Chapter 1: Exploring Data

Key Vocabulary:

 §         individuals §         variables §         categorical variable §         quantitative variable §         distribution §         range §         spread §         frequency §         outlier §         center §         shape §         skewed left §         skewed right §         symmetric §         dot plot §         histogram §         stemplot §         split stems §         back-to-back stemplot §         time plot §         mean §         S §         §         nonresistant §         median §         resistant §         quartiles §         Q1, Q3   §         IQR §         five-number summary §         minimum §         maximum §         boxplot §         modified boxplot §         standard deviation §         variance

 Calculator Skills: §         round( ) §         sortA( ) §         sum §         mean §         1-Var Stats §         Float §         ENTRY        §         ANS §         ZoomStat §         TRACE §         WINDOW

1.1           Displaying Distributions with Graphs (pp.8-36)

1.      In statistics, what is meant by individuals?

2.      In statistics, what is meant by a variable?

3.      What is meant by exploratory data analysis?

4.      What is the difference between a categorical variable and a quantitative variable?

5.      When is it useful to use a bar chart?

6.      When is it useful to use a pie chart?

7.      What is meant by a distribution?

8.      Define range:

9.      When is it better to use a histogram rather than a dotplot?

10.  What is meant by frequency in a histogram?

11.  When setting a window for constructing a histogram on the TI-83:

a.       What is the significance of Xscl?

b.      How do you choose the values of Xmin and Xmax?

c.       What is the significance of Ymax?

12.  Define outlier.

13.  If a distribution is symmetric, what does its histogram look like?

14.  If a distribution is skewed right, what does its histogram look like?

15.  If a distribution is skewed left, what does its histogram look like?

16.  How is the stemplot of a distribution related to its histogram?

17.  When is it advantageous to split stems on a stemplot?

18.  What is the purpose of a back-to-back stemplot?

19.  When is it useful to construct a time plot?

1.2           Describing Distributions with Numbers (pp.37-64)

1.      In statistics, what is the most common measurement of center?

2.      Explain how to calculate the mean,.

3.      Explain how to calculate the median, M.

4.      Explain why the median is resistant to extreme observations, but the median is nonresistant.

5.      In statistics, what is meant by spread?

6.      Explain how to calculate Q1 and Q3.

7.      What is the five-number summary?

8.      What does standard deviation measure?

9.      What is the relationship between variance and standard deviation?

10.  When does standard deviation equal zero?

11.  Is standard deviation resistant or nonresistant to extreme observations?  Explain.