AP Stats Midterm Exam Questions
with Answers
A certain type of remote-control car has a fully charged battery at the time of purchase.
The distribution of running times of cars of this type, before they require recharging of
the battery for the first time after its period of initial use, is approximately normal with a
mean of 80 minutes and a standard deviation of 2.5 minutes. The shaded area in the
figure below represents which of the following probabilities? - Answer-A. The probability
that the running time of a randomly selected car of this type, before it requires
recharging of the battery for the first time after its period of initial use, is between 75
minutes and 82.5 minutes.
A sleep time of 15.9 hours per day for a newborn baby is at the 10th percentile of the
distribution of sleep times for all newborn babies. Assuming the distribution is normal
with standard deviation 0.5 hour, approximately what is the mean sleep time, in hours
per day, for newborn babies? - Answer-D. 16.5
A distribution of test scores is not symmetric. Which of the following is the best estimate
of the z-score of the third quartile? - Answer-E. This z-score cannot be estimated from
the information given.
The distribution of the number of transactions per day at a certain automated teller
machine (ATM)(ATM) is approximately normal with a mean of 80 transactions and a
standard deviation of 10 transactions. Which of the following represents the parameters
of the distribution? - Answer-Not C; (C) D. μ=80;σ=10
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? - Answer-Not C; (M): A. 0.17
30. Free Response - Answer-30
Link - Answer-https://docs.google.com/document/d/1UgSjitiU7VmocfYxrzJ8tIWLBq7Jj-
5XNK6MLbtSFi0/edit
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? - Answer-B. 16% on the small puzzle and 84% on the large puzzle
The following segmented bar chart shows the number of flights that were either on time
or delayed at three different airports on one day.
Which of the following statements is supported by the bar chart? - Answer-C. The
number of on-time flights at Airport S is half the number of on-time flights at Airport T.
33. Free Response - Answer-33
First-year students enrolled at a college were asked whether they play video games.
The responses, classified by whether the students were enrolled in the school of
sciences or the school of arts, are shown in the table.
Of all the students enrolled in the school of arts who responded, approximately what
proportion responded that they play video games? - Answer-C. 0.438
35. Free Response - Answer-35
For a random sample of 20 professional athletes, there is a strong, linear relationship
between the number of hours they exercise per week and their resting heart rate. For
the athletes in the sample, those who exercise more hours per week tend to have lower
resting heart rates than those who exercise less. Which of the following is a reasonable
value for the correlation between the number of hours athletes exercise per week and
their resting heart rate? - Answer-Not A; (M): D. −0.87
A restaurant manager collected data on the number of customers in a party in the
restaurant and the time elapsed until the party left the restaurant. The manager
computed a correlation of 0.78 between the two variables. What information does the
correlation provide about the relationship between the number of customers in a party at
the restaurant and the time elapsed until the party left the restaurant? - Answer-Not A;
(M): C. The parties with a larger number of customers are associated with the longer
times elapsed until the party left the restaurant.
Which of the following questions about cars in a school parking lot will allow for the
collection of a set of categorical data? - Answer-E. What are the colors of the cars in the
lot?
The following table summarizes the number of pies sold at a booth one day at a local
farmers market.
Which of the following statements is supported by the table? - Answer-E. The combined
percentage of key lime pies sold and pumpkin pies sold was less than 50%.
The combined percentage of key lime pies sold and pumpkin pies sold was less than
50%.
with Answers
A certain type of remote-control car has a fully charged battery at the time of purchase.
The distribution of running times of cars of this type, before they require recharging of
the battery for the first time after its period of initial use, is approximately normal with a
mean of 80 minutes and a standard deviation of 2.5 minutes. The shaded area in the
figure below represents which of the following probabilities? - Answer-A. The probability
that the running time of a randomly selected car of this type, before it requires
recharging of the battery for the first time after its period of initial use, is between 75
minutes and 82.5 minutes.
A sleep time of 15.9 hours per day for a newborn baby is at the 10th percentile of the
distribution of sleep times for all newborn babies. Assuming the distribution is normal
with standard deviation 0.5 hour, approximately what is the mean sleep time, in hours
per day, for newborn babies? - Answer-D. 16.5
A distribution of test scores is not symmetric. Which of the following is the best estimate
of the z-score of the third quartile? - Answer-E. This z-score cannot be estimated from
the information given.
The distribution of the number of transactions per day at a certain automated teller
machine (ATM)(ATM) is approximately normal with a mean of 80 transactions and a
standard deviation of 10 transactions. Which of the following represents the parameters
of the distribution? - Answer-Not C; (C) D. μ=80;σ=10
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? - Answer-Not C; (M): A. 0.17
30. Free Response - Answer-30
Link - Answer-https://docs.google.com/document/d/1UgSjitiU7VmocfYxrzJ8tIWLBq7Jj-
5XNK6MLbtSFi0/edit
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? - Answer-B. 16% on the small puzzle and 84% on the large puzzle
The following segmented bar chart shows the number of flights that were either on time
or delayed at three different airports on one day.
Which of the following statements is supported by the bar chart? - Answer-C. The
number of on-time flights at Airport S is half the number of on-time flights at Airport T.
33. Free Response - Answer-33
First-year students enrolled at a college were asked whether they play video games.
The responses, classified by whether the students were enrolled in the school of
sciences or the school of arts, are shown in the table.
Of all the students enrolled in the school of arts who responded, approximately what
proportion responded that they play video games? - Answer-C. 0.438
35. Free Response - Answer-35
For a random sample of 20 professional athletes, there is a strong, linear relationship
between the number of hours they exercise per week and their resting heart rate. For
the athletes in the sample, those who exercise more hours per week tend to have lower
resting heart rates than those who exercise less. Which of the following is a reasonable
value for the correlation between the number of hours athletes exercise per week and
their resting heart rate? - Answer-Not A; (M): D. −0.87
A restaurant manager collected data on the number of customers in a party in the
restaurant and the time elapsed until the party left the restaurant. The manager
computed a correlation of 0.78 between the two variables. What information does the
correlation provide about the relationship between the number of customers in a party at
the restaurant and the time elapsed until the party left the restaurant? - Answer-Not A;
(M): C. The parties with a larger number of customers are associated with the longer
times elapsed until the party left the restaurant.
Which of the following questions about cars in a school parking lot will allow for the
collection of a set of categorical data? - Answer-E. What are the colors of the cars in the
lot?
The following table summarizes the number of pies sold at a booth one day at a local
farmers market.
Which of the following statements is supported by the table? - Answer-E. The combined
percentage of key lime pies sold and pumpkin pies sold was less than 50%.
The combined percentage of key lime pies sold and pumpkin pies sold was less than
50%.
