1. Unit 2: Box Plots (Tukey) Descriptive Statistics Part Four
Thinking within the box,
and without

2. (Tukey) Box Plots
TUKEY BOX PLOTS: A Tukey Box Plot (sometimes called a box-and-whisker plot) is a method of displaying data, invented by the mathematician John Tukey ( ). Tukey Box Plots give key information that allow the reader to quickly summarize data and make certain reasoned conclusion without having to examine the data.

3. (Tukey) Box Plots
A boxplot can show whether a data set is symmetric (roughly the same on each side when cut down the middle) or skewed (lop-sided). A symmetric data set shows the median roughly in the middle of the box. The median, part of the five-number summary and the six- figure summary, is shown by the line that cuts through the box in the boxplot.
Five-Number Summary: Min, Q1, Median, Q3, Max
Six-Figure Summary: Min, Q1, Median, Q3, Max, Mean

4. (Tukey) Box Plots Q1 Median Q3 Outlier
Mean: 9
SET = { 1, 5, 7, 7, 8, 9, 9, 10, 11, 13, 19 }
Min Q1
Median Q3
Max
Outlier

5. VOCABULARY WORDS (TUKEY) BOX PLOT SYMMETRIC(AL) SKEWED (LEFT OR RIGHT)
FIVE-NUMBER SUMMARY
SIX-FIGURE SUMMARY

6. PRACTICE :
FIND THE RELATIVE DESCRIPTIVE STATISTICS AND CRATE A TUKEY BOX PLOT FOR EACH OF THE FOLLOWING DATA SETS:
1. { 1, 6, 7, 10, 16, 16, 18, 22, 22, 26, 26 }
2. { 2, 3, 7, 8, 8, 8, 9, 9, 10, 11, 13 }
3. { 1, 9, 11, 13, 14, 15, 15, 16, 24, 30 }
4. { -3, 3, 8, 8, 13, 13, 19 }
5. { 1, 9, 10, 11, 13, 13, 23 }