AP Statistics 2017 Free-Response Questions
2017
AP Statistics
Free-Response Questions
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2017 AP? STATISTICS FREE-RESPONSE QUESTIONS
Formulas begin on page 3. Questions begin on page 6. Tables begin on page 13.
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Formulas
2017 AP? STATISTICS FREE-RESPONSE QUESTIONS
(I) Descriptive Statistics
x
? xi n
sx
n
1
1
?
xi
x
2
n1 1 s21 n2 1 s22
sp
n1 1 n2 1
y^ b0 b1x
b1
? xi x yi y ? xi x 2
b0 y b1x
r
n
1
? 1 ? ??
xi sx
x
? ??
? ? ?
yi sy
y
? ? ?
b1
r sy s x
? yi y^i 2
sb1
n2
? xi x 2
-3-
2017 AP? STATISTICS FREE-RESPONSE QUESTIONS
(II) Probability P(A ? B) P(A) P(B) P(A ? B)
P(A B)
P(A ? B) P(B)
E(X) ?x ? xi pi
Var(X)
s 2
x
? xi ?x 2 pi
If X has a binomial distribution with parameters n and p, then:
P(X
k)
? n? ?? k??
pk
(1
p)nk
?x np
s x
np(1 p)
? p^ p
s p^
p(1 p) n
If x is the mean of a random sample of size n from an infinite population with mean ? and standard deviation s, then:
?x ?
s x
s n
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2017 AP? STATISTICS FREE-RESPONSE QUESTIONS
(III) Inferential Statistics
Standardized
test
statistic:
statistic parameter standard deviation of statistic
Confidence interval: statistic critical value standard deviation of statistic
Single-Sample
Statistic Sample Mean
Standard Deviation of Statistic s n
Sample Proportion
p(1 p) n
Two-Sample
Statistic
Standard Deviation of Statistic
Difference of sample means
s12
s
2 2
n1 n2
Special
case
when
s
1
s
2
s
1 n1
1 n2
Difference of sample proportions
p1(1 n1
p1 )
p2 (1 n2
p2 )
Special case when p1 p2
p1 p
11 n1 n2
? Chi-square test statistic
observed expected2
expected
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