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Lesson 6.7: Box-and-Whisker Plots

Lesson 6.7: Box-and-Whisker Plots. Algebra I. Definitions. Box-and-Whisker Plot: A data display that divides a set of data into four parts. Second Quartile [Middle Quartile]: The median of the data set. First Quartile [Lower Quartile]: The median of the lower half of the data set.

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Lesson 6.7: Box-and-Whisker Plots

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  1. Lesson 6.7: Box-and-Whisker Plots Algebra I

  2. Definitions • Box-and-Whisker Plot: A data display that divides a set of data into four parts. • Second Quartile [Middle Quartile]: The median of the data set. • First Quartile [Lower Quartile]: The median of the lower half of the data set. • Third Quartile [Upper Quartile]: The median of the upper half of the data set.

  3. Example • Find the first, second and third quartiles of the following data.

  4. Check for Understanding • Find the first, second and third quartiles of the following data.

  5. Drawing a Box-and-Whisker Plot • You need to know 5 values in order to construct a Box-and-Whisker Plot: • Least Number (Minimum) • First Quartile (Lower Quartile) • Second Quartile (Middle Quartile) • Third Quartile (Upper Quartile) • Greatest Number (Maximum)

  6. Drawing a Box-and-Whisker Plot • Draw a number line that includes the least and greatest number in the data set. • Plot your 5 values on the number line. • Draw a line from the least number to the greatest number below your number line. Plot your 5 points on this line • The “box” extends from the first to the third quartile. The “whiskers” connect the box to the least and greatest numbers.

  7. Example

  8. Check for Understanding

  9. Why is a Box-and-Whisker Plot Useful? • Gives a visual representation of data • Easy to compare and contrast between different sets of data.

  10. Example Precip. in Chicago over last 30 years Precip. in San Diego over last 30 years

  11. 0 10 20 30 40 50

  12. Classwork: pg. 378 #1-10 (all)

  13. Homework • Pg. 378 #11-23 (odd), #30 • FROM 6.6: • Pg. 371 # 11, 13, 25, 27

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