Geoffrey is looking at two datasets, each of which has the same mean. How can he determine which of the two datasets has less variability?(1 point) Responses The dataset with less variability has a smaller deviation. The dataset with less variability has a smaller deviation. The datasets have the same variability because their means are the same. The datasets have the same variability because their means are the same. The dataset with more pieces of data will have less variability. The dataset with more pieces of data will have less variability. The dataset with less variability has a greater deviation.

Answer 1

To determine which of the two datasets has less variability, Geoffrey should consider the concept of deviation, specifically the standard deviation or variance of each dataset. The correct response is:

The dataset with less variability has a smaller deviation.

This means that if he calculates the standard deviation of both datasets, the one with the smaller standard deviation will have less variability. The means being the same does not provide any information about the variability of the two datasets.