Exam 1 Study Guide: Chapters 1-2

  1. Complete the data set so that it satisfies the given characteristics. You'll need to know the definitions of mean, median, and mode to do this. For example, if the mean is 20 and the first three numbers are 10, 12, and 45, what is the fourth number? Four parts.
  2. Use the standardization formula z = ( x - μ ) / σ to solve for the missing variable. There are four parts, in each case, three of the values are given and you're asked to find the fourth.
  3. A mean and standard deviation are given. Label a bell curve to demonstrate the 68-95-99.7 rule.
  4. Parts of a press release are given. Read it and describe the context of the data. Make an appropriate graph based on the data.
  5. Results of a survey are given. Make an appropriate graph based on the data.
  6. Determine whether or not the graph or chart is appropriate for the type of data described. For example, is a pie chart appropriate when more than one category can be selected? Is a histogram appropriate for two related numerical variables? Nine parts.
  7. A graph is given. Use it to answer the questions.
  8. An ogive (graph of the cumulative relative frequency) is given. Use it to answer the questions.
  9. Summarized data (the output from Minitab) is given. Use that information to find the range, variance, interquartile range. Draw and label a box plot.
  10. The mean, median, range, standard deviation, and variance for a dataset are given. Determine what those statistics will be after the indicated transformation is applied. Five parts. Look at question 1 on the chapter 2 technology exercise.
  11. Given a small set of data values, find the mean, median, mode, midrange, variation, variance, and standard deviation. Look at problems 2.4.1-8, 2.5.1-8, and classroom activity 2.
  12. Create a five number summary for a set of data. Remember that the data must be sorted before finding measures of position.
  13. Identify the type of sampling used. Ten parts. Look at problems 1.4.9-20.
  14. Look at a histogram where the bars are one standard deviation wide. Determine the percent of the data that lies within one, two, and three standard deviations of the mean and whether or not 68-95-99.7 rule applies. Chebyshev's Rule is stated, see if your data follows that rule. Look at questions 5 and 6 on classroom activity 1.
  15. Find the mean, variation, variance, and standard deviation given the totals. This is kind of like #11, except you had to go through and find the deviations and square them there. Here, you're given a different set of formulas and the values to plug into them, but you'll need to be able to do that. You also need to know the relationship between the variation, variance, and standard deviation.

Notes

Points per problem

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