PSTAT Discussion Notes 4 7 08

PSTAT Discussion Notes 4 7 08 - Example Midterm grades of 5...

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PSTAT Discussion Notes 4/7/08 Descriptive statistics Statistics that summarize data in a comprehensive way. Ex. Mean, median, mode, variance, standard deviation, range, IQR IQR Interquantile range IQR = Q 3 – Q 1 1 st Quantile = Q 1 = Number that marks 1 st 25 th percentile of data. i = position of Q 1 = 25/100 * number of entries in data set round up i = 2 3 rd Quantile = Q 3 = Number that marks 75 th percentile of data i = position of Q 3 = 75/100 * number of entries in data set
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Unformatted text preview: Example: Midterm grades of 5 students were recorded: 80 89 70 75 68 mean = average of all numbers = 76.4 median = middle number of data set = 75 mode = number that reoccurs the most times in the data set = here, no mode exists. Q 1 i = 25/100 * 5 = 1.25 2 Q 1 = 70 Q 2 i = 75/100 * 5 = 3.75 4 Q 3 = 80 Population Sample Mean μ x Variance σ 2 s 2 Standard Deviation σ s...
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