1 / 24

California Standards

California Standards. SDAP1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data.

aradia
Download Presentation

California Standards

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. California Standards SDAP1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data. SDAP1.3 Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set.

  2. Objective: Today we will display and analyze data in box-and-whisker plots.

  3. APK Teacher I do 1. Order the test scores from least to greatest: 89, 93, 79, 87, 91, 88, 92. 2. Find the median of the test scores. 79, 87, 88, 89, 91, 92, 93 89 Students complete: Find the median of the following test scores? 65, 75, 92, 90, 74, 86, 98 We will need to know how to find the median in order to make box and whisker plots.

  4. Vocabulary lower quartile upper quartile box-and-whisker plot minimum maximum

  5. A box-and-whiskerplot shows the distribution of data. The middle half of the data is represented by a “box” with a vertical line at the median. The box extends to the upper and lower quartiles. The upper quartile is the median of the upper half of the data. The lower quartile is the median of the lower half of the data. 78 85 88 88 89 90 92 Data set: 85,92,78,88,90,88,89 Lower quartile Median Upper quartile What is a box-and-whisker plot? What are the upper and lower quartiles?

  6. The lower fourth and upper fourth quarters are represented by “whiskers” that extend to the minimum (least) and maximum (greatest) values. 78 85 88 88 89 90 92 Data set: 85,92,78,88,90,88,89 Median Upper quartile Lower quartile What are minimum and maximum values?

  7. The table below summarizes a cat breeder’s records for kitten litters born in a given year. You can divide the data into four equal part using quartiles.

  8. Upper quartile: 5 median of upper half Lower quartile: 3 median of lower half Median: 4 You know that the median of a data set divides the data into a lower half and an upper half. The median of the lower half is the lower quartile, and the median of the upper half is the upper quartile. Kitten Data Lower half Upper half 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6

  9. Upper quartile: 5 median of upper half Lower quartile: 3 median of lower half Median: 4 You know that the median of a data set divides the data into a lower half and an upper half. The median of the lower half is the lower quartile, and the median of the upper half is the upper quartile. Kitten Data Lower half Upper half 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6

  10. A What letter is the _____? F E D Lower half Upper half 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 B c How do you know?

  11. Importance Why do we need to know how to display and analyze data in box-and-whisker plots ? *It helps you to interpret and represent data. *It gives a visual representation of data. Tell your partner which reason is most important to you. You can use one of mine or one of your own. p/s - volunteers

  12. Find the lower and upper quartiles for the data set. • Order the data from least to greatest. • Find the median. • Find the median of the lower half – lower quartile • Find the median of the upper half – upper quartile I do A. 15, 83, 75, 12, 19, 74, 21 Order the values. 12 15 19 21 74 75 83 lower quartile: 15 upper quartile: 75 How did I find the lower and upper quartiles?

  13. Find the lower and upper quartiles for the data set. 63 + 75 2 lower quartile: = 69 79 + 88 2 upper quartile: = 83.5 • Order the data from least to greatest. • Find the median. • Find the median of the lower half – lower quartile • Find the median of the upper half – upper quartile • We do B. 75, 61, 88, 79, 79, 99, 63, 77 Order the values. 61 63 75 77 79 79 88 99

  14. Find the lower and upper quartiles for the data set. • Order the data from least to greatest. • Find the median. • Find the median of the lower half – lower quartile • Find the median of the upper half – upper quartile • We do A. 25, 38, 66, 19, 91, 47, 13 Order the values. 13 19 25 38 47 66 91 lower quartile: 19 upper quartile: 66

  15. Find the lower and upper quartiles for the data set. 33 + 45 2 lower quartile: = 39 49 + 59 2 upper quartile: = 54 • Order the data from least to greatest. • Find the median. • Find the median of the lower half – lower quartile • Find the median of the upper half – upper quartile • You do B. 45, 31, 59, 49, 49, 69, 33, 47 Order the values. 31 33 45 47 49 49 59 69

  16. 15 + 17 2 21 + 21 2 upper quartile: = 21 lower quartile: = 16 19 + 19 2 median: = 19 I do: Additional Example 2: Making a Box-and-Whisker Plot Use the given data to make a box-and-whisker plot. 21, 25, 15, 13, 17, 19, 19, 21 Step 1. Order the data from least to greatest. Then find the minimum, lower quartile, median, upper quartile, and maximum. 13 15 17 19 19 21 21 25 minimum: 13 maximum: 25

  17. 12 14 16 18 20 22 24 26 28 I do (cont.) Additional Example 2 Continued Use the given data to make a box-and-whisker plot. Step 2. Draw a number line and plot a point above each value from Step 1. 13 15 17 19 19 21 21 25

  18. 12 14 16 18 20 22 24 26 28 I do (cont.) Additional Example 2 Continued Use the given data to make a box-and-whisker plot. Step 3. Draw the box and whiskers. 13 15 17 19 19 21 21 25

  19. 31 + 33 2 24 + 26 2 upper quartile: = 32 lower quartile: = 25 29 + 31 2 median: = 30 We do Check It Out! Example 2 Use the given data to make a box-and-whisker plot. 31, 23, 33, 35, 26, 24, 31, 29 Step 1. Order the data from least to greatest. Then find the minimum, lower quartile, median, upper quartile, and maximum. 23 24 26 29 31 31 33 35 minimum: 23 maximum: 35

  20. 22 24 26 28 30 32 34 36 38 We do (cont.) Check It Out! Example 2 Continued Use the given data to make a box-and-whisker plot. Step 2. Draw a number line and plot a point above each value. 23 24 26 29 31 31 33 35

  21. 22 24 26 28 30 32 34 36 38 We do (cont.) Check It Out! Example 2 Continued Use the given data to make a box-and-whisker plot. Step 3. Draw the box and whiskers. Step 2. Draw a number line and plot a point above each value. 23 24 26 29 31 31 33 35

  22. Step 1. Order the data from least to greatest. Then find the minimum, lower quartile, median, upper quartile, and maximum. Step 2. Draw a number line and plot a point above each value. Step 3. Draw the box and whiskers. Additional Guided Practice: With partners: Page 544 #1 You do: Page 544 #2

  23. Closure What uses upper and lower quartiles, the median, the maximum, and the minimum to show a set of data? Find the lower and upper quartiles for each data set. 1. 48, 52, 68, 32, 53, 47, 51 lower = 47; upper = 53

  24. 78 87 91 94 98 Closure (cont.) Use the following data for problems 3 and 4. 91, 87, 98, 93, 89, 78, 94 3. Make a box-and-whisker plot. What did you learn today about box-and-whisker plots?

More Related