## Math 113 - Exam 1 Study Guide (Chapters 1 - 2)

1. Vocabulary: A definition is given. Match it to the term best defined. Twenty terms. Not all terms are used. Know class marks, class boundaries, class limits, continuous data, discrete data, inter-quartile range, mean, median, midrange, mode, non-sampling error, parameter, population, qualitative data, quantitative data, range, sample, sampling error, skewed distribution, standard deviation, statistic, symmetric distribution, variance, variation.
2. A chart and corresponding explanation are given. Know the types of sampling, self-selected surveys, sample size, how to convert a frequency to a percent, and why a large sample isn't necessarily a good thing.
3. Identify each variable as discrete or continuous. Four parts.
4. You will be given the mean, median, range, standard deviation, and variance for a sample. A transformation is then applied to the data from the sample, and you need to indicate what the new values of the statistics are. Two parts. This is from the lab.
5. Determine which type of sampling (random, systematic, stratified, cluster, convenience) is used. Five parts.
6. Know which measures of central tendency and dispersion are affected by extreme values and which ones aren't. Multiple choice.
7. Know which measures of central tendency or dispersion use all the data values and which ones don't. Multiple choice.
8. Portions of a press release are given. Read the article and answer questions based on it. Know the types of sampling, how to apply a margin of error to a sample, and list types of non-sampling error listed in the article.
9. Portions of an article are given. Read the article and answer questions based on it. Find the questionable use of statistics in the article and know the difference between discrete and continuous random variables.
10. Given a stem and leaf plot, find the median and another percentile. Pay attention to stem and leaf plots where there are multiple digit leaves (look at problem 2.3.14).
11. Know which five numbers are in the five number summary and be able to create a box plot from a five number summary. Use the box plot to determine if the data is symmetric, negatively skewed, or positively skewed.
12. Use Pearson's index of skewness to determine if data is symmetric, negatively skewed, or positively skewed. The formula is given on the exam, but you need to know how to interpret it. From activity 2 or problem 2.5.32.
13. Given two sets of data, use Statdisk to find the mean, median, standard deviation, and range of each set. Then compare the means and standard deviations of the two groups.
14. Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Six parts (hint, at least one is repeated).
15. Given a frequency distribution, use the Frequency Table Generator on Statdisk to find the mean, standard deviation, variance, and median. Find the modal class (the class with the largest frequency).

### Notes:

• None of the problems are directly from the text.
• References to data obtained from the Internet are given on the test. They may be ignored for purposes of the exam, but they may provide interesting reading later.
• Be sure to bring your calculator.

### Points per problem

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Total 10 10 4 10 5 2 2 11 7 4 6 4 10 6 9 100