[PDF] AP Stats Chap 1-5 Practice Test

15534_6PracticeTestChap1_5.pdf

AP Stats

Chap 1-5

Practice Test

Following this cover sheet is the Practice Test for Chapters 1 through 5. Please use it as a study aid in helping you prepare for the real test on this material. As you work through this practice test, pace yourself to ensure that you can manage this number and type of questions in a 90-minute period; the real test will be of a very similar make-up. Note that the multiple-choice section of the practice test is worth half of the overall grade. The remaining 50% of the grade comes from the two sections of free-response questions. This is the same design the real AP Exam follows, and it is the same design we will follow for our class tests in this course. We will be completing several other tasks during the first two weeks of class - there will be little time to review any material from these chapters or to go over this practice test. Best of luck with this practice test. Please let me know if you have any questions.

Mr. Smith

AP Stats Chap 1-5 Practice Test

Name __________________________________________ Pd __________

SECTION I

Number of Questions - 20

Percent of Total Grade - 50

Directions: Solve each of the following problems, using the available space (or extra paper) for scratchwork. Decide which is the best of the choices given and place that letter on the ScanTron

sheet. No credit will be given for anything written on these pages for this part of the test. Do not

spend too much time on any one problem.

1. Which of the following variables about German Shepherds is most likely to be described by a Normal

model? A. breed B. age C. weight D. number of days housed at the SPCA E. veterinary costs

2. The SPCA has kept these data records for the past 20 years. If they want to show the trend in the

number of dogs they have housed, what kind of plot should they make? A. boxplot B. timeplot C. bar graph D. pie chart E. histogram

3. The veterinary bills for the dogs are summarized in the display shown. Estimate the IQR of these

expenses.

A. $50

B. $75

C. $100

D. $150

E. $200

4. Last weekend police ticketed 16 men whose mean speed was 68 miles per hour, and 21 women going

an average of 64 mph. Overall, what was the mean speed of all the people ticketed? A. 69 mph B. 72.4 mph C. 65.7 mph

D. None of these.

E. It cannot be determined.

5. Which is true of the data shown in this histogram?

I. The distribution is skewed to the right. II. The mean is probably smaller than the median. III. We should use the median and IQR to summarize these data. A. I only B. II only

C. III only

D. II and III only

E. I, II, and III

6. If we want to discuss any gaps and clusters in a data set, which of the following should not be chosen

to display the data set? A. histogram B. stem-and-leaf plot C. boxplot D. dotplot E. any of these would work

7. Which of the following is likely to have a mean that is smaller than the median?

A. The salaries of all National Football League players. B. The scores of students (out of 100 points) on a very easy exam in which most get nearly- perfect scores but a few do very poorly. C. The prices of homes in a large city. D. The scores of students (out of 100 points) on a very difficult exam in which most get poor scores but a few do very well. E. Amounts awarded by civil court juries.

8. There are three children in a room, ages three, four, and five. If a four-year-old child enters the room,

the... A. mean age will stay the same but the standard deviation will increase. B. mean age will stay the same but the standard deviation will decrease. C. mean age and standard deviation will stay the same. D. mean age and standard deviation will increase. E. mean age and standard deviation will decrease.

9. The Five-Number Summary for scores on a statistics exam is 11, 35, 61, 70, 79. In all, 380 students

took the test. About how many had scores between 35 and 61? A. 26 B. 76 C. 95 D. 190 E. none of these

10. Which of the following summaries are changes by adding a constant to each data value?

I. the mean II. the median III. the standard deviation A. I only B. III only C. I and II D. I and III E. I, II, and II

11. A medical researcher collects health data on many women in each of several countries. One of the

variables measured for each woman in the study is her weight in pounds. The following list gives the Five-Number Summary for the weights of women in one of these countries: 100, 110, 120, 160, 200
About what percentage of the women in this country weight between 110 and 200 pounds? A. 50% B. 65% C. 75%

D. 85% E. 95%

12. A professor has kept records on grades that students have earned in her class. If she wants to

examine the percentage of students earning the grades of A, B, C, D, and F during the most recent

term, which kind of display could she make? A. boxplot B. timeplot C. dotplot D. pie chart E. histogram

13. Which is true of the data shown in the histogram?

I. The distribution is approximately symmetric. II. The mean and median are approximately equal. III. The median and IQR summarize the data better than the mean and standard deviation. A. I only B. III only C. I and II D. I and III E. I, II, and III

