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STAT 544
Aug 14, 2023
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Population parameters and sample statistics Convention includes: e Greek letters = population e Latin letters = sample. Common distributions Characteristic Population | Sample Mean v X Standard deviation | o S Proportion T p e Bernoulli distribution (only used for samples of one size). e Binomial distribution (two mutually exclusive events, the number of times an outcome repeats in a data set). e Normal distribution e T-distribution e Chi-square distribution Normal Distribution - GAUSSIAN e Appropriate for continuous data e Symmetric and bell shaped e Distribution has two parameters: Central value = Mean (Mu, ) Spread = Standard Deviation (Sigma, o) Summary statistics e Provides concise information about the data. o Central tendency * Mean 3 * Median 25 * Mode 2 o Measures of dispersion » Standard deviation (SD) 1 * Interquartile range (IQR) os * Range Distribution of data (a) Negatively skewed (b) Normal (no skew) Mean Median Mode M?de Median / > z @ = 3 o Mean ( g S 0. . i 0 20 40 60 80 (c) Positively skewed Mode V ASYMMETRIC SYMMETRIC \ Median X, - V ASYMMETRIC =STDEV() in Excel
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