9
QuizMultiple Choice

Variation in Predictions and Estimates

Question 9 • Pre-Algebra B

The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample #Sample Mean Number of Goals17243548Is a valid prediction for the mean of the population possible using these samples?

Answer
A
No, there are not enough samples.
B
Yes, the sample means are all less than 10.
C
Yes, the variation of the sample means is small.
D
No, the variation of the sample means is too great.

Explanation

The four sample means are 7, 4, 5, and 8 goals. They are fairly close together, ranging from 4 to 8, so the samples show little variation. That makes a prediction of the population mean reasonable; choice C says the variation of the sample means is small.

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