Sometimes outliers can have a significant effect on statistics, and sometimes they don’t. Use the following distribution to determine which statistics are affected by outliers. Round to the nearest hundredth.

2, 4, 5, 7, 8

a. Find the median of the distribution.
b. Find the mean of the distribution.
c. Find the standard deviation of the distribution.
d. Make a new distribution consisting of the same first four numbers, but change the 8 to 800. Find the mean, median, and standard deviation.
e. Look at your answers to part d. Which statistic was least changed by the outlier of 800?