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Chapter 5 Describing Distributions Numerically PowerPoint Presentation
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Chapter 5 Describing Distributions Numerically

Chapter 5 Describing Distributions Numerically

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Chapter 5 Describing Distributions Numerically

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  1. Chapter 5Describing Distributions Numerically *Mean, Median *Range, Standard Deviation, IQR *Box-and-Whisker Plots (Box Plots) *5 number summary

  2. Remember!?! • Mean: add up all the data values then divide by the number of values • Median: the middle number in an arranged set of data (if there is no middle number find the mean between the two middle numbers) • Range: max value – min value

  3. Patriots Salaries 13 - 14 • Find the mean, median, and range for the data

  4. When to use what? • When your data is skewed • center: median • range: Interquartile Range (IQR) • When your data is symmetric • center: mean • range: standard deviation (SD) **Always check the distribution of the data before deciding which measure of center and spread to use**

  5. Mean vs Median in Skewed Data

  6. 5 Number Summary • Minimum • Lower Quartile (Q1) [median of lower 50% of the data] • Median • Upper Quartile (Q3) [median of the upper 50% of the data] • Maximum • Calc: • enter data into the list • STAT ; CALC ; 1: 1 – VAR Stats

  7. How to Determine an Outlier • If a data value is more than 1.5 times the IQR away from the upper or lower quartile it is an outlier • Q1 – 1.5IQR • Q3 + 1.3IQR

  8. Box-and-Whisker Plots(Box Plots) • A way to display the 5 number summary