ADVANCED PLACEMENT / STATISTICS
AP Statistics Exam 2026/2027 | AP Exam with Questions & Verified
Answers 2026/2027
A+
Complete Blueprint Coverage
A+ 4 100%
QUESTIONS VERIFIED CORE DOMAINS COVERED RATIONALES INCLUDED
CATEGORIES
Exploring Data
Sampling & Experimentation
Probability
Statistical Inference
STUVIAACTUALEXAM
, Exploring Data
Q1.
A statistics teacher records the number of hours 30 students spent studying for an exam and their corresponding exam scores. A
scatterplot of the data shows a roughly linear pattern with a correlation of r = 0.82. The teacher computes the least-squares
regression line. What does the value of r primarily indicate about the relationship?
A. The slope of the regression line is 0.82.
B. Exactly 82% of the variation in scores is explained by study hours.
C. There is a moderately strong positive linear association between study hours and exam scores.
D. The y-intercept of the regression line is 0.82.
Correct Answer: C
Rationale: The correlation coefficient r measures the strength and direction of a linear association. A value of 0.82 indicates a moderately strong positive linear
relationship. It is not the slope, nor is it the coefficient of determination r-squared.
Q2.
A data set of 25 test scores has a mean of 78 and a median of 82. The distribution is described as slightly left-skewed. Which
statement is most consistent with these summary statistics?
A. Left-skewed distributions cannot have a median higher than the mean.
B. In a left-skewed distribution the mean is always greater than the median.
C. The mean and median are equal in any skewed distribution.
D. The mean is pulled toward the longer left tail, so it is less than the median.
Correct Answer: D
Rationale: In a left-skewed distribution the longer tail is on the left, which pulls the mean downward relative to the median. Thus mean < median is the expected
relationship.
Q3.
A researcher constructs a boxplot for a set of reaction times (in milliseconds). The five-number summary is 180, 210, 245, 290, 450.
Using the 1.5 x IQR rule, is the maximum value an outlier?
A. No, because 450 is less than Q3 + 1.5 x IQR.
B. Yes, because 450 exceeds Q3 + 1.5 x IQR.
C. The rule cannot be applied without knowing the sample size.
D. Only values below Q1 - 1.5 x IQR can be outliers.
Correct Answer: B
Rationale: IQR = 290 - 210 = 80. Upper fence = 290 + 1.5(80) = 410. Since 450 > 410, the maximum is a high outlier according to the 1.5 x IQR rule.
Q4.
Two histograms display the distribution of household incomes in two different cities. City A's histogram is roughly symmetric and
unimodal; City B's is strongly right-skewed. For which city is the mean more likely to exceed the median?
A. City B, because a right-skewed distribution pulls the mean toward the long right tail.
B. City A, because symmetric distributions always have mean greater than median.
C. Both cities equally, because mean always equals median.
D. Neither city, because the median is always larger than the mean.
Correct Answer: A
Rationale: In a right-skewed distribution the long right tail pulls the mean above the median. In a roughly symmetric distribution the mean and median are
approximately equal.
Q5.
A student calculates the residual for a data point on a residual plot for a linear regression. The residual is -4.2. What does this
residual tell the student about the observed value relative to the predicted value?
A. The observed value is 4.2 units below the predicted value.
B. The observed value is 4.2 units above the predicted value.
C. The slope of the regression line is -4.2.
D. The correlation is -4.2.
Correct Answer: A
Rationale: Residual = observed y - predicted y. A negative residual means the actual observation lies below the regression line by that amount.
STUVIAACTUALEXAM Q1
Q2
Q3
Q4
Q5
AP Statistics Exam 2026/2027 | AP Exam with Questions & Verified
Answers 2026/2027
A+
Complete Blueprint Coverage
A+ 4 100%
QUESTIONS VERIFIED CORE DOMAINS COVERED RATIONALES INCLUDED
CATEGORIES
Exploring Data
Sampling & Experimentation
Probability
Statistical Inference
STUVIAACTUALEXAM
, Exploring Data
Q1.
A statistics teacher records the number of hours 30 students spent studying for an exam and their corresponding exam scores. A
scatterplot of the data shows a roughly linear pattern with a correlation of r = 0.82. The teacher computes the least-squares
regression line. What does the value of r primarily indicate about the relationship?
A. The slope of the regression line is 0.82.
B. Exactly 82% of the variation in scores is explained by study hours.
C. There is a moderately strong positive linear association between study hours and exam scores.
D. The y-intercept of the regression line is 0.82.
Correct Answer: C
Rationale: The correlation coefficient r measures the strength and direction of a linear association. A value of 0.82 indicates a moderately strong positive linear
relationship. It is not the slope, nor is it the coefficient of determination r-squared.
Q2.
A data set of 25 test scores has a mean of 78 and a median of 82. The distribution is described as slightly left-skewed. Which
statement is most consistent with these summary statistics?
A. Left-skewed distributions cannot have a median higher than the mean.
B. In a left-skewed distribution the mean is always greater than the median.
C. The mean and median are equal in any skewed distribution.
D. The mean is pulled toward the longer left tail, so it is less than the median.
Correct Answer: D
Rationale: In a left-skewed distribution the longer tail is on the left, which pulls the mean downward relative to the median. Thus mean < median is the expected
relationship.
Q3.
A researcher constructs a boxplot for a set of reaction times (in milliseconds). The five-number summary is 180, 210, 245, 290, 450.
Using the 1.5 x IQR rule, is the maximum value an outlier?
A. No, because 450 is less than Q3 + 1.5 x IQR.
B. Yes, because 450 exceeds Q3 + 1.5 x IQR.
C. The rule cannot be applied without knowing the sample size.
D. Only values below Q1 - 1.5 x IQR can be outliers.
Correct Answer: B
Rationale: IQR = 290 - 210 = 80. Upper fence = 290 + 1.5(80) = 410. Since 450 > 410, the maximum is a high outlier according to the 1.5 x IQR rule.
Q4.
Two histograms display the distribution of household incomes in two different cities. City A's histogram is roughly symmetric and
unimodal; City B's is strongly right-skewed. For which city is the mean more likely to exceed the median?
A. City B, because a right-skewed distribution pulls the mean toward the long right tail.
B. City A, because symmetric distributions always have mean greater than median.
C. Both cities equally, because mean always equals median.
D. Neither city, because the median is always larger than the mean.
Correct Answer: A
Rationale: In a right-skewed distribution the long right tail pulls the mean above the median. In a roughly symmetric distribution the mean and median are
approximately equal.
Q5.
A student calculates the residual for a data point on a residual plot for a linear regression. The residual is -4.2. What does this
residual tell the student about the observed value relative to the predicted value?
A. The observed value is 4.2 units below the predicted value.
B. The observed value is 4.2 units above the predicted value.
C. The slope of the regression line is -4.2.
D. The correlation is -4.2.
Correct Answer: A
Rationale: Residual = observed y - predicted y. A negative residual means the actual observation lies below the regression line by that amount.
STUVIAACTUALEXAM Q1
Q2
Q3
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