## Math 170: Chapters 1 - 3 Study Guide

1. Identify whether descriptive or inferential statistics has been used. Three parts. Look at problem 1.6.
2. Identify the level of measurement (nominal, ordinal, interval, or ratio) which has been used. Three parts. Look at problem 1.7.
3. Identify each type of sampling as random, cluster, convenience, stratified, or systematic. Three parts. Look at problem 1.12.
4. Find the class boundaries, class midpoint, and class width for a given interval. Look at problem 2.3.
5. Create a stem and leaf plot. Look at problems 2.57 through 2.59.
6. Find the mean (can use the calculator for the mean), median, and modal class for a frequency distribution. Look at problems 3.12 through 3.21.
7. For a sample set, find some statistics. Eight parts. The statistics may be: mean*, standard deviation*, variance, minimum*, maximum*, median*, 1st quartile*, 3rd quartile*, range, lower hinge, upper hinge, midrange, mode. The *'d problems can be found directly using the calculator.
8. Know which statistics involve all the data values. Multiple choice. You should know the mean, standard deviation, and variance do; the median, midrange, mode, and range don't.
9. Know which statistics are greatly affected by extreme values. Multiple choice. You should know the mean, standard deviation, variance, midrange, and range are; the median and mode aren't.
10. Supply the term which best matches the definition. Eight parts. You should know the definitions of: (chapter 1) population, sample, variable; (chapter 2) histogram, ogive; (chapter 3) empirical rule, five-number summary, median, midrange, mode, outlier, parameter, standard deviation, statistic, variance.
11. Know how to calculate the unbiased estimator for the population variance using the shortcut formula (not the calculator shortcut).
12. Use a random number table to generate five random numbers.
13. Use the calculator to generate random numbers and record the values into a frequency distribution using tally marks as the numbers are generated. Then write the frequencies. Find the mean, variance, and standard deviation for the distribution. Construct a histogram.

#### Notes:

• Some of the problems say to look at specific problems in the text. In these cases, the problem on the test is one of the problems stated, or one or more parts of the problem stated.
• This portion of the test is worth 80 points.
• There is a take home portion of the test worth 20 points. The take home portion will be do the day after the exam.

Last updated: Monday, June 16, 1997 at 8:50 AM
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