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.

 

 

 

Index