AP Statistics Formula Sheet



AP Statistics Formula Sheet

(I) Descriptive Statistics

[pic]

(II) Probability

P(A [pic] B) = P(A) + P(B) – P(A ∩ B)

P(A | B) = [pic]

E(X) = [pic]

Var(X) = [pic]

If X has a binomial distribution with

Parameters n and p, then:

P(X = k) = [pic]pk (1 – p)n–k

µx = np

[pic]

[pic]

If [pic] is the mean of a random sample of size n from an infinite population with mean µ and standard deviation σ, then:

[pic]

[pic]

(III) Inferential Statistics

Standardized test statistic: statistic – parameter[pic]

standard deviation of statistic

Confidence interval: statistic ± (critical value) • (standard deviation of statistic)

Single–Sample

|Statistic |Standard Deviation |

| |Of Statistic |

|Sample Mean |[pic] |

|Sample Proportion |[pic] |

Two–Sample

|Statistic |Standard Deviation |

| |Of Statistic |

| | |

|Difference of |[pic] |

|sample means | |

| |Special case when [pic] |

| |[pic] |

|Difference of | |

|sample proportions |[pic] |

| | |

| |Special case when p1 = p2 |

| |[pic] |

Chi-square test statistic = [pic]

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