statpractice
Matching. 

1. ______ individual A.  the most frequent observation in a set of data

2. ______ categorical B.  tells us which values variables take and how often

3. ______ mean C.  grouping variable, label

4. ______ mode D.  (if and) how the spread is shifted to the left of right of normal distribution

5. ______ median E.  how much the spread clusters around the mean

6. ______ outlier F.  objects described by a set of data

7. ______ distribution G.  the middle observation in a set of data (or average of the two middle observations)

8. ______ variable H.  average score

9. ______ skewness I.  an observation outside the distribution pattern

10. ______ peakedness J.  any characteristic of an individual

Decide whether each of the following variables is categorical or quantitative.  Use C for categorical and Q for quantitative.

11. ______touchdowns scored by FPD in a pre-season game against last year’s state champion

12. ______size of tires used on trucks in inches

13. ______gender

14. ______favorite color

15. ______state of residency

16. ______chapters in a book

17. ______body weight

18. ______country of citizenship

19. ______college attended

20. ______length of hair





Matching.

21. ______ Σ U. standardized value

22. ______ ŷ V. correlation coefficient

23. ______ z W. predicted variable fore regression

24. ______ s X. slope in regression equation

25. ______ s2 Y. median

21. ______ M U. intercept in regression equation

22. ______ a V. an observation of a variable

23. ______ b W. standard deviation

24. ______ xi X. sum

25. ______ r Y. variance


Fill in the blank.

26.    _________ % of observations fall below -3σ.

27.    _________ % of observations fall above +3σ.

28. _________ % of observations fall within σ of μ in a normal distribution.

29.  _________ % of observations fall within 2σ of μ in a normal distribution.

30. _________ % of observations fall within 3σ of μ in a normal distribution.








Use the following information to answer questions 31.-37.

22 34   41 54    41    60    54    46    35   46   49   24   37   47   59   46

31. Make a stem and leaf plot.






32. What is the median?_____________

33. What is Q1?______________

34. What is Q3?______________

35. Draw a boxplot if the data (labeled correctly).







36. What is the mean?__________

37. What is the standard deviation?_____________

Use the table to answer question 38.

Name Company Profession Age Annual Salary
Mr. Smith Bell South Technician 35 $43,000
Mrs. James AT&T Customer Service Rep 28 $31,000
Mr. Lee Kroger Manager 44 $52,000
Mrs. Watts Sears Sales Associate 56 $48,000


38. Which variables are categorical?__________________________________________________________

Use the table to answer questions 39.-42.


Average # of hours slept Relative Frequency (percentage of students)
4 .01
5 .09
6 .15
7 .35
8 .25
9 .1
10 .05


39. Draw a histogram (correctly labeled).





40. Describe the shape of the distribution.



41. What is the approximate center of the distribution?______________________

42. Describe the spread of the distribution.

YOU MUST SHOW ALL WORK AND DRAW DENSITY CURVES TO RECEIVE CREDIT  FOR THE FOLLOWING PROBLEMS..

Problem A
The level of cholesterol in the blood is important because high cholesterol levels may increase the risk of heart disease.  The distribution of blood cholesterol levels in the following population is roughly normal.  The mean is 170 milligrams of cholesterol per deciliter of blood and the standard deviation is 30.  Levels above 240 milligrams may require medical attention. 

43. What percent have more than 240 milligrams of cholesterol per deciliter of blood?





44. Using the mean and standard deviation , what percent have cholesterol levels between 170 and 240 mill/dec of blood?




Problem B
       Scores on an intelligence scale for the 20-34 age group are approximately normal with a mean = 110 and a standard
       deviation = 25.  Between which two scores are 99.7% of all the observations?

45. Between which two scores are 99.7% of all the observations?
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