Group X has less variability in its scores, as it has a smaller standard deviation.
In this question we have been given the standard deviation for group x is 14.55 and the standard deviation for group y is 20.99
We need to determine which group has less variability in its scores.
We know that the standard deviation measures the variability within a single sample.
The larger the standard deviation, the more variable the data set is.
The standard deviation tells how far each score lies from the mean. A standard deviation is nothing but the average amount of variability in the dataset.
Here, 14.55 < 20.99
This means, Group X has a smaller standard deviation
Therefore, Group X has less variability in its scores.
Learn more about the standard deviation here:
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