1. Box Plots & Distributions
JEOPARDY
FST - Chapter 1
Measures of Center
Measures of Spread
Tables & Graphs
Box Plots & Distributions
Misc
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2. Evaluate . What does the expression in part represent?
$100
Evaluate What does the expression in part represent?
Answer

3. $100
Answer 13
The expression represents the mean of the values.

4. What is the median average annual pay in the fifty states?
$200
The data represent the average annual pay for residents of each of the fifty states in 1994 as reported in the Statistical Abstract of the United States Each stem indicates $ All values have been rounded to the nearest $100.
What is the median average annual pay in the fifty states?
Answer

5. $200
Answer
$24,450

6. $300
Kyle’s college computes grade point averages (GPA)by assigning points for grades; A=4.0, B+=3.5, B=3.0, C+=2.5, C=2.0, D=1.0, and F=0. It then weights the grades by the number of semester hours for each course. Compute Kyle’s semester GPA based on the report below.
Course
Grade
Hours
Writing B+ 2
Biology C+ 6
French II A 4
Calculus B 5
Answer

7. $300
Answer

8. $400
The mean of a set of n numbers is 180, if 54 is added to the set of numbers the new mean is Find n.
Answer

9. $400
Answer
n = 5

10. $500
In a data set in which the mean and median have the same value there is an outlier greater than Q3. Describe the relation of the mean and median after the outlier is removed.
Answer

11. $500
Answer
mean ≤ median

12. State the interquartile range.
$100
State the interquartile range.
Answer

13. $100
Answer 15

14. $200
The salaries for eight employees of Flatco are below. Does the data set contain any outliers? If so, name them. If not, explain why not.
Flatco Salaries ($000) 81 61 76 56 71 51 66 46
Answer

15. Outliers would have to be > 103.5 or < 23.5. There are none.
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Answer
IQR=20
Outliers would have to be > or < 23.5.
There are none.

16. $300
The following data set is the number of free throws a school basketball team scored in the first 10 games of the season. Find the standard deviation of the data.
12, 14, 18, 5, 10,
14, 24, 11, 12, 14
Answer

17. $300
Answer
approx

18. $400
Jack and Jill each tossed a standard six-sided die the same number of times. Each time they recorded the number tossed. Whose data have the greater spread: Jack or Jill? Justify your answer.
Answer

19. $400 Answer Jill’s data have the greater spread.
Justification: The population variance and standard deviation for Jill’s data are slightly greater than the corresponding measures for Jack’s data.
Jack: variance = 2.959, std. dev. = 1.720
Jill: variance = 2.980, std. dev. = 1.726

20. $500
Are there any outliers for the revenues reported in the Fortune 500 list from 1996?
Answer

21. $500
Answer
147 billion, 168 billion

22. $100
Find the average rate of change of the world population per year between 1650 and 2000.
Answer

23. $100
Answer
about 16,100,000 people per year

24. How many female high school graduates enrolled in college in 1995?
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How many female high school graduates enrolled in college in 1995?
Answer

25. About 836,000 female high school graduates
$200
Answer
About 836,000 female high school graduates

26. $300
Which would be most suitable for displaying the data: a bar graph, a line graph, or a dotplot?
Answer

27. $300
Answer
Bar graph
(The data do not involve two numerical variables so not a line graph; and There are too many students which would mean too many dots for a dotplot.)

28. $400
The bar graph shows the distributions of last year’s revenues by season for a health club. The circle graph shows the corresponding distribution for a country club. In what season(s) did the country club have greater revenues than the health club?
Answer

29. $400
Answer
Summer, Fall

30. $500
Below are the revenues reported in the Fortune 500 list from What is State Farm’s percentile ranking?
Answer

31. $500
Answer
45th percentile

32. What percent of the scores were between 23 and 38?
$100
What percent of the scores were between 23 and 38?
Answer

33. $100
Answer

34. $200
The histograms show the distribution of passenger traffic during 1995 a the busiest United States and foreign airports. There are twenty airports in each group. Each interval includes the left endpoint, but not the right. In which interval does the first quartile for foreign airports lie?
Answer

35. $200
Answer

36. $300
Which numbers in the five-number summary for 1995 exceed their counterparts for 1996?
Answer

37. $300
Answer
Min, Q1

38. $400
Consider the distribution of income for households in area code for Complete the relative frequency table.
Income by Household
Number of Households
Relative Frequency
$0-20,000
11,654
$20,000-40,000
8,890
$40,000-60,000
5,973
$60,000-75,000
2,977
$75, ,000
2,536
Over 100,000
3,144
Answer

39. $400
Answer
Income by Household
Number of Households
Relative Frequency
$0-20,000
11,654
33.1%
$20,000-40,000
8,890
25.3%
$40,000-60,000
5,973
17.0%
$60,000-75,000
2,977
8.5%
$75, ,000
2,536
7.2%
Over 100,000
3,144
8.9%

40. Rita’s Tuition Expenses
$500
Over the past seven years, Rita has been investing in an undergraduate and graduate education. Her tuition expenses are listed. Compute her cumulative expenses for the last seven years.
Rita’s Tuition Expenses
Cumulative Expenses
$4,000
$4,600
$4,750
$4,500
$6,200
$6,800
$6,500
Answer

41. Rita’s Tuition Expenses
$500
Answer
Rita’s Tuition Expenses
Cumulative Expenses
$4,000
$4,600
$8,600
$4,750
$13,350
$4,500
$17,850
$6,200
$24,050
$6,800
$30,850
$6,500
$37,350

42. $100
A producer’s daily output is 1,250 quarts of ice cream. An inspector selects six of these quarts and measures the butterfat content of a 4-oz scoop of ice cream from each Identify the following: population ___________ sample _____________ variable _____________
Answer

43. $100
Answer
population: 1,250 quarts of ice cream sample: six quarts of sample ice cream variable: the butterfat content of a quart of ice cream

44. $200
The table shows the distribution of 150 hostels affiliated with Hostelling International – American Youth Hostels among the fifty states. What is the percentile ranking of the state with eleven hostels?
Answer

45. $200
Answer
96th percentile

46. $300
Jack and Jill each tossed a standard six-sided die the same number of times. Each time they recorded the number tossed. What is the difference in the median number that Jack tossed compared to the mean number Jill tossed?
Answer

47. $300
Answer

48. Give the five-number summary for the data below.
$400
Give the five-number summary for the data below.
Answer

49. $400
Answer
Min = 61 Q1 = 72 Med = 73 Q3 = 81 Max = 93

50. $500
True or False. You can determine the median from a boxplot, histogram and stem-and-leaf plot.
Answer

51. $500
Answer