Question

Use the image to answer the question.

A horizontal number line with arrows at both ends is titled at the top as Soccer Team B. Below the line is the title, Number of Goals per Game. The line is numbered 0 to 5 in increments of 1 and has a total of 10 closed points plotted.
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The closed points are stacked vertically over the numbers as follows: 0 closed points over 0; 0 closed points over 1; 2 closed points over 2; 6 closed points over 3; 2 closed points over 4, and 0 closed points over 5.


Which of the following correctly calculates the average deviation from the mean number of goals per game scored by soccer team B?

(1 point)
Responses

The average deviation from the mean is 2.5.
The average deviation from the mean is 2.5.

The average deviation from the mean is 0.4.
The average deviation from the mean is 0.4.

The average deviation from the mean is 0.67.
The average deviation from the mean is 0.67.

The average deviation from the mean is 0.2.
The average deviation from the mean is 0.2.
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Answer 1

Mean = (2·2 + 3·6 + 4·2)/10 = 30/10 = 3.
Sum of absolute deviations = 2·|2−3| + 6·|3−3| + 2·|4−3| = 2·1 + 6·0 + 2·1 = 4.
Average deviation = 4/10 = 0.4.

So the correct choice is 0.4.