. Explain the difference between a population mean and a sample mean without using the words population, sample, or mean. Use our weekly scenario to help in your explanation.
- Calculate the range, variance, and standard deviation in EXCEL for the SAMPLE below:
4, 2, 5, 7, 5, 12, 6, 9, 5, 6, 5, 4, 4, 4, 5, 2 - Discuss how variance and standard deviation measure variation. Use #2 to illustrate.
- The Empirical Rule for a normally distributed population and Chebyshev’s Theorem have the same basic purpose. In your own words, explain that purpose.
- Calculate the range, variance, and standard deviation in EXCEL for the list of numbers in #2, but this time, instead of a sample, you are working with a POPULATION. What numbers changed? What didn’t? Explain why the numbers changed or did not change.
- Explain the following in your own words: percentile, the first quartile, the third quartile, and the IQR (interquartile range). Use the list of numbers in #2 to find these values.