AP STATS COMPREHENSIVE FINAL TEST
2026 TESTED QUESTIONS GRADED A+
◍ A school principal wanted to investigate student opinion about the
food served in the school cafeteria. The principal
selected at random samples of 50 first-year students, 50 second-year
students, 50 third-year students, and 50 fourthyear
students to complete a questionnaire. Which of the following best
describes the principal's sampling plan?
(A) A stratified random sample
(B) A simple random sample
(C) A cluster sample
(D) A convenience sample
(E) A systematic sample. Answer: A
◍ A candy company produces individually wrapped candies. The
quality control manager for the company believes that
the weight of the candies is approximately normally distributed with
mean 720 milligrams (mg). If the manager's
belief is correct, which of the following intervals of weights will
contain the largest proportion of the candies in the
distribution of weights?
(A) 740 mg to 780 mg
(B) 700 mg to 740 mg
(C) 680 mg to 720 mg
,(D) 660 mg to 700 mg
(E) 620 mg to 660 mg. Answer: B
◍ A graph (not shown) of the selling prices of homes in a certain city
for the month of April reveals that the distribution
is skewed to the left. Which of the following statements is the most
reasonable conclusion about the selling prices
based on the graph?
(A) The mean is greater than the median.
(B) The median is the average of the first quartile and the third
quartile.
(C) There are fewer selling prices between the first quartile and the
median than there are between the median and the
third quartile.
(D) There are more selling prices that are less than the mean than
selling prices that are greater than the mean.
(E) The value of maximum minus third quartile is less than the value
of first quartile minus minimum.. Answer: E
◍ The amount of time required for each of 100 mice to navigate
through a maze was recorded. The histogram below
shows the distribution of times, in seconds, for the 100 mice.
Which of the following values is closest to the standard deviation of
the 100 times?
(A) 2.5 seconds
(B) 10 seconds
, (C) 20 seconds
(D) 50 seconds
(E) 90 seconds. Answer: B
◍ If a probability distribution is symmetric, which of the following
statements must be true?
(A) The distribution is normal.
(B) The distribution is uniform.
(C) The distribution is bimodal.
(D) The mean of the distribution is equal to the median of the
distribution.
(E) The interquartile range of the distribution is equal to the standard
deviation of the distribution. Answer: D
◍ Let X represent the number on the face that lands up when a fair
six-sided number cube is tossed. The expected value
of X is 3.5, and the standard deviation of X is approximately 1.708.
Two fair six-sided number cubes will be tossed,
and the numbers appearing on the faces that land up will be added.
Which of the following values is closest to the
standard deviation of the resulting sum?
(A) 1.708
(B) 1.848
(C) 2.415
(D) 3.416
2026 TESTED QUESTIONS GRADED A+
◍ A school principal wanted to investigate student opinion about the
food served in the school cafeteria. The principal
selected at random samples of 50 first-year students, 50 second-year
students, 50 third-year students, and 50 fourthyear
students to complete a questionnaire. Which of the following best
describes the principal's sampling plan?
(A) A stratified random sample
(B) A simple random sample
(C) A cluster sample
(D) A convenience sample
(E) A systematic sample. Answer: A
◍ A candy company produces individually wrapped candies. The
quality control manager for the company believes that
the weight of the candies is approximately normally distributed with
mean 720 milligrams (mg). If the manager's
belief is correct, which of the following intervals of weights will
contain the largest proportion of the candies in the
distribution of weights?
(A) 740 mg to 780 mg
(B) 700 mg to 740 mg
(C) 680 mg to 720 mg
,(D) 660 mg to 700 mg
(E) 620 mg to 660 mg. Answer: B
◍ A graph (not shown) of the selling prices of homes in a certain city
for the month of April reveals that the distribution
is skewed to the left. Which of the following statements is the most
reasonable conclusion about the selling prices
based on the graph?
(A) The mean is greater than the median.
(B) The median is the average of the first quartile and the third
quartile.
(C) There are fewer selling prices between the first quartile and the
median than there are between the median and the
third quartile.
(D) There are more selling prices that are less than the mean than
selling prices that are greater than the mean.
(E) The value of maximum minus third quartile is less than the value
of first quartile minus minimum.. Answer: E
◍ The amount of time required for each of 100 mice to navigate
through a maze was recorded. The histogram below
shows the distribution of times, in seconds, for the 100 mice.
Which of the following values is closest to the standard deviation of
the 100 times?
(A) 2.5 seconds
(B) 10 seconds
, (C) 20 seconds
(D) 50 seconds
(E) 90 seconds. Answer: B
◍ If a probability distribution is symmetric, which of the following
statements must be true?
(A) The distribution is normal.
(B) The distribution is uniform.
(C) The distribution is bimodal.
(D) The mean of the distribution is equal to the median of the
distribution.
(E) The interquartile range of the distribution is equal to the standard
deviation of the distribution. Answer: D
◍ Let X represent the number on the face that lands up when a fair
six-sided number cube is tossed. The expected value
of X is 3.5, and the standard deviation of X is approximately 1.708.
Two fair six-sided number cubes will be tossed,
and the numbers appearing on the faces that land up will be added.
Which of the following values is closest to the
standard deviation of the resulting sum?
(A) 1.708
(B) 1.848
(C) 2.415
(D) 3.416
