AP Statistics - Final Exam Study Guide
(V.2) Questions And Answers
/. 1. The histogram summarizes the responses of 100 people when asked,"What was
the price of the last meal you purchased?"
Based on the histogram, which of the following could be the interquartile range of the
prices?
A) $40
B) $21
C) $10
D) $5
E) $3 - Answer-✅D) $5
/.2. Suppose a certain scale is not calibrated correctly, and as a result, the mass of any
object is displayed as 0.75 kilogram less that its actual mass. What is the correlation
between the actual masses of a set of objects and the respective masses of the same
set of objects displaced by the scale?
A) -1
B) -0.75
C) 0
D) 0.75
E) 1 - Answer-✅E) 1
/.3. A veterinarian collected data on the weights of 1,000 cats and dogs treated at a
veterinary clinic. The weight of each animal was classified as either healthy,
underweight, or overweight. The data are summarized in the table.
Based on the data in the table, which of the following is the appropriate type of graph to
visually show whether a relationship exists between the type of animal and the weight
classification.
A) Back-to-back stemplots
B) Scatterplot
C) Side-by-side boxplots
D) Segmented bar chart
E) Dotplot - Answer-✅D) Segmented bar chart
/.4. A program exists to encourage more middle school students to major in math and
science when they go to college. The organizers of the program want to estimate the
, proportion of students who, after completing the program, go on to major in math or
science in college. The organizers will select a sample of students from a list of all
students who completed the program. Which of the following sampling method
describes a stratified random sample?
A) Select all female students on the list.
B) Randomly select 50 students on the list.
C) Randomize the names on the list and then select every tenth student on the
randomized list.
D) Randomly select 25 names from the female students on the list and 25 names from
the male students on the list.
E) Randomly select 50 students on the list who are attending college. -
/.5. The normal curve shown represents the sampling distribution of a sample mean for
a sample size n=25, selected at random from a population with a standard deviation Ox.
Which of the following is the best estimate of the standard deviation of the population,
Ox?
A) 3
B) 6
C) 15
D) 30
E) 75 - Answer-✅E) 75
/.6. Two random samples, A and B, were selected from the same population to estimate
the population mean. For each sample, the mean, standard deviation, and margin of
error for a 95 percent confidence interval for the population mean are show in the table.
Which of the following could explain why the margin of error of sample A is greater than
the margin of error of Sample B?
A) The sample size of A is greater than the sample size of B.
B) The sample size of A is less than the sample size of B.
C) The sample size of A is equal to the sample size of B.
D) The mean of sample A is greater than the mean of sample B.
E) The standard deviation of sample A is less than the standard deviation of sample B. -
Answer-✅B) The sample size of A is less than the sample size of B.
/.7. Nyasha's financial literacy project involved comparing the annual sales of
companies in Canada and companies in the US that produce software. Using the ratio
of 1 CAD to 0.75 USD, she converted all annual sales from the Canadian companies
into United States dollars. For which of the following will the value of statistics for the
annual sales in Canadian dollars be equal to the value of the corresponding statistic in
US dollars?
(V.2) Questions And Answers
/. 1. The histogram summarizes the responses of 100 people when asked,"What was
the price of the last meal you purchased?"
Based on the histogram, which of the following could be the interquartile range of the
prices?
A) $40
B) $21
C) $10
D) $5
E) $3 - Answer-✅D) $5
/.2. Suppose a certain scale is not calibrated correctly, and as a result, the mass of any
object is displayed as 0.75 kilogram less that its actual mass. What is the correlation
between the actual masses of a set of objects and the respective masses of the same
set of objects displaced by the scale?
A) -1
B) -0.75
C) 0
D) 0.75
E) 1 - Answer-✅E) 1
/.3. A veterinarian collected data on the weights of 1,000 cats and dogs treated at a
veterinary clinic. The weight of each animal was classified as either healthy,
underweight, or overweight. The data are summarized in the table.
Based on the data in the table, which of the following is the appropriate type of graph to
visually show whether a relationship exists between the type of animal and the weight
classification.
A) Back-to-back stemplots
B) Scatterplot
C) Side-by-side boxplots
D) Segmented bar chart
E) Dotplot - Answer-✅D) Segmented bar chart
/.4. A program exists to encourage more middle school students to major in math and
science when they go to college. The organizers of the program want to estimate the
, proportion of students who, after completing the program, go on to major in math or
science in college. The organizers will select a sample of students from a list of all
students who completed the program. Which of the following sampling method
describes a stratified random sample?
A) Select all female students on the list.
B) Randomly select 50 students on the list.
C) Randomize the names on the list and then select every tenth student on the
randomized list.
D) Randomly select 25 names from the female students on the list and 25 names from
the male students on the list.
E) Randomly select 50 students on the list who are attending college. -
/.5. The normal curve shown represents the sampling distribution of a sample mean for
a sample size n=25, selected at random from a population with a standard deviation Ox.
Which of the following is the best estimate of the standard deviation of the population,
Ox?
A) 3
B) 6
C) 15
D) 30
E) 75 - Answer-✅E) 75
/.6. Two random samples, A and B, were selected from the same population to estimate
the population mean. For each sample, the mean, standard deviation, and margin of
error for a 95 percent confidence interval for the population mean are show in the table.
Which of the following could explain why the margin of error of sample A is greater than
the margin of error of Sample B?
A) The sample size of A is greater than the sample size of B.
B) The sample size of A is less than the sample size of B.
C) The sample size of A is equal to the sample size of B.
D) The mean of sample A is greater than the mean of sample B.
E) The standard deviation of sample A is less than the standard deviation of sample B. -
Answer-✅B) The sample size of A is less than the sample size of B.
/.7. Nyasha's financial literacy project involved comparing the annual sales of
companies in Canada and companies in the US that produce software. Using the ratio
of 1 CAD to 0.75 USD, she converted all annual sales from the Canadian companies
into United States dollars. For which of the following will the value of statistics for the
annual sales in Canadian dollars be equal to the value of the corresponding statistic in
US dollars?
