Question

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) Responses 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. 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. The center of graph 1 is five places away from graph 2 and points are on average 8.5 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. The two graphs have the same center and points are on average three away from the center. The two graphs have the same center and points are on average three away from the center. 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.

Answer 1

To determine the correct comparison between the two graphs, let's analyze the information provided:

- **Graph 1**: Mean = 7, Deviation = 5
- **Graph 2**: Mean = 10, Deviation = 5

### Center Comparison:
- The mean (center) of graph 1 is 7.
- The mean (center) of graph 2 is 10.
- The distance between the two means is \( |10 - 7| = 3 \).

### Average Deviation Comparison:
- The average deviation for both graphs is the same at 5, meaning that points in both graphs are, on average, 5 units away from their respective centers.

### Summary:
- The center of graph 1 (7) is **3 places away** from the center of graph 2 (10).
- Points in both graphs are **on average 5 away** from their centers.

Based on this analysis, 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.**