wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

AP Statistics Review

Total questions: 66

Worksheet time: 3hrs 18mins

Name
Class
Date
1.

The weight of adult male grizzly bears living in the wild in the continental United States is approximately normally distributed with a mean of 500 pounds and a standard deviation of 50 pounds. The weight of adult female grizzly bears is approximately normally distributed with a mean of 300 pounds and a standard deviation of 40 pounds. Approximately, what would be the weight of a female grizzly bear with the same standardized score (z-score) as a male grizzly bear with a weight of 530 pounds?

a)

276 pounds

b)

324 pounds

c)

330 pounds

d)

340 pounds

e)

530 pounds

2.

The commuting time for a student to travel from home to a college campus is normally distributed with a mean of 30 minutes and a standard deviation of 5 minutes. If the student leaves home at 8:25 am, what is the probability that the student will arrive at the college campus later than 9 am?

a)

0.16

b)

0.32

c)

0.50

d)

0.84

e)

1.00

3.

The boxplots shown summarize two data sets, I and II. Based on the boxplots, which of the following statements about these two data sets CANNOT be justified?

a)

The range of data set I is equal to the range of data set II

b)

The interquartile range of data set I is equal to the interquartile range of data set II

c)

The median of data set I is less than the median of data set II

d)

Data set I and data set II have the same number of data points

e)

About 75% of the values in data set II are greater than or equal to about 50% of the values in data set I.

4.

The least squares regression line was fitted to the weights (in pounds) versus age (in months) of a group of many young children. The equation of the line is shown on the left, where y-hat is the predicted weight and t is the age of the child.  A 20-month old child in this group has an actual weight of 25 pounds.  Which of the following is the residual weight, in  pounds, for this child?

a)

-7.85

b)

-4.60

c)

4.60

d)

5.00

e)

7.85

5.

Of the following dotplots, which represents the set of data that has the greatest standard deviation?

a)
b)
c)
d)
e)
6.

The histogram to the left shows the number of minutes needed by 45 students to finish playing a computer game. Which of the following statements is correct?

a)

The distribution is skewed to the right.

b)

The distribution is skewed to the left.

c)

The distribution appears to be normal.

d)

The distribution appears to be chi-square.

e)

The distribution appears to be uniform.

7.

A complex electronic device contains three components, A, B, C. The probabilities of failure for each component in one year are 0.01, 0.03, 0.04, respectively. If any one component fails, the device will fail. If the components fail independently of one another, what is the probability that the device will NOT fail in one year?

a)

Less than 0.01

b)

0.078

c)

0.080

d)

0.922

e)

Greater than 0.99

8.

The histogram pictured here displays the frequencies of waiting times, in minutes, for 175 patients in a dentist's office.

Which of the following could be the median of the waiting times, in minutes?

a)

2.50

b)

7.25

c)

12.25

d)

15.00

e)

17.50

9.
What is the inter-quartile range for these data?
a)
3
b)
4
c)
5
d)
6
10.
a)
I
b)
II
c)
III
d)
I, II, and III
11.
a)
More females use social networking sites.
b)
In general, females use the sites more often than males.
c)
Approximately the same number of males and females were surveyed.
d)
About 43% of all students surveyed said they used social networking sites on a weekly basis.
12.
a)
The slope decreased and the r2 increased.
b)
The slope increased and the r2 decreased.
c)
The slope decreased but r2 remained the same.
d)
Both slope and r2 remained the same.
13.
What's the appropriate interpretation of the slope of the regression line?
a)
For every additional 0.61 hours of growth, the culture is predicted to weight 1 more gram.
b)
For every additional hour of growth, the culture is predicted to weigh 0.61 more grams.
c)
For every additional hour of growth, the logarithm of the culture's weight in grams is predicted to increase by 0.61.
d)
At the beginning of the experiment, the logarithm of the culture's weight in grams was approximately 0.61 ounces.
14.

Which of the following is the best estimate of the standard deviation of the distribution in the figure?

a)

18

b)

9

c)

54

d)

97

e)

106

15.

A company wanted to determine the child care costs of its employees. A sample of 25 employees were interviewed and their child care expenses for the previous year were determined. Later, the company discovered that the highest expense in the sample was mistakenly recorded as 5 times the actual amount. However, after correcting the error, the correct amount was still greater than or equal to any other expense in the sample. Which of the following sample statistics must have remained the same after the correction was made?

a)

standard deviation

b)

mean

c)

mode

d)

range

e)

median

16.

