AP statistic midterm formula sheet, Cheat Sheet of Statistics

Formula sheet in which include probability, descriptive statistics and standardized test statistics

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2021/2022

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AP STATISTICS MIDTERM FORMULA SHEET
Descriptive Statistics
๐‘ฅ๎ชง=โˆ‘๐‘ฅ๐‘–
๐‘›
๐‘ฆ๏œ=๐‘0+๐‘1๐‘ฅ
๐‘1=๐‘Ÿ๐‘†๐‘ฆ
๐‘†๐‘ฅ
Probability
P(A U B) = P(A) + P(B) โ€“ P(A โˆฉ B)
P(A โ”‚ B) = ๐‘ƒ(๐ด โˆฉ ๐ต)
๐‘ƒ(๐ต)
E(X) = ๐œ‡๐‘ฅ=โˆ‘๐‘ฅ๐‘– ๐‘๐‘–
Var(X) = ฯƒ2 = โˆ‘(๐‘ฅ๐‘–โˆ’๐œ‡๐‘ฅ)2โˆ— ๐‘๐‘–
If X has a binomial distribution with parameters n and p, then:
P(X = k) = (๐‘›
๐‘˜)pk (1 โ€“ p)n โ€“ k
๐œ‡๐‘ฅ=๐‘›๐‘
๐œŽ๐‘ฅ=โˆš๐‘›๐‘(1โˆ’๐‘)
๐œ‡๐‘๏œ=๐‘
๐œŽ๐‘๏œ=โˆš๐‘(1โˆ’๐‘)
๐‘›
Standardized Test Statistic
Z = ๐‘ฅโˆ’๐‘ฅ๎ชง
๐œŽ

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AP STATISTICS MIDTERM FORMULA SHEET

Descriptive Statistics

๐‘–

0

1

1

๐‘ฆ

๐‘ฅ

Probability

P(A U B) = P(A) + P(B) โ€“ P(A โˆฉ B)

P(A โ”‚ B) =

๐‘ƒ(๐ด โˆฉ ๐ต)

๐‘ƒ(๐ต)

E(X) = ๐œ‡

๐‘ฅ

๐‘–

๐‘–

Var(X) = ฯƒ

2

๐‘–

๐‘ฅ

2

๐‘–

If X has a binomial distribution with parameters n and p, then:

P(X = k) = (

๐‘›

๐‘˜

)p

k

(1 โ€“ p)

n โ€“ k

๐‘ฅ

๐‘ฅ

๐‘ฬ‚

๐‘

ฬ‚

Standardized Test Statistic

Z =

๐‘ฅโˆ’๐‘ฅฬ…

๐œŽ