Understanding Statistics 1#13 Box and Whisker plots
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The document explains box and whisker plots and their role in understanding data distributions through a five-number summary, comparing two classes, A and B. Class B demonstrates a higher median and skewed distribution indicating outliers, while Class A shows a more uniform dispersion of scores. It provides specific numerical examples to illustrate these statistical concepts.
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Understanding Statistics 1#13 Box and Whisker plots
- 1. Understanding Statistics Box and Whisker Plots
- 2. Box and Whisker Plots 5 Number Summary – summary of data points Min Value, Q1, Q2, Q3, Max Value - Class B clearly doing better, tells you that majority of data is in upper end - Median Class B is much higher - The long tail show there might be some outliers in class B who got a low grade. Perhaps1-2 kids didn’t do very well - Class A is spared out from the median which tells that class is all over the place - Min value of class B is higher than Class A - You can draw inferences, conclusions without a lot of data Class A Class B Min 14 16 Q1 16 24 Q2 22 30 Q3 30 32 Max 34 34
- 3. Box and Whisker Plots - Example with full data set: - Data A: 2,3,5,5,5,6,6,6,7,7,8 Five number summary: Min=2; Q1=5; Q2=6; Q3=6.5; Max=8 - Data B: 3,3,4,4,4,5,6,6,9,12 Five number summary: Min=3; Q1=4; Q2=4.5; Q3=6; Max =12 - Data A is very compact around the median - Data B have outliers – see the max way higher than Q3 - Median A higher than Median B; Data A is concentrated a bit higher than Data B - This is a very nice way to concentrate a lot of data in a very thigh space