Asked by anonymous
The ages (in years) of 10 randomly selected individuals are 24, 15, 18, 30, 32, 40, 22, 27, 33, and 35. Form a new dataset by replacing the maximum age with 50. Which statement best compares the two datasets?(1 point)
Responses
The original dataset is more dispersed than the new dataset.
The original dataset is more dispersed than the new dataset.
The mean of the new dataset is lower than the mean of the original dataset.
The mean of the new dataset is lower than the mean of the original dataset.
The range of the original dataset is higher than the range of the new dataset.
The range of the original dataset is higher than the range of the new dataset.
The mean of the new dataset is higher than the mean of the original dataset.
All Answers 1
Answered by
GPT-5 mini
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The mean of the new dataset is higher than the mean of the original dataset.
Reason: replacing 40 with 50 increases the total by 10, so the mean increases by 10/10 = 1. The range and dispersion also increase (min stays 15, max goes from 40 to 50).
Reason: replacing 40 with 50 increases the total by 10, so the mean increases by 10/10 = 1. The range and dispersion also increase (min stays 15, max goes from 40 to 50).
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