AP Statistics – Unit 1 Progress Check MCQ Part B Solutions
(2025–2026) with Extra Practice Questions and Answers
Introduction:
This document contains the complete solutions to the AP Statistics
Unit 1 Progress Check MCQ Part B for the academic year 2025–2026.
Each question is answered with detailed explanations, covering
topics such as normal distributions, boxplots, measures of central
tendency, and outlier detection. In addition, an extended study guide
with 60+ extra practice questions and answers is included,
reinforcing key concepts like hypothesis testing, correlation,
sampling methods, and probability rules. This makes it a
comprehensive resource for exam preparation and concept review.
Exam Questions and Answers:
A family has two cats named Gordo and Flaco. Gordo weighs 15
pounds and Flaco weighs 8 pounds. A cat's weight is classified as
unhealthy if the weight is located in the top 5% or bottom 5% of all
cat weights. The distribution of cat weights is approximately
normal with mean 9.5 pounds and standard deviation 1.5 pounds.
Which of the following is the best description of Gordo's and Flaco's
weights? --- correct answer ---
Gordo's weight is classified as unhealthy but Flaco's weight is not.
WHY?
,Because Gordo's weight is over 3 standard deviations above the
mean, his weight is in the top 5% of all weights and is classified as
unhealthy. Flaco's weight is less than 2 standard deviations below
the mean, so his weight is not in the bottom 5% of all weights and
is not classified as unhealthy.
In the Dominican Republic in August, the distribution of daily high
temperature is approximately normal with mean 86 degrees
Fahrenheit (°F). Approximately 95% of all daily high temperatures
are between 83°F and 89°F. What is the standard deviation of the
distribution? --- correct answer ---
1.5°F
WHY?
The empirical rule states that approximately 95% of the
observations in a data set that is approximated by a normal curve
will lie within 2 standard deviations of the mean. Since 95% of all
daily high temperatures are between 83°F and 89°F, the interval
from 83°F to 89°F has a width of 4 standard deviations (2 above the
mean and 2 below the mean). So 1 standard deviation is (89−83)/4
= 1.5°F
, Researchers studying catfish estimated the number of fingerling
catfish and large catfish living in different rivers throughout the
country. The following histograms summarize the relative
frequency for each type of catfish.
Based on the histograms, which of the following is the best
comparison of the means and the ranges for the two distributions? -
-- correct answer ---
The mean and range of the fingerling catfish are both greater than
those of the large catfish.
WHY?
The range of the distribution of fingerling catfish is between 6,000
and 8,000, while the range of the distribution of large catfish is
between 1,500 and 2,000. Therefore the range of the distribution of
fingerling catfish is greater than the range of the distribution of
large catfish. The least value in the distribution of fingerling catfish
is more than the greatest value of the distribution of large catfish.
Therefore the mean of the distribution of fingerling catfish must be
greater than the mean of the distribution of large catfish.
(2025–2026) with Extra Practice Questions and Answers
Introduction:
This document contains the complete solutions to the AP Statistics
Unit 1 Progress Check MCQ Part B for the academic year 2025–2026.
Each question is answered with detailed explanations, covering
topics such as normal distributions, boxplots, measures of central
tendency, and outlier detection. In addition, an extended study guide
with 60+ extra practice questions and answers is included,
reinforcing key concepts like hypothesis testing, correlation,
sampling methods, and probability rules. This makes it a
comprehensive resource for exam preparation and concept review.
Exam Questions and Answers:
A family has two cats named Gordo and Flaco. Gordo weighs 15
pounds and Flaco weighs 8 pounds. A cat's weight is classified as
unhealthy if the weight is located in the top 5% or bottom 5% of all
cat weights. The distribution of cat weights is approximately
normal with mean 9.5 pounds and standard deviation 1.5 pounds.
Which of the following is the best description of Gordo's and Flaco's
weights? --- correct answer ---
Gordo's weight is classified as unhealthy but Flaco's weight is not.
WHY?
,Because Gordo's weight is over 3 standard deviations above the
mean, his weight is in the top 5% of all weights and is classified as
unhealthy. Flaco's weight is less than 2 standard deviations below
the mean, so his weight is not in the bottom 5% of all weights and
is not classified as unhealthy.
In the Dominican Republic in August, the distribution of daily high
temperature is approximately normal with mean 86 degrees
Fahrenheit (°F). Approximately 95% of all daily high temperatures
are between 83°F and 89°F. What is the standard deviation of the
distribution? --- correct answer ---
1.5°F
WHY?
The empirical rule states that approximately 95% of the
observations in a data set that is approximated by a normal curve
will lie within 2 standard deviations of the mean. Since 95% of all
daily high temperatures are between 83°F and 89°F, the interval
from 83°F to 89°F has a width of 4 standard deviations (2 above the
mean and 2 below the mean). So 1 standard deviation is (89−83)/4
= 1.5°F
, Researchers studying catfish estimated the number of fingerling
catfish and large catfish living in different rivers throughout the
country. The following histograms summarize the relative
frequency for each type of catfish.
Based on the histograms, which of the following is the best
comparison of the means and the ranges for the two distributions? -
-- correct answer ---
The mean and range of the fingerling catfish are both greater than
those of the large catfish.
WHY?
The range of the distribution of fingerling catfish is between 6,000
and 8,000, while the range of the distribution of large catfish is
between 1,500 and 2,000. Therefore the range of the distribution of
fingerling catfish is greater than the range of the distribution of
large catfish. The least value in the distribution of fingerling catfish
is more than the greatest value of the distribution of large catfish.
Therefore the mean of the distribution of fingerling catfish must be
greater than the mean of the distribution of large catfish.
