Frequency Distributions and Histograms



MAT1272 Statistics

Formula Sheet

Mean: [pic] (population), [pic](sample),

Variance and standard deviation: [pic]

variance [pic] (population), [pic] (sample)

standard deviation [pic] (population), [pic] (sample)

Discrete probability distributions: mean [pic] (discrete random variable)

standard deviation [pic]

Binomial distribution: mean [pic], standard deviation: [pic],

binomial formula [pic]

Counting: permutations: [pic], permutations[pic], combinations [pic],

Probability: conditional probability: [pic]

multiplication rule: [pic] or [pic]

multiplication rule for independent events: [pic]

events A and B are independent if: [pic] or [pic]

addition rule: [pic]

addition rule for mutually exclusive events: [pic]

events A and B are mutually exclusive if: [pic]

Sampling distribution of [pic]: mean [pic], standard deviation: [pic]

Correlation coefficient: [pic],

where [pic], [pic], [pic]

Linear Regression: [pic], where [pic] and [pic]

Normal Distributions: convert x to z: [pic] convert z to x: [pic]

Sampling Distribution of [pic]: convert [pic] to z: [pic]

Hypothesis testing, [pic] unknown: [pic], [pic], [pic]

Goodness-of-fit test: [pic], [pic], [pic]

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