Which of the following data sets has a mean of 10 and standard deviation of 0?


Many data sets can have a mean of 10. However, if you force the standard deviation to be 0, you have only one choice: 10, 10, 10. A standard deviation of 0 means the average distance from the data values to the mean is 0. In other words, the data values don’t deviate from the mean at all, and hence they have to be the same value.