Before an important basketball game, Emek and Luna studied graphs showing how many shots players made out of 20 during two training drills. For Drill A, the results from six sessions were 12, 15, 13, 17, 11, and 16, with a mean of 14 and a range of 6. Drill B produced 14, 15, 16, 15, 14, and 16, with a mean of 15 and a range of 2. Emek noticed that Drill A sometimes produced high scores, but its results were spread widely. Luna pointed out that Drill B had both a higher center and a smaller spread, with every result between 14 and 16. The graph also showed its scores clustered closely around 15. Since the team wanted reliable shooting before the game, Emek and Luna recommended repeating Drill B. The players followed their plan, confident that the decision was supported by the overall pattern of the data.

Challenges

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Challenge 1 of 5

Challenges

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Challenge 1 of 4
Hint
Compare both the center and the spread of the two sets of results.
Which statement best supports Emek and Luna's decision to recommend Drill B for reliable shooting practice?
Drill A has a lower mean and a larger range, so its results are more reliable.Drill B has a higher mean and a smaller range, so its results are both stronger and more consistent.Drill A has a larger range, so its players usually make more shots.Drill B has a smaller range, so its mean must also be smaller.
Correct. Drill B has the higher mean and the smaller range, supporting both stronger and more consistent performance.
Not quite. Consider what the mean tells you about typical performance and what the range tells you about consistency.
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Hint
Use the original mean and number of sessions to find the total, then include the seventh score.
Drill B had six session scores with a mean of 15 shots made. If a seventh session produces a score of 15, what is the mean number of shots made across all seven sessions?
Correct. Adding another score equal to the original mean keeps the mean at 15.
Check the total for the first six sessions, add the seventh score, and divide by 7.
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Hint
Check each drill's mean and range against both conditions.
Suppose the coach wants a drill with a mean of at least 14 shots and a range of no more than 3 shots. Based on the six sessions in the story, which conclusion is correct?
Both drills meet both conditions.Neither drill meets both conditions.Only Drill A meets both conditions.Only Drill B meets both conditions.
Correct. Drill B has a mean of 15 and a range of 2, so it meets both conditions.
Not quite. A drill must satisfy both the mean requirement and the range requirement.
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Basketbol Antrenmanı Planı
TR
ARC_G08_DP_02_STORY_02
Basketbol Antrenmanı Planı
The Basketball Practice Plan
EN
ARC_G08_DP_02_STORY_02
The Basketball Practice Plan