1. BOX-and-WHISKER PLOT (Box Plot)
SP.4 Display numerical data in plots on a number line.

2. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
Use the data to make a box-and-whisker plot.

3. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 1: ORDER THE DATA FROM LEAST TO GREATEST. 22 24 27 31 35 38 42

4. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 2: Draw and label a number line for the data set.

5. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 3: Find the least value (also called the lower extreme or minimum). Place a dot above the # line at this value.

6. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 4: Find the greatest value (also called the upper extreme or maximum). Place a dot above the # line at this value.

7. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 5: Find the median. Place a dot above the # line at this value.

8. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 6: Find the first quartile (also known as the lower quartile). Place a dot above the # line at this value.
lower quartile = the median of the lower half of the data

9. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
Step 7: Find the third quartile (also known as the upper quartile). Place a dot above the # line at this value.
Upper quartile = the median of the upper half of the data

10. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
Step 8: Draw a box from the first quartile to the third quartile.

11. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 9: Inside the box, draw a vertical line through the median.

12. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 10: Then draw the “whiskers” from the box to the least and greatest values.

13. Interquartile Range = The range of the middle half of the data.
Third Quartile
– First Quartile
Interquartile Range

14. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
The interquartile range is 14.

15. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
Use the data to make a box-and-whisker plot.
Step 1: Order the data from least to greatest. 67 69 73 75 81 85

16. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
Step 2: Draw and label a number line for the data set.

17. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
Steps 3 and 4: Find the least and greatest values and plot them.

18. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
Step 5: Find the median and plot it. 67 69 73 75 81 85 + 2
=74

19. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
Steps 6 and 7: Find the first quartile and third quartile, and plot both. 67 69 73 75 81 85
first quartile =
= 68 2
third quartile =
= 78 2

20. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots

21. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
Step 8: Draw a box from the first to the third quartile.

22. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 9: Inside the box, draw a vertical line through the median.

23. Box-and-Whisker Plots
Course 2
7-5
Box-and-Whisker Plots
STEP 10: Then draw the “whiskers” from the box to the least and greatest values.

24. ASSIGNMENT: Make a box-and-whisker
plot for the following data set.
19, 46, 37, 16, 24, 47,
23, 19, 31, 25, 42