# Health Statistics H391 week 5, Lecture notes for Social Statistics and Data Analysis. Indiana University (IN)

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Health Statistics H391

Normal curve: visual representation of naturally occurring things.

• Symmetrical

• Mean=median=mode

• No skew

• Asymptotic: does x=/= zero

• 68% of scores fall between -1 and 1 standard deviations

• 95% fall between -2 and 2 standard deviations

• Almost 98 percept fall between -3 and 3 standard deviations.

• For any mean and standard deviation, there is a unique normal curve.

Raw distribution=sample distribution

Sampling w/replacement: new sample, several repeated subjects and new subjects

Means of multiple samples=sampling distributions

• Each value represents an average of multiple scores from multiple samples.

• Standard error: when discussing a population

• Sampling distribution: distribution of a sample of means

• Central limit theorem: sample size increases, sampling distribution mimics normal curve regardless of original visual representations.