To analyze the two graphs based on the given information:
- Graph 1 has a mean of 7 and a deviation of 5.
- Graph 2 has a mean of 10 and a deviation of 5.
Comparing the means (centers) of the two graphs:
- The mean of Graph 1 (7) is 3 places away from the mean of Graph 2 (10) since (10 - 7 = 3).
Comparing the average deviations:
- Both graphs have the same deviation of 5.
Now, we can look at the provided options:
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The center of graph 1 is five places away from graph 2 and points are on average 8.5 away from the center. - Incorrect. The means are 3 places away, not 5.
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The center of graph 1 is three places away from graph 2 and points are on average five away from the center in both graphs. - Correct, as the means are 3 places apart and the deviation is 5 for both graphs.
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The center of graph 1 is seven places away from graph 2 and points are on average five away from the center in both graphs. - Incorrect. The centers are 3 places apart, not 7.
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The two graphs have the same center and points are on average three away from the center. - Incorrect. The centers are not the same; they are 3 places apart.
The correct response is: The center of graph 1 is three places away from graph 2 and points are on average five away from the center in both graphs.
1 answer