AP Statistics 1st Semester Final Exam Review
Questions With Complete Solutions
Name 3 categorical (qualitative) variables. correct answer:
Favorite color/favorite candy/brand of car.
Name 3 discrete quantitative variables. correct answer: How
many shoes/how many siblings/how many pets.
Name 3 continuous quantitative variables. correct answer: How
long it takes to open a water bottle/amount of water draining in a
tub/amount of rainfall in December.
List the different graphical methods that can be used for
categorical (qualitative) data. correct answer: Bar graph, pie
chart, comparative bar graph, segmented bar chart.
List the different graphical methods that can be used for
numerical (quantitative) data. correct answer: Dot plot,
histogram, stem and leaf, box and whisker, parallel box plot,
back to back stem and leaf plot.
Name the best graph for a continuous numerical data set. correct
answer: Histogram.
Name the best graph for a discrete numerical data set. correct
answer: Dot plot.
, List the measures of center and variability that are sensitive to
outliers. correct answer: Center-mean
Variability-standard deviation/range
Sensitive-not robust/not resistant
Find the z-score of a student who scored a 630 on an exam that
has the mean score of 600 and standard deviation of 20. correct
answer: 630-600/20=1.5
He is 1.5 above the mean
When a distribution is symmetric, what is true about the mean
and median? correct answer: They are approximately equal.
When a distribution is skewed, what is true about the mean and
median? correct answer: The mean follows the skew.
If skewed-use median and IQR
Which measure of center and variability is more appropriate to
use when describing a skewed data set? correct answer: Median
and IQR.
According the Empirical Rule, when a curve is approximated by
a normal distribution, roughly ________ of the observations are
within on standard deviation of the mean, ________ of the
observations are withing two standard deviations of the mean,
and ________ of the observations are within three standard
deviations of the mean. correct answer: 95%
68%
99.7%
Questions With Complete Solutions
Name 3 categorical (qualitative) variables. correct answer:
Favorite color/favorite candy/brand of car.
Name 3 discrete quantitative variables. correct answer: How
many shoes/how many siblings/how many pets.
Name 3 continuous quantitative variables. correct answer: How
long it takes to open a water bottle/amount of water draining in a
tub/amount of rainfall in December.
List the different graphical methods that can be used for
categorical (qualitative) data. correct answer: Bar graph, pie
chart, comparative bar graph, segmented bar chart.
List the different graphical methods that can be used for
numerical (quantitative) data. correct answer: Dot plot,
histogram, stem and leaf, box and whisker, parallel box plot,
back to back stem and leaf plot.
Name the best graph for a continuous numerical data set. correct
answer: Histogram.
Name the best graph for a discrete numerical data set. correct
answer: Dot plot.
, List the measures of center and variability that are sensitive to
outliers. correct answer: Center-mean
Variability-standard deviation/range
Sensitive-not robust/not resistant
Find the z-score of a student who scored a 630 on an exam that
has the mean score of 600 and standard deviation of 20. correct
answer: 630-600/20=1.5
He is 1.5 above the mean
When a distribution is symmetric, what is true about the mean
and median? correct answer: They are approximately equal.
When a distribution is skewed, what is true about the mean and
median? correct answer: The mean follows the skew.
If skewed-use median and IQR
Which measure of center and variability is more appropriate to
use when describing a skewed data set? correct answer: Median
and IQR.
According the Empirical Rule, when a curve is approximated by
a normal distribution, roughly ________ of the observations are
within on standard deviation of the mean, ________ of the
observations are withing two standard deviations of the mean,
and ________ of the observations are within three standard
deviations of the mean. correct answer: 95%
68%
99.7%
