AP Statistics
8/31/00
Coley / P. Myers / Wylder
Test #1 (Chapter 1)
Name __________________________________________________________
Part I - Multiple Choice (Questions 1-10) - Circle the answer of your choice.
1.
Ms. Myers’ precalculus class had a standard deviation of 2.4 on a trigonometry test, while Ms. Gentry's precalculus had a standard
deviation of 1.2 on the same test. What can be said about these two classes?
(a)
(b)
(c)
(d)
(e)
Ms. Myers’ class is more homogeneous than Ms. Gentry's class.
Ms. Gentry's class is more homogeneous than Ms. Myers’ class.
Ms. Gentry's class did less well on the test than Ms. Myers’ class.
Ms. Myers’ class performed twice as well on the test as Ms. Gentry’s class.
Ms. Myers’ class performed 1.2 points better on the test as Ms. Gentry’s class.
2.
The following is the DataDesk statistical summary of thegold medal performance
in the men's long jump (measured in inches) for the modern Olympic series starting in
1900. Approximately what percent of the data lie between 298 and 334.64?
(a)
(b)
(c)
(d)
(e)
25%
33%
50%
67%
75%
3.
Weights of seals are given in the following histogram.
For this data, which values are appropriate estimates of
the data’s mean and standard deviation?
(a)
(b)
(c)
(d)
(e)
100, 50
100, 100
200, 50
200, 100
300, 50
4.
A data set with seven data points has a mean of 5. One of the seven values in the data set is 8. What numerical contribution did
the data point 8 make to the variance?
(a)
(b)
(c)
(d)
(e)
1.25
1.50
1.75
2.00
2.25
5.
In a frequency distribution of 3000 scores, the mean is 78 and the median as 95. One would expect this distribution to be:
(a)
(b)
(c)
(d)
(e)
skewed to the right
skewed to the left
symmetrical and mound-shaped
symmetrical and uniform
bimodal
6.
A study was conducted on the weights of three different species of fish
found in a lake in Finland. These three fish (bream, perch and roach) are
commercial fish. Their weights are displayed in the boxplots below. Which
of the following statements comparing these boxplots is NOT correct?
(a) The median weights of the three species differ.
(b) The spread of roach is less than the spread of the other two species.
(c) The distributions of weights are approximately symmetric for all three
species.
(d) There are no outliers in weight for the three species.
(e) The variability in the weights for the three species exceeds the variation in
the three species’ means.
7.
The mean age of 12 of the members attending a mathematics department
faculty meeting is 37. Mr. Myers, who is 50, arrives late. What is the average of all 13 members?
(a)
(b)
(c)
(d)
(e)
37
38
39
40
41
8.
Which of the following are true statements?
I.
II.
III.
The standard deviation is the square root of the variance.
The standard deviation is zero only when all values are the same.
The standard deviation is strongly affected by outliers.
(a)
(b)
(c)
(d)
(e)
I and II
I and III
II and III
I, II, and III
None of the above gives the complete set of true responses.
9.
The stemplot displays the 1988 per capita income (in hundreds of dollars)
of the 50 states. Which of the following best describes the data?
(a)
(b)
(c)
(d)
(e)
Skewed distribution, mean greater than median
Skewed distribution, median greater than mean
Symmetric distribution, mean greater than median
Symmetric distribution, median greater than mean
Symmetric distribution with outliers on high end
10. In order to rate TV shows, phone surveys are sometimes used. Such a survey might record several variables, some of which are
listed below. Which of these variables are categorical?
I.
II.
III.
IV.
V.
(a)
(b)
(c)
(d)
(e)
The type of show being watched
The number of persons watching the show
The ages of persons watching the show
The name of the show being watched
The number of times the show has been watched in the last month
II, III, and V
I only
I and V
I and IV
None of the above describes the complete set of correct responses
Part II – Free Response (Questions 11-14) – Show your work and explain your results clearly.
11. Is it easier for the best National Basketball Association (NBA) players to get a rebound or an assist? The data was taken during
the 1994-1995 season.
The top 20 rebounding leaders averaged the following numbers of rebounds per game:
16.8 (Rodman), 12.6, 11.4, 11.1, 11.0, 10.9, 10.9, 10.9, 10.8, 10.8, 10.6, 10.6, 10.6, 10.4, 10.3, 9.9, 9.7, 9.7, 9.6, and 9.4
The top 20 assist leaders averaged the following number of assists per game:
12.3 (Stockton), 9.4, 9.3, 8.8, 8.7, 8.3, 8.2, 7.9, 7.7, 7.7, 7.6, 7.5, 7.3, 7.2, 7.1, 6.9, 6.4, 6.2, 6.1, and 5.7


Compare these data using back-to-back stemplots.
Comment and shape and outliers.
12. The histogram displays the number of children in a set of
Woodward Academy families.
14
How many families are represented in this study?
Determine the mean, median, mode, standard deviation, IQR,
and range of the data and comment on the most appropriate
measures to report and the shape of the data.
12
Frequency


16
10
8
6
4
2
1
2
3
4
5
6
Children
7
8
9
10
13. Determine, with explanation, which values (if any) in the following dataset of test scores are outliers.
52, 75, 79, 83, 98, 86, 74, 77, 80, 99, 83, 85, 72, 46, 84
14. Five hundred randomly selected middle-aged men and five hundred randomly selected young adult men were rated on a scale from
1 to 10 on their physical flexibility, with 10 being the most flexible. Their ratings appear in the frequency table below. For
example, 17 middle-aged men had a flexibility rating of 1.
Physical Flexibility Rating
1
2
3
4
5
6
7
8
9
10
Frequency of Middle-Aged Men
17
31
49
71
70
87
78
54
34
9
Frequency of Young Adult Men
4
17
29
39
54
69
83
93
73
39
(a) Display these data graphically so that the flexibility of middle-aged men and young adult men can be easily compared.
(b) Based on an examination of your graphical display, write a few sentences comparing the flexibility of middle-aged men with the
flexibility of young adult men.