A company determines the mean and standard deviation of the employees' salaries in one year. What is the best description of the standard deviation?

a)

Approximately the median distance between the individual salaries of employees and the mean of every employee's salary.

b)

The amount of money separating the highest salary from the lowest salary when considering the middle 50% of the distribution.

c)

The amount of money separating the highest salary from the lowest salary when considering all employees.

d)

The distance between the salary of an employee and the mean salary of all the employees.

e)

Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries.

17.

The equation of the LSRL for the points on a scatterplot is ŷ = 5.3-0.23x. What is the residual for the point (5, 4)?

a)

-0.15

b)

0.15

c)

1

d)

0.62

e)

0.85

18.

The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Bella is at the 87th percentile in height for adult women, then her height, in inches, is closest to

a)

63

b)

67

c)

66

d)

72

e)

70

19.

To check the effect of hot temperatures on the elasticity of two brands of rubber bands, one box of Brand A and one box of Brand B rubber bands are tested. Ten bands from the Brand A box are placed in a warm car in the sun for two hours and ten bands from the Brand B box are kept at room temperature. The amount of stretch before the breakage is measured on each rubber band, and the mean for the hot bands is compared to the mean for the others. Is this a good experimental design?

a)

No, because the means are not proper statistics for comparison.

b)

No, because more than two brands should be used.

c)

No, because more temperatures should be used.

d)

No, because temperature is confounded with brand.

e)

Yes

20.

Andrea's doctor told her that the standardized score (z-score) for her systolic blood pressure, as compared to the blood pressure of other women her age, is 1.75. Which of the following is the best interpretation of this standardized score?

a)

Andrea's systolic blood pressure is 175.

b)

Andrea's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure of women her age.

c)

Andrea's systolic blood pressure is 1.75 above the average systolic blood pressure of women her age

d)

Only 1.75% of women Andrea's age have a higher systolic blood pressure than she does.

e)

Andrea's systolic blood pressure is 1.75 times the average systolic blood pressure of women her age.

21.

The graph shows the distribution of scores of 30 students on a mathematics test. Based on the histogram, which statement must be true?

a)

The lowest test score is 41%.

b)

The highest test score is 100%.

c)

The mean test score is between 81% and 90%.

d)

The median test score is not greater than 80%.

e)

The lower quartile of the test scores is greater than 60%.

22.

At a college the scores on the Spanish final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the Humanities final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the Spanish final and 84 on the Humanities final. Relative to the students in each respective class, in which subject did this student do better?

a)

The student did better in Spanish.

b)

The student did better in Humanities.

c)

There is no basis for comparison, since the subjects are different from each other and are in different departments.

d)

The student did equally well in each course.

e)

There is not enough information for comparison.

23.

In a certain school, students can choose whether to eat in the school’s cafeteria. A reporter working for the school’s newspaper polled students on their reactions to changes in the menu at the cafeteria. For each student leaving the cafeteria in one 20-minute time period, the reporter used a die to determine whether to stop the student and ask how he or she felt about the new menu. In the reporter’s article it was stated that a random sample of the students showed that 23% of the school’s student population was happy with the new menu. Which of the following statements is true?

a)

Because each student leaving the cafeteria was randomly selected and could choose to answer or not, this is a random sample of the student population, and the 23% is an accurate measurement of the school population’s view of the new menu.

b)

Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.

c)

The survey would have been more effective if the reporter had collected the data in one 10-minute time period rather than in one 20-minute time period.

d)

The survey would have been more effective if students who cared about the food could have called the reporter to tell how they felt about the new menu, so that only students with opinions on the subject would have been surveyed.

e)

Because no treatment was imposed on the students eating in the cafeteria, one cannot make any conclusions about the new menu.

24.

The student government at a high school wants to conduct a survey of student opinion. It wants to begin with a simple random sample of 80 students. Which of the following survey methods will produce a simple random sample?

a)

Survey the first 80 students to arrive at school in the morning

b)

Survey every 5th student entering the school library until 80 students are surveyed.

c)

Use random numbers to choose 20 each of first-year, second-year, third-year, and fourth-year students.

d)

Number the students in the official school roster. Use a table of random numbers to choose 80 students from this roster for the survey.

e)

Number the cafeteria seats. Use a table of random numbers to choose seats and interview the students until 80 have been interviewed.

