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Lecture6

# Lecture6 - Lecture 6 Normal Quantile Plot Chance...

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Lecture 6: Normal Quantile Plot; Chance Experiments, Probability Concepts Chapter 5: Probability and Sampling Distributions

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Example Scores for 10 students are: 78 80 80 81 82 83 85 85 86 87 Find the median and quartiles: 1. Median= Q2 = M = (82+83)/2 = 82.5 2. Q1 = Median of the lower half, i.e. 78 80 80 81 82, = 80 3 . Q3 = Median of the upper half, i.e. 83 85 85 86 87, = 85 Therefore, IQR = Q3 – Q1 = 85 – 80 = 5 Additionally, find Min and Max Min = 78, and Max = 87 We get a five-number summary! Min Q1 Median Q3 Max 78 80 82.5 85 87
Boxplots; Modified Version Visual representation of the five-number summary Central box: Q1 to Q3 Line inside box: Median Extended straight lines: from each end of the box to lowest and highest observation. Modified Boxplots: only extend the lines to the smallest and largest observations that are not outliers. Each mild outlier * is represented by a closed circle and each extreme outlier ** by an open circle . * Any observation farther than 1.5 IQR from the closest quartile is an outlier .

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Lecture6 - Lecture 6 Normal Quantile Plot Chance...

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