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.

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 0.2.
The average deviation from the mean is 0.2.

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.
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1 answer

To calculate the average deviation from the mean for the number of goals per game scored by soccer team B, we would first need to find the mean (average) of the data points plotted on the number line, and then calculate the deviations of each data point from the mean, followed by averaging those deviations.

Since I don't have access to the actual data points from the image, I'll guide you through the method, and you can use it to calculate the average deviation based on your data.

  1. Find the Mean:

    • Add all the goals scored (e.g., if the points plotted are 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, the sum would be 35).
    • Divide this sum by the number of data points (e.g., 10 if there are 10 points).
  2. Calculate Deviations from the Mean:

    • For each data point, find the absolute deviation from the mean (|data point - mean|).
  3. Find the Average Deviation:

    • Sum all the absolute deviations.
    • Divide that sum by the number of data points (10 in this case).

Now, based on the answers provided, you can see what matches your calculations. If after computation you find the deviation averages as one of the responses, that would be your answer.

If you want to provide me with the plotted points, I can help you compute it directly. Otherwise, you can compute it using the steps above.