AP Statistics Midterm Exam Questions
And Answers
At a photography contest, entries are scored on a scale from 1 to
100. At a recent contest with 1,000 entries, a score of 68 was at the
77th77th percentile of the distribution of all the scores. Which of
the following is the best description of the 77th77th percentile of
the distribution? -
correct answer There were 770 entries with a score less than or
equal to 68.
At a small coffee shop, the distribution of the number of seconds it
takes for a cashier to process an order is approximately normal with
mean 276 seconds and standard deviation 38 seconds. Which of
the following is closest to the proportion of orders that are
processed in less than 240 seconds? -
correct answer 0.17
At a college the scores on the chemistry final exam are
approximately normally distributed, with a mean of 75 and a
standard deviation of 12. The scores on the calculus final are also
approximately normally distributed, with a mean of 80 and a
standard deviation of 8. A student scored 81 on the chemistry final
and 84 on the calculus final. Relative to the students in each
respective class, in which subject did this student do better? -
correct answer The student did equally well in each course.
,AP Statistics Midterm Exam Questions
And Answers
Shalise competed in a jigsaw puzzle competition where participants
are timed on how long they take to complete puzzles of various
sizes. Shalise completed a small puzzle in 75 minutes and a large
jigsaw puzzle in 140 minutes. For all participants, the distribution of
completion time for the small puzzle was approximately normal
with mean 60 minutes and standard deviation 15 minutes. The
distribution of completion time for the large puzzle was
approximately normal with mean 180 minutes and standard
deviation 40 minutes.
Approximately what percent of the participants had finishing times
greater than Shalise's for each puzzle? -
correct answer 16% on the small puzzle and 84% on the large
puzzle
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
A.M., what is the probability that the student will arrive at the
college campus later than 9 A.M.? -
correct answer 0.16
, AP Statistics Midterm Exam Questions
And Answers
The heights of adult women are approximately normally distributed
about a mean of 65 inches with a standard deviation of 2 inches. If
Rachael is at the 99th percentile in height for adult women, then
her height, in inches, is closest to -
correct answer 70
The distribution of lengths of salmon from a certain river is
approximately normal with standard deviation 3.5 inches. If 10
percent of salmon are longer than 30 inches, which of the following
is closest to the mean of the distribution? -
correct answer 26 inches
Which of the following is the best estimate of the standard
deviation of the distribution shown in the figure above? (30, 40, 50,
60, 70) -
correct answer 10
A recent survey indicated that the mean time spent on a music
streaming service is 210 minutes per week for the population of a
certain country. A simulation was conducted to create a sampling
distribution of the sample mean for a population with a mean of
210. The following histogram shows the results of the simulation.
And Answers
At a photography contest, entries are scored on a scale from 1 to
100. At a recent contest with 1,000 entries, a score of 68 was at the
77th77th percentile of the distribution of all the scores. Which of
the following is the best description of the 77th77th percentile of
the distribution? -
correct answer There were 770 entries with a score less than or
equal to 68.
At a small coffee shop, the distribution of the number of seconds it
takes for a cashier to process an order is approximately normal with
mean 276 seconds and standard deviation 38 seconds. Which of
the following is closest to the proportion of orders that are
processed in less than 240 seconds? -
correct answer 0.17
At a college the scores on the chemistry final exam are
approximately normally distributed, with a mean of 75 and a
standard deviation of 12. The scores on the calculus final are also
approximately normally distributed, with a mean of 80 and a
standard deviation of 8. A student scored 81 on the chemistry final
and 84 on the calculus final. Relative to the students in each
respective class, in which subject did this student do better? -
correct answer The student did equally well in each course.
,AP Statistics Midterm Exam Questions
And Answers
Shalise competed in a jigsaw puzzle competition where participants
are timed on how long they take to complete puzzles of various
sizes. Shalise completed a small puzzle in 75 minutes and a large
jigsaw puzzle in 140 minutes. For all participants, the distribution of
completion time for the small puzzle was approximately normal
with mean 60 minutes and standard deviation 15 minutes. The
distribution of completion time for the large puzzle was
approximately normal with mean 180 minutes and standard
deviation 40 minutes.
Approximately what percent of the participants had finishing times
greater than Shalise's for each puzzle? -
correct answer 16% on the small puzzle and 84% on the large
puzzle
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
A.M., what is the probability that the student will arrive at the
college campus later than 9 A.M.? -
correct answer 0.16
, AP Statistics Midterm Exam Questions
And Answers
The heights of adult women are approximately normally distributed
about a mean of 65 inches with a standard deviation of 2 inches. If
Rachael is at the 99th percentile in height for adult women, then
her height, in inches, is closest to -
correct answer 70
The distribution of lengths of salmon from a certain river is
approximately normal with standard deviation 3.5 inches. If 10
percent of salmon are longer than 30 inches, which of the following
is closest to the mean of the distribution? -
correct answer 26 inches
Which of the following is the best estimate of the standard
deviation of the distribution shown in the figure above? (30, 40, 50,
60, 70) -
correct answer 10
A recent survey indicated that the mean time spent on a music
streaming service is 210 minutes per week for the population of a
certain country. A simulation was conducted to create a sampling
distribution of the sample mean for a population with a mean of
210. The following histogram shows the results of the simulation.
