1. SWBAT… use and draw charts Thurs, 5/10 Agenda 1. WU (20 min) 2. Box and whisker chart (25 min) Warm-Up: 1. Work on HW#1 and HW#2 for 20 minutes – compare charts with each other

2. Box and Whisker Plot A box and whisker plot is a method of representing data It helps people see where most of the data falls Whiskers BOXES

3. Box and Whisker Plot It shows a picture of data divided into four parts The boxes represent 50% of the data while each whisker represents 25% of the data. The total represented by the entire plot is 100% 25% 50%

4. Drawing a Box and Whisker Plot You must first find 5 things: 1. Lower Extreme 2. Upper Extreme 3. Lower Quartile 4. Median (Quartile 2) 5. Upper Quartile (median of 1 st half) (median of 2 nd half)

5. Example 1 Draw a box and whisker plot for this data: 4, 7, 15, 27, 9, 14, 12, 22, 9, 11, 18 First, we must put these numbers in order from least to greatest.

6. Example 1 Draw a box and whisker plot for this data: 4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27 Now we can find those 5 things that we need.

7. Example 1 Draw a box and whisker plot for this data: 4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27 1.Lower Extreme 2.Upper Extreme 3.Lower Quartile 4.Median (Quartile 2) 5.Upper Quartile

8. Example 1 Draw a box and whisker plot for this data: 4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27 1. Lower Extreme --- 4 2. Upper Extreme --- 27 3. Lower Quartile 4. Median (Quartile 2) 5. Upper Quartile

9. Median (Quartile 2) Let ’ s find the median (Quartile 2) first. It is the median of the entire group of data. What number is in the middle? 4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27

10. Example 1 Draw a box and whisker plot for this data: 4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27 1. Lower Extreme --- 4 2. Upper Extreme --- 27 3. Lower Quartile 4. Median (Quartile 2) --- 12 5. Upper Quartile

11. Lower Quartile Let ’ s find lower quartile next. It is the median of the 1 st half of data. What number is in the middle? 4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27 1 st half

12. Example Draw a box and whisker plot for this data: 4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27 1. Lower Extreme --- 4 2. Upper Extreme --- 27 3. Lower Quartile--- 9 4. Median (Quartile 2) --- 12 5. Upper Quartile

13. Quartile 1 Let ’ s find the Upper Quartile next. It is the median of the 2 nd half of data. What number is in the middle? 4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27 2 nd half

14. Draw a box and whisker plot for this data: 4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27 1. Lower Extreme --- 4 2. Upper Extreme --- 27 3. Lower Quartile --- 9 4. Median (Quartile 2) --- 12 5. Upper Quartile --- 18 Now we can draw a box and whisker plot for this data.

15. Draw a number line that is large enough to include the smallest and largest number.

16. Place a dot on the smallest number and largest number.

17. Draw a vertical line on each quartile.

18. Draw horizontal lines to make the boxes.

19. Connect the least and greatest value to create the whiskers.

20. Here is the completed Box and Whisker Plot!

21. Name the following: 1. Lower extreme: 2. Upper extreme: 3. Lower quartile: 4. Median: 5. Upper quartile:

22. Parts of a Box-and-Whisker Plot 453 21 MedianUpper Quartile Lower Quartile Lower ExtremeUpper Extreme