Question

Here is a data set: 1 2 3 3 4 4 4 4 5 5 6 7 a. What happens to the mean and standard deviation of the data set when the 7 is changed to a 70? b. For the data set with the value of 70, why would the median be a better choice for the measure of center than the mean?​

Answer 1

a) The mean and standard deviation both increase. The mean increases because the sum of the numbers increases and the standard deviation increases since the number are spread farther apart.

b) Yes, because the 70, which is an outlier, doesn't have as much of an impact on the center.