Given the following descriptions, which of the following correctly compares the average deviations and describes how the center of graph 1 relates to that of graph 2 ? graph 1: mean=7; deviation=5 graph 2 : mean=10; deviation=5 ( 1 point) 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. O 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. O The two graphs have the same center and points are on average three away from the center. The center of graph 1 is five places away from graph 2 and points are on average 8.5 away from the center.

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UpStudy AI · Accepted Answer

1. The difference between the centers (means) of the graphs is:
   $$
   10 - 7 = 3.
   $$
   Thus, the centers are 3 places apart.

2. The average deviation is 5 for both graphs, indicating that, on average, data points are 5 units from the respective mean in each graph.

3. Therefore, the correct description is:
   $$
   \text{"The center of graph 1 is three places away from graph 2 and points are on average five away from the center in both graphs."}
   $$
The center of graph 1 is three places away from graph 2, and points are on average five units away from the center in both graphs.

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