25.

The segmented bar charts below depict the data from the NAAL (National Assessment of Adult Literacy) conducted in 2003. Based on the graph, which statement must be true.

a)

The prose literacy level with the greatest percentage of people who volunteered once per week or more was below basic.

b)

For people with proficient prose literacy level, the number who volunteered once per week or more was greater than the number who volunteered less than once per week.

c)

Intermediate and proficient prose level had the same number of students who volunteered less than once per week.

d)

Of all the students that never volunteered, the greatest number were in the below basic level of prose literacy.

e)

For students who had basic prose literacy level, the number who volunteered less than once per week was greater than those who never volunteered.

26.

A cosmetics supplier ships boxes of highlighter to individual customers. The distribution of weights of shipped boxes is approximately normal with mean 5 pounds and standard deviation 1.2 pounds. Which expression represents the weight, in pounds, at the 75th percentile of the distribution?

a)

-1.96(1.2) + 5

b)

-0.25(1.2) + 5

c)

0.25(1.2) + 5

d)

0.67(1.2) + 5

e)

0.75(1.2) + 5

27.

The boxplots summarize two data sets, 1 and 2. Which of the following must be true?

I. Class #2 contains more data than Class #1.

II. The box of Class #2 contains more data than the box of Class #1.

III. The data in Class #1 has a smaller range than the data in Class #2.

a)

I only

b)

I and III only

c)

I and II only

d)

I, II, and III

e)

III only

28.

What can be used to show a cause-and-effect relationship between two variables?

a)

A controlled experiment

b)

A census

c)

An observational study

d)

A cross-sectional study

e)

A sample survey

29.

Use the table to answer the following question. Of the male subjects in the study, what fraction drive a sports car?

a)

39/84

b)

39/240

c)

39/60

d)

60/240

e)

