# Sometimes outliers can have a significant effect on statistics, and sometimes they dont. Use the following distribution

## Question:

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?

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**Related Book For**

## Financial Algebra Advanced Algebra With Financial Applications

**ISBN:** 9781337271790

2nd Edition

**Authors:** Robert Gerver, Richard J. Sgroi