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4-23-13 BOX PLOTS EQ: How can we organize a large set of data to look for center and variability?

4-23-13 BOX PLOTS EQ: How can we organize a large set of data to look for center and variability?. BOP. DWP. 1.25 cups of flour. Check homework Math 7+ Workbook pages 197, 198 Math 7 Workbook page 3 Collect work from yesterday on Histograms.

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4-23-13 BOX PLOTS EQ: How can we organize a large set of data to look for center and variability?

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  1. 4-23-13 BOX PLOTS EQ: How can we organize a large set of data to look for center and variability? BOP DWP

  2. 1.25 cups of flour

  3. Check homework Math 7+ Workbook pages 197, 198 Math 7 Workbook page 3 Collect work from yesterday on Histograms.

  4. A dollar can be divided into four quarters; that is, four equal parts - each of which consists of 25 cents. • A football game is divided into four quarters; that is, four equal parts - each of which consists of 15 minutes. • An hour can be divided into four quarters; that is, four equal parts - each of which consists of 15 minutes • A school year is divided into four quarters; that, four equal parts - each of which consists of 9 week marking periods (or 10 for traditional schools). • A year can be divided into four quarters; that is four equal parts - each of which consists of 3 months. • What is a • quarter? • one-quarter • one-fourth • fourth • 1/4 • 25%

  5. What is a Quartile? • Quartiles break a data set in into fourths, • or four equal parts. • Similar to a quarter within a dollar • (and all other examples from above), • each quartile represents 25%. • So, if 100% of a data set is broken down into four equal parts, then there are "breaks“ at 25%, 50%, and 75%. • The breaks are more formally called the • first quartile, second quartile, and • third quartile.

  6. FILL IN THE STATISTICS BELOW USING THE BOX-AND-WHISKER PLOT on the previous screen.

  7. What is the IQR of the data below? Solution: The first quartile is 132.5; the third quartile is 142.5. The IQR is 10 (142.5 - 132.5). This value indicates that the values of the middle 50% of the data vary by 10.

  8. YOU TRY

  9. CC Investigation Problem 5.1 (page 47) Part 1 - The Panthers scored the following numbers of points during games this season. Order the data from least to greatest. Give the five number summary: Minimum or lower extreme lower quartile Median Upper quartile Maximum or upper extreme Interquartile range (IQR) c. Draw a number line from 60-100. d. Make your box and draw the whiskers. e. Find the mean, median and mode for the number of points this season.

  10. Part 2 The Panthers scored 96 points in the first game of the playoffs. How do you think this change will affect the mean, median, and mode of the numbers of points scored? Find the new mean, median and mode when you include the first game of the playoffs. How did the mean, median, and mode change? Make a new box plot to include the data for all 23 games. Can you see the changes to the mean, median or mode between the first and second box plots? Explain why or why not. Which of the five-number summary values changed the most?

  11. SUMMARY: Write a two or three sentence summary that explain what a box and whisker plot is and how you construct it. Use appropriate vocabulary words. Add this information to your Study Guide.

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