Question

The dot plots show the number of points that Sophia and Valerie each scored in the first 10 basketball games. The mean for Sophia's Basketball is 8. 5 points and the mean for Valerie's Basketball games is 15. 5 points. The mean absolute deviation of both distributions is 2 points

Part A: The mean number of points scored by Valerie is 2 or 7 or 8. 5 or 15. 5 greater than the mean numbers of points scored by Sophia.

Part B: What multiple of the mean absolute deviation represents the difference in the mean number of points scored by Sophia and Valerie in the first 10 basketball games?

2. 5

3. 0

3. 5

4. 0

Answer 1

The mean number of points scored is the average of points scored

The mean number of points scored by Valerie is 7 greater than the mean numbers of points scored by Sophia.

How to interpret the mean?

The given parameters are:

• Mean for Sophia's = 8.5 points
• Mean for Valerie's = 15.5 points.
• Mean absolute deviation of both = 2 points

Calculate the difference (d) between the mean values

d = 15.5 - 8.5

Evaluate the difference

d = 7

Hence, the mean number of points scored by Valerie is 7 greater than the mean numbers of points scored by Sophia.

The multiple of the mean absolute deviation?

In (a), we have:

Mean absolute deviation of both = 2 points

Difference  = 7

Express as products

Difference = 2 * 3.5

Hence, 3.5 is a factor of the difference between the mean

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