AP Statistics Formula Sheet

Modified AP Statistics Formula Sheet

(I) Descriptive Statistics

x

xi

n

sx

1 n1

(xi x)2

sp

(n1 1)s12 (n2 1)s22 (n1 1) (n2 1)

y^ bo b1x

b1

(xi x)(yi y) (xi x)2

bo y b1x

r1 n1

xi x sx

yi y sy

b1

r sy sx

(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

Sampling distribution for sample proportion, with Parameters n and p:

p p^

p(1 p)

p^

n

If x is the mean of a random sample of size n

from an infinite population with mean ? and standard deviation , then:

x

xn

(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

Sample Proportion

n p(1 p)

n

Statistic

Two?Sample

Standard Deviation Of Statistic

Difference of sample means

2

2

1

2

n1 n2

Special case when 1 2 11 n1 n2

Difference of sample proportions

p1 (1 p1 ) p2 (1 p2 )

n1

n2

Special case when p1 = p2

11 p(1 p)

n1 n2

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