Question

the table shows the mean number of basketball goals made by four random samples of players from the school team during this years season. is a valid prediction for the mean of the population possible using these samples? no, there are not enough samples. yes, the sample means are all less than 10. yes, the variation of the sample means is small. no, the variation of the sample means is too great.

Explanation:

When sample means have small variation, they are more likely to be representative of the population mean. Here, the sample means are 7, 4, 5, and 8. The differences between these values are not large, indicating small variation. This allows for a valid prediction of the population mean. Having a small number of samples doesn't necessarily mean a prediction isn't valid, and the fact that the sample - means are less than 10 is irrelevant to the validity of the prediction.

Answer:

Yes, the variation of the sample means is small.