After several basketball games, Tara and Emek studied graphs of the points scored by two groups of players. Group A had scored 8, 14, 15, 17, and 21 points, while Group B had scored 12, 13, 14, 15, and 16. Tara calculated that Group A had a mean of 15 points, compared with 14 points for Group B. At first, the higher average made Group A seem stronger. Emek noticed another important difference. Group A's scores ranged from 8 to 21, giving a range of 13 points, while Group B's range was only 4 points. The graphs showed that Group A sometimes scored very well but also had games with much lower totals. Group B scored slightly fewer points on average, yet its results stayed closer together. Tara and Emek decided that Group A needed more work on consistent scoring. They planned drills to help those players create reliable scoring chances throughout the next game.

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Challenge 1 of 5

Challenges

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Challenge 1 of 4
Hint
Compare what the mean tells you about typical scoring with what the range tells you about variation.
Which statement best explains why Tara and Emek decided that Group A needed more work on consistent scoring?
Group A had a lower mean and a smaller range than Group B.Group A had a higher mean, but its much larger range showed that its scores varied more.Group A and Group B had the same mean, but Group A had a larger range.Group A had a higher mean and a smaller range, so its scoring was less consistent.
Correct. Group A scored more on average, but its larger range showed greater variation.
Not quite. Use both the mean and the range to compare typical scoring and consistency.
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Hint
Use the original five scores and the new score to find the total for six games, then divide by 6.
After practice, Group A plays one more game and scores 15 points. Using all six Group A scores, what is the new mean number of points?
Correct. The new mean remains 15 points.
Check the total points across all six games, then divide that total by 6.
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Hint
For predictability, focus on how spread out the scores are rather than only on the average.
Suppose the coaches want the group whose scores are more predictable from game to game. Based on the five scores in the story, which group should they choose, and why?
Group A, because its mean of 15 is greater than Group B's mean of 14.Group A, because a range of 13 shows that its scores stay close together.Group B, because its lower mean automatically means its scores are more predictable.Group B, because its range of 4 is much smaller than Group A's range of 13.
Correct. Group B's smaller range indicates that its scores are more consistent.
Not quite. Compare the ranges to determine which group's scores vary less.
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Basketbol Antrenmanını Planlamak
TR
ARC_G07_DP_02_STORY_02
Basketbol Antrenmanını Planlamak
Planning the Basketball Practice
EN
ARC_G07_DP_02_STORY_02
Planning the Basketball Practice