14. Data is collected from 50 students. Which of these variables is most likely to be bimodial?

A. eye color B. head circumference C. hours of homework last week D. number of TV sets at home E. number of sodas drank daily

15. When choosing to display a set of data, we might choose a stem-and-leaf plot rather than a boxplot

because a stem-and-leaf plot I. reveals the shape of the distribution. II. is better for large data sets. III. displays the actual data. A. I only B. II only C. III only D. I and III E. I, II, and III

16. Which is true of the data whose distribution is shown?

I. The distribution is skewed to the right. II. The mean is probably smaller than the median. III. We should summarize with mean and standard deviation. A. I only B. II only C. I and II D. II and III E. I, II, and III

17. Your AP Stats teacher tells you your test score was the 3

rd quartile for the class. Which is true? I. You got 75% on the test. II. You can't really tell what this means without knowing the standard deviation. III. You can't really tell what this means unless the class distribution is nearly Normal. A. none of these B. I only C. II only D. III only E. II and III

18. Environmental researchers have collected rain acidity data for several decades. They want to see if

there is any evidence that attempts to reduce industrial pollution have produced a trend toward less

acidic rainfall. They should display their data in a(n) A. contingency table B. bar graph C. boxplot D. histogram E. timeplot

19. The Five-Number Summary of credit hours for 24 students in a statistics class is:

Which statement is true? A. There are no outliers in the data. B. There is at least one low outlier in the data. C. There is at least one high outlier in the data. D. There are both low and high outliers in the data. E. None of these.

20. Increasing the frequencies in the tails of a distribution will

A. not affect the standard deviation as long as the increases are balanced on each side of the mean. B. not affect the standard deviation. C. increase the standard deviation. D. reduce the standard deviation. E. None of these.

SECTION II

Part A

Questions 21-24

Percent of Section II Grade - 75

Directions: Show all of your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanations.

Repair Bills.

An automobile service shop reported the summary statistics shown for repair bills (in dollars) for their

customers last month.

21. Were any of the bills outliers? Show how you made your decision.

22. After checking out a problem with your car, the service manager gives you an estimate of "only $72."

Is he right to imply that your bill will be unusually low? Explain your position.

Salary Conversions.

You learn that your company is sending you and several other employees to staff a new office in China.

While there, everyone will earn the equivalent of their current salary, converted to Chinese currency at the

rate of 7 yuans per dollar. In addition, everyone will earn a weekly foreign living allowance of 200 yuans.

For example, since you are earning $1000 per week, your weekly salary in China will be 1000 x 7 + 200 =

7200 yuans.

23. Shown are some summary statistics describing the

current salaries of this group being sent overseas.

Fill in the table to show what these statistics

will be for the salaries you all will earn while in China.

Health Insurance.

The World Almanac and Book of Facts 2004 reported the percent of people not covered by health

insurance in the 50 states and Washington, DC, for the year 2002. The percent of people not covered by

health insurance and a histogram of the data are:

24. Is it more appropriate to use the mean and standard

deviation or the median and IQR to describe these data? Explain.

SECTION II

Part B

Question 25

Percent of Section II Grade - 25

Directions: Show all of your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanations.

Did Mr. Starnes Stack His Class?

Mr. Starnes, in addition to his duties as a teacher of AP Stats, also creates students' schedules. The other

AP Statistics teacher suspects that Mr. Starnes may not have assigned students at random to the two

classes. Said less politely, she wonders if Mr. Starnes has loaded his class with brighter students. Instead

of challenging her to a duel, Mr. Starnes decides to allow you, an independent statistical consultant, to

rule on this matter. The two teachers agreed that SAT Math scores and cumulative grade point averages are the best indicators of the students' abilities. Here are the data. McGrail GPA Starnes GPA McGrail SAT Math Starnes SAT Math

2.9 2.9 670 620

2.86 3.3 520 590

2.6 3.98 570 650

3.6 2.9 710 600

3.2 3.2 600 620

2.7 3.5 590 680

3.1 2.8 640 500

3.085 2.9 570 500

3.75 3.95 710 640

3.4 3.1 630 630

3.338 2.85 630 580

3.56 2.9 670 590

3.8 3.245 650 600

3.2 3.0 660 600

3.1 3.0 510 620

2.8580

2.9600

3.2600

25. Did Mr. Starnes stack his class? Give appropriate graphical and numerical evidence to support your

conclusion. Use the reverse side of this paper for your answer.