The Nature of Mathematics, 12th Edition
Home
about dr. smith
glossary
transparencies
other books

Chapter1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
group projects
individual projects
links by topic

Section 14.6: Review for Chapter 14

Studying for a chapter examination is a personal process, one which nobody else can do for you. Simply take the time to review what you have done.

Here are the new terms in Chapter 14.
Average [14.2]
Bar graph [14.1]
Bell-shaped curve [14.3]
Bimodal [14.2]
Box plot [14.2]
Circle graph [14.1]
Classes [14.1]
Continuous distribution [14.3]
Correlation [14.4]
Cumulative frequency [14.3]
Deciles [14.2]
Descriptive statistics [14.2]
Fallacy of exceptions [14.5]
Frequency [14.1]
Frequency distribution [14.1]
Graph [14.1]
Grouped frequency distribution [14.1]
Inferential statistics [14.5]
Interval [14.1]
Least squares line [14.4]
Least squares method [14.4]
Line graph [14.1]
Linear correlation coefficient [14.4]
Mean [14.2]
Measures of central tendency [14.2]
Measures of dispersion [14.2]
Measures of position [14.2]
Median [14.2]
Mode [14.2]
Normal curve [14.3]
Pearson correlation coefficient [14.4]
Percentile [14.2]
Pictograph [14.1]
Pie chart [14.1]
Population [14.5]
Quartile [14.2]
Range [14.2]
Regression analysis [14.4]
Sample [14.5]
Scatter diagram [14.4]
Significance level [14.4]
Skewed distribution [14.3]
Standard deviation [14.2]
Statistics [overview]
Stem-and-leaf plot [14.1]
Target population [14.5]
Type I error [14.5]
Type II error [14.5]
Variance of a population [14.2]
Variance of a random variable [14.2]
Weighted mean [14.2]
z-score [14.3]

If you can describe the term, read on to the next one; if you cannot, then look it up in the text (the section number is shown in brackets).

IMPORTANT IDEAS

Can you explain each of these important ideas in your own words?
Bar graphs, line graphs, circle graphs, and pictographs [14.1]
Misuses of graphs [14.1]
Measure of central tendency. [14.2]
Mean, weighted mean, median, and mode [14.2]
Standard deviation [14.2]
Normal curve [14.3]
z-scores. [14.3]
Linear correlation coefficient [14.4]
Slope and y-intercept of the least squares (or regression) line [14.4]
Descriptive and inferential statistics [14.5]
Sample vs. population [14.5]
Type I and Type II sampling error [14.5]

Next, make sure you understand the types of problems in Chapter 14.

TYPES OF PROBLEMS

Prepare a frequency distribution. [14.1]
Draw a bar graph. [14.1]
Draw a line graph. [14.1]
Draw a stem-and-leaf plot. [14.1]
Draw a circle graph. [14.1]
Draw a pictograph. [14.1]
Read and interpret relationships presented in graphical form. [14.1]
Recognize misuses of graphs. [14.1]
Find the mean, median, and mode for a set of data. [14.2]
Decide on an appropriate measure of central tendency. [14.2]
Find the range, standard deviation, and variance for a set of data. [14.2]
Find a cumulative distribution. [14.3]
Interpret information given in table form. [14.3]
Find the expected numbers for ranges of a normally distributed set of data. [14.3]
Determine the probability of falling within a certain range of a normally distributed set of data. [14.3]
Find and use z-scores. [14.3]
Know the meanings associated with a normal curve. [14.3]
Draw a scatter diagram for a data set. [14.4]
Decide whether there is a significant linear correlation between two given variables. [14.4]
Find a regression line for a data set.[14.4]
Discuss the type of correlation for a given data set. [14.4]
Determine whether there is a significant linear correlation, given the number of items and the correlation coefficient. [14.4]
Find the correlation coefficient for a given set of data. [14.4]
Choose an appropriate procedure for selecting an unbiased sample. [14.4]
Classify Type I and Type II errors. [14.5]
Make an inference about a population by taking a sample. [14.5]

Once again, see if you can verbalize (to yourself) how to do each of the listed types of problems. Work all of Chapter 14 Review Questions (whether they are assigned or not).

Work through all of the problems before looking at the answers, and then correct each of the problems. The entire solution is shown in the answer section at the back of the text. If you worked the problem correctly, move on to the next problem, but if you did not work it correctly (or you did not know what to do), look back in the chapter to study the procedure, or ask your instructor. Finally, go back over the homework problems you have been assigned. If you worked a problem correctly, move on the next problem, but if you missed it on your homework, then you should look back in the book or talk to your instructor about how to work the problem. If you follow these steps, you should be successful with your review of this chapter.

We give all of the answers to the Chapter Review questions (not just the odd-numbered questions), so be sure to check your work with the answers as you prepare for an examination.