AP Statistics Review Exam 2025-2026 Questions and
Correct Answers Rated A+
How do you check if there is outliers? - ANSWER -calculate IQR;
anything above Q3+1.5(IQR) or below Q1-1.5(IQR) is an outlier
If a graph is skewed, should we calculate the median or the mean?
Why? - ANSWER -median; it is resistant to skews and outliers
If a graph is roughly symmetrical, should we calculate the median or the
mean? Why? - ANSWER -mean; generally is more accurate if the data
has no outliers
What is in the five number summary? - ANSWER -Minimum, Q1,
Median, Q3, Maximum
,Relationship between variance and standard deviation? - ANSWER -
variance=(standard deviation)^2
variance definition - ANSWER -the variance is roughly the average of
the squared differences between each observation and the mean
standard deviation - ANSWER -the standard deviation is the square root
of the variance
What should we use to measure spread if the median was calculated? -
ANSWER -IQR
What should we use to measure spread if the mean was calculated? -
ANSWER -standard deviation
What is the IQR? How much of the data does it represent? - ANSWER -
Q3-Q1; 50%
How do you calculate standard deviation? - ANSWER -1. Type data into
L1
2. Find mean with 1 Variable Stats
3. Turn L2 into (L1-mean)
4. Turn L3 into (L2)^2
5. Go to 2nd STAT over to MATH, select sum(
, 6. Type in L3
7. multiply it by (1/n-1)
8. Square root it
What is the formula for standard deviation? - ANSWER -
Categorical variables vs. Quantitative Variables - ANSWER -Categorical:
individuals can be assigned to one of several groups or categories
Quantitative: takes numberical values
If a possible outlier is on the fence, is it an outlier? - ANSWER -No
Things to include when describing a distribution - ANSWER -Center
(Mean or Median), Unusual Gaps or Outliers, Spread (Standard
Deviation or IQR), Shape (Roughly Symmetric, slightly/heavily skewed
left or right, bimodal, range)
Explain how to standardize a variable. What is the purpose of
standardizing a variable? - ANSWER -Subtract the distribution mean and
then divide by standard deviation. Tells us how many standard
deviations from the mean an observation falls, and in what direction.
What effect does standardizing the values have on the distribution? -
ANSWER -shape would be the same as the original distribution, the
mean would become 0, the standard deviation would become 1
Correct Answers Rated A+
How do you check if there is outliers? - ANSWER -calculate IQR;
anything above Q3+1.5(IQR) or below Q1-1.5(IQR) is an outlier
If a graph is skewed, should we calculate the median or the mean?
Why? - ANSWER -median; it is resistant to skews and outliers
If a graph is roughly symmetrical, should we calculate the median or the
mean? Why? - ANSWER -mean; generally is more accurate if the data
has no outliers
What is in the five number summary? - ANSWER -Minimum, Q1,
Median, Q3, Maximum
,Relationship between variance and standard deviation? - ANSWER -
variance=(standard deviation)^2
variance definition - ANSWER -the variance is roughly the average of
the squared differences between each observation and the mean
standard deviation - ANSWER -the standard deviation is the square root
of the variance
What should we use to measure spread if the median was calculated? -
ANSWER -IQR
What should we use to measure spread if the mean was calculated? -
ANSWER -standard deviation
What is the IQR? How much of the data does it represent? - ANSWER -
Q3-Q1; 50%
How do you calculate standard deviation? - ANSWER -1. Type data into
L1
2. Find mean with 1 Variable Stats
3. Turn L2 into (L1-mean)
4. Turn L3 into (L2)^2
5. Go to 2nd STAT over to MATH, select sum(
, 6. Type in L3
7. multiply it by (1/n-1)
8. Square root it
What is the formula for standard deviation? - ANSWER -
Categorical variables vs. Quantitative Variables - ANSWER -Categorical:
individuals can be assigned to one of several groups or categories
Quantitative: takes numberical values
If a possible outlier is on the fence, is it an outlier? - ANSWER -No
Things to include when describing a distribution - ANSWER -Center
(Mean or Median), Unusual Gaps or Outliers, Spread (Standard
Deviation or IQR), Shape (Roughly Symmetric, slightly/heavily skewed
left or right, bimodal, range)
Explain how to standardize a variable. What is the purpose of
standardizing a variable? - ANSWER -Subtract the distribution mean and
then divide by standard deviation. Tells us how many standard
deviations from the mean an observation falls, and in what direction.
What effect does standardizing the values have on the distribution? -
ANSWER -shape would be the same as the original distribution, the
mean would become 0, the standard deviation would become 1