84/240

30.
A dealer in Las Vegas selects 10 cards from a standard deck of 52 cards.  Let Y be the number of diamonds in the 10 cards selected.  Which of the following best describes this setting?
a)
Y has a binomial distribution with n = 10 observations and probability of success p = 0.25.
b)
Y has a binomial distribution with n = 10 observations and probability of success p = 0.25, provided the deck is shuffled well.
c)
Y is a binomial distribution with n = 10 observations and probability of success p = 0.25, provided that after selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.
d)
Y has a geometric distribution with n = 10 observations and probability of success p = 0.25
31.
The standardized test scores of 16 students have mean x̄ = 200 and standard deviation s = 20.  What is the standard error of x̄?
a)
20
b)
10
c)
5
d)
1.25
32.
After a college's football team once again lost a football game to the college's arch rival, the alumni association decided to conduct a survey to see if alumni were in favor of firing the coach.  Let p represent the proportion of all living alumni who favor firing the coach.  Which of the following is the smallest sample size needed to guarantee an estimate that's within 0.05 of p at a 95% confidence level?
a)
269
b)
385
c)
538
d)
768
33.
A Type II error is
a)
rejecting the null hypothesis when it is true.
b)
failing to reject the null hypothesis when it is false.
c)
rejecting the null hypothesis when it is false.
d)
failing to reject the null hypothesis when it is true.
34.
A claimed psychic was presented with 200 cards face down and asked to determine if the card was one of five symbols: a star, cross, circle, square, or three wavy lines.  The "psychic" was correct in 50 cases.  To determine if he has ESP, we test the hypothesis H₀:  p = 0.20, Hₐ: p > 0.20, where p represents the true proportion of cards for which the psychic would correctly identify the symbol in the long run.  Assume the conditions for inference are met.  The P-value is 
a)
between .10 and .05
b)
between .05 and .025
c)
between .025 and .01
d)
between .01 and .001
35.
A medical researcher wishes to investigate the effectiveness of exercise versus diet in losing weight.  Two groups of 25 overweight adult subjects are used, with a subject in each group matched to a similar subject in the other group on the basis of a number of physiological variables.  One of the groups is placed on a regular program of vigorous exercise but with no restriction on diet, and the other is placed on a strict diet but with no requirement to exercise.  The weight losses after 20 weeks are determined for each subject, and the difference between matched pairs of subjects (weight loss of subject in exercise group - weight loss of matched subject in diet group) is computed.  The mean of these differences in weight loss is found to be 2 lb with standard deviation sₓ = 4 lb.  Is this convincing evidence of a difference in mean weight loss for the two methods?  To answer this question, you should use
a)
one-proportion z test
b)
one-sample z interval for μₓ
c)
one-proportion z interval
d)
one-sample t test for μₓ
36.
An SRS of 100 teachers showed that 64 owned smartphones.  An SRS of 100 students showed that 80 owned smartphones.  Let pₑ be the proportion of all teachers who own smartphones, and let pₓ be the proportion of all students who own smartphones.  A 95% confidence interval for the difference pₑ - pₓ is 
a)
(0.264, 0.056)
b)
(0.098, 0.222)
c)
(-0.222, -0.098)
d)
(-0.283, -0.038)
37.
If P(A) = 0.24 and P(B) = 0.52 and A and B are independent, what is P(A or B)?
a)
0.1248
b)
0.28
c)
0.6352
d)
0.76
38.
If P(A) = 0.24 and P(B) = 0.52 and A and B are independent, what is P(A or B)?
a)
0.1248
b)
0.28
c)
0.6352
d)
0.76
39.
The histogram shows the typical travel time to school (self-reported) for 50 high school students. Which of the following statements is true about the mean and median of this distribution?
a)
Mean > Median
b)
Mean < Median
c)
Mean = Median
d)
Mean ≈ Median
40.
According to the 1.5 x IQR rule, how many outliers are there in the data set 72, 110, 114, 115, 118, 123, 144, 156?
a)
None
b)
One
c)
Two
d)
Three
41.
The probability that an event does NOT occur is
a)
highly unlikely
b)
1 - the probability that it does occur
c)
a matter of opinion
d)
always less than the probability that it does occur
42.
If two events are mutually exclusive, the probability that they both occur is
a)
1
b)
0
c)
0.5
d)
impossible to determine
43.
Which of the following statements about the slope of the least-squares regression line is true? 
a)
It has the same sign as the correlation coefficient r.
b)
The square of the slope equals the proportion of the variation in the response variable that is explained by the explanatory variable.
c)
It is unitless.
d)
When the x-variable is 0, this is what the y-variable is predicted to be.
44.
A study showed that students who spend more time studying for statistics tests tend to achieve better scores on their tests. In fact, the number of hours studied turned out to explain 81% of the observed variation in test scores among the students who participated in the study. What is the value of the correlation between number of hours studied and test score? 
a)
r = 0.81
b)
r = 0.656
c)
r = 0.9
d)
There is no way to know.
45.
Tests in Mr. Jones class have a mean score of 73 and standard deviation of 6 points. Mark scored a 68 on the test. What is his z-score?
a)
0.83
b)
5
c)
-0.83
d)
-5
46.

Which is the symbol for sample mean?

a)

x̄

b)

μ

c)

n

d)

Σ

47.
What is an outlier?
a)
A data point that cannot be explained
b)
A data point that is normal
c)
A data point that does not fit the overall pattern
d)
A data point that has eaten too much ice cream
48.

How is the data distributed in this histogram?

a)

Symmetrically

b)

Skewed Right

c)

Skewed Left

49.

You have a mean of 56 and a standard deviation of 4.3. What is +2 standard deviations from the mean?

a)

60.3

b)

47.4

c)

51.7

d)

64.6

50.
What is the Q3 of this data set?
6, 7, 2, 1, 5, 2, 1, 6
a)
5
b)
6
c)
5.5
d)
6.5
51.
Which of the following lists all parts of the five number summary?
a)
Mean, Median, Mode, Range, and Total
b)
Minimum, Quartile 1, Median, Quartile 3, and Maximum 
c)
Smallest, Q1, Q2, Q3, and Q4
d)
Minimum, Maximum, Range, Mean, and Median
52.

To select a cluster sample, divide a population into groups, then select all the members in some of the groups.

a)

True

b)

False

53.
Here is the dot plot of voter turnout (as a percentage of voting-age population) for the 50 states—plus the District of Columbia—in a recent presidential election. Which of the following best describes this distribution?
a)
The distribution of voter turnout is skewed slightly left, centered at about 62%, with a range of 24%.
b)
The distribution of voter turnout is roughly symmetric, centered at about 60%, with a range of 30%.
c)
The distribution of voter turnout is skewed slightly right, centered at about 62%, with a range of 24%.
d)
The distribution of voter turnout is bimodal, centered at about 60%, with a range of 30%.
54.

