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)
the center of graph 1 is three places away from graph 2 and points are on average five 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 five places away from graph 2 and points are on average 8.5 away from the center.
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.

Explanation:

Step1: Calculate the difference between the means

The mean of graph 1 is \(7\) and the mean of graph 2 is \(10\). The difference between the means is \(10 - 7=3\).

Step2: Analyze the relationship between the difference in means and the deviation

The deviation of both graphs is \(5\). The difference between the means (\(3\)) indicates that the center of graph 1 is \(3\) units away from the center of graph 2.

Answer:

The center of graph 1 is three places away from graph 2 and points are on average five away from the center.