. Which of the following statements is true?

The captain of Team B cannot estimate the mean number of push-ups by using the median because the range is too large.

Answer A: The captain of Team B cannot estimate the mean number of push-ups by using the median because the range is too large.
A

Only the captain of Team A can estimate the mean number of push-ups by using the median because the range is relatively small.

Answer B: Only the captain of Team A can estimate the mean number of push-ups by using the median because the range is relatively small.
B

Neither team captains can estimate the mean number of push-ups by using the median because neither distributions is exactly symmetric.

Answer C: Neither team captains can estimate the mean number of push-ups by using the median because neither distributions is exactly symmetric.
C

Both team captains can estimate the mean number of push-ups using the median because both distributions are approximately symmetric.

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