Chapter 1 Lesson 4 Quartiles, Percentiles, and Box Plots.

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Presentation transcript:

Chapter 1 Lesson 4 Quartiles, Percentiles, and Box Plots

Vocabulary Quartiles- The three values which divide an ordered set into four subsets of approximately the same size. Second (Middle) Quartile- Median of the data set. First (Lower) Quartile- Median of values below the median. Third (Upper) Quartile- Median of values above the median. Five Number Summary- Quartiles along with minimum and maximum of the data set. P th Percentile- A value in the set such that P percent of the numbers are less than or equal to that value. Box Plot (Box-and-Whisker Plot)- A visual representation of the five number summary. Inter-Quartile Range (IQR)- Third Quartile minus First Quartile. Outliers- An element of a set of numbers which is very different from most or all of the other elements. Spread- Distance between values.

Finding Outliers Find the IQR Add 1.5 x IQR to the 3 rd Quartile Any number larger than sum is an outlier Subtract 1.5 x IQR from the 1 st Quartile Any number smaller than difference is an outlier Outliers can be on both sides, one side, or there could be no outliers at all.

Five-Number Summary 21, 22, 26, 23, 33, 41, 39, 33, 18, 25, 30, 19, 20, 24, 35, 42 Minimum? First Quartile (Q 1 )? Second Quartile (Q 2 )(Median)? Third Quartile (Q 3 )? Maximum? IQR? Outliers?

Five-Number Summary 1, 1, 9, 4, 7, 3, 10, 11, 2, 15, 13, 4, 3, 9, 11, 13, 8, 6, 2 Minimum? Lower Quartile (Q 1 )? Middle Quartile (Q 2 )(Median)? Upper Quartile (Q 3 )? Maximum? IQR? Outliers?

What would happen if? What would happen to the five number summary if all of the numbers in the data set were changed by the same amount?

How to use the Five Number Summary Makes a Box-and-Whisker plot.

Percentiles 0 th Percentile- Minimum 25 th Percentile – First (Lower) Quartile 50 th Percentile- Second (Middle) Quartile 75 th Percentile- Third (Upper) Quartile 100 th Percentile- Maximum

Finding an odd percentile

Reading a Box Plot

Homework Worksheet 1-4