Frannie and Fiona collect data comparing students' GPA and how many hours per week they spend doing extracurricular activities. This is best described as a(n)

a)

observational study

b)

matched pairs design

c)

experiment

d)

survey

55.

Joe Mama wants to do an observational study comparing height and weight. He also does a study comparing weight and calories consumed daily. He concludes that the more calories you consume, the more you weigh. And people who weigh more are generally taller. Therefore, if you eat more, you will get taller. Why is this incorrect?

a)

Causation from one observational study cannot be extrapolated and applied to another

b)

Correlation does not indicate causation

c)

He is ignoring the lurking variable of age

d)

He did not have a control group

56.
The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  What is the z-score for a temperature of 17 degrees?  
a)
1 
b)
1.43
c)
-1.43
d)
11.5
57.
Every possible group of units of the required size has the same chance of being the selected sample as any other sample of the same size.
a)
Simple Random 
b)
Thoughtful
c)
Typical
d)
Proportional
58.
This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample.
a)
stratified
b)
cluster
c)
judgment
d)
experimental
59.
At a California college, 19% of the students speak Spanish, 7% speak French, and 4% speak both languages.  A student is chosen at random from the college.  What is the probability that the student speaks Spanish if she speaks French?
a)
0.220
b)
0.211
c)
0.040
d)
0.571
60.
A sociologist studying the relationship between early childhood nutrition and academic achievement in middle school among children in a certain city finds that the correlation between these two variables is 0.86. Which of the following conclusions can he draw from this study?
a)
Ensuring good nutrition in early childhood will increase academic achievement for middle school students.
b)
Children in this city who have a healthy diet in early childhood tend to do better in middle school.
c)
Since the correlation is so low, no conclusions can be drawn.
61.
Which of the following statements about the slope of the least-squares regression line is true? 
a)
It has the same sign as the correlation coefficient r.
b)
The square of the slope equals the proportion of the variation in the response variable that is explained by the explanatory variable.
c)
It is unitless.
d)
When the x-variable is 0, this is what the y-variable is predicted to be.
62.
One of the following is a correct statement involving correlation. The other three contain blunders. Which one is correct? 
a)
The correlation between the gas mileage of a car and its weight is r = -0.71 gallon-pounds.
b)
The correlation between GPA and hours of sleep per night is r = 1.06.
c)
There is a correlation of r = 0.54 between the position a football player plays and his or her weight.
d)
The correlation between amount of fertilizer and pounds of tomatoes harvested was found to be r = 0.33.
63.
A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.
a)
y = 61.93x - 1.79
b)
y = -1.79x + 61.93
c)
y = 0.016x + 0.03
d)
y = 0.03x + 0.016
64.
The linear regression equation is y = 61.93x - 1.79.  According to the equation, the y-intercept can be interpreted as:
a)
After 0 hours of driving, they went -1.79 miles.
b)
They are driving -1.79 miles per hour.
c)
They drove 1.79 miles total.
d)
They drive 1.79 hours total.
65.

How many students scored 40% or below on the test?

a)

21

b)

22

c)

20

d)

15

66.
What is the Interquartile Range?
a)
28 cm
b)
12 cm
c)
33 cm
d)
5 cm

Similar Resources on Wayground

Central Tendency and Standard Deviation

63 questions

Central Tendency and Standard Deviation

quiz

Worksheet

•

11th - 12th Grade

Geometry Final Exam Review

68 questions

Geometry Final Exam Review

quiz

Worksheet

•

9th - 12th Grade

Geometry Midterm Review

69 questions

Geometry Midterm Review

quiz

Worksheet

•

9th - 12th Grade

AKM NUMERASI KELAS 5

63 questions

AKM NUMERASI KELAS 5

quiz

Worksheet

•

4th - 12th Grade

Prova Matemática

69 questions

Prova Matemática

quiz

Worksheet

•

12th Grade

Interim Worksheet

70 questions

Interim Worksheet

quiz

Worksheet

•

9th - 12th Grade

Descriptive Statistics

65 questions

Descriptive Statistics

quiz

Worksheet

•

12th Grade

Module 3 Review

65 questions

Module 3 Review

quiz

Worksheet

•

8th - 12th Grade