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Box & Whisker Plot

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Box & Whisker Plot

Chantal Alano, Trisha Jiang, Jordan Armstrong

Period 1

- Used when there is a large amount of data
- Shows:
- Median(Q2)
- Minimum
- Maximum
- Lower Quartile(Q1)
- Upper Quartile(Q3)
- Sometimes outliers
- Inter Quartile Range (IQR)

- Q3-Q1=IQR

- 7, 7, 9, 9, 10, 10, 11, 11, 12, 13
- Used to find number of sled dogs left competing in race

- Single Sets
- Multiple Sets
- Numerical

- Data was collected from Arcola’s 7th grade Honors Algebra class
Hours of Electronics Used Per Day

- 2.5, 4.5, 4.5, 1, 1.5, 1, 3, 2, 1, 6, 3, 2, 3, 1, 3, 5

- Whatis the interquartile range (IQR) of this data set?

Hours of Electronics Used Per Day

Q1 = 1.25

Q3 = 3.75

Median = 2.75

Max. = 6

Min. = 1

Interquartile range: 3.75-1.25=2.5

Here is an example of a set of numbers collected.

- 2.5, 4.5, 4.5, 1, 1.5, 1, 3, 2, 1, 6, 3, 2, 3, 1, 3, 5

- 1, 1, 1, 1, 1.5, 2, 2, 2.5, 3, 3, 3, 3, 4.5, 4.5, 5, 6

- 1, 1, 1, 1, 1.5, 2, 2, 2.5, 3, 3, 3, 3, 4.5, 4.5, 5, 6
- Q2= (2.5 + 3)/2= 2.75

- Find the medians of the upper and lower quartiles
- 1, 1, 1, 1, 1.5, 2, 2, 2.5 and3, 3, 3, 3, 4.5, 4.5, 5, 6
- The median of the lower quartile is:
- Q1 = (1 + 1.5)/2 = 1.25

- The median of the upper quartile is:
- Q3 =(3 + 4.5)/2 = 3.75

Hours of Electronic Used Per Day

- Plot:
- Median = 2.75
- Q1 = 1.25
- Q3 = 3.75
- Maximum = 6
- Minimum = 1

- Draw tick marks indicating median, Q1, Q3, minimum, and maximum
- Draw box around median, Q1, and Q3
- Connect box to maximum and minimum endpoints to create “whiskers”

Advantages

Disadvantages

Doesn’t show specific numbers

Doesn’t show subtle changes

Can’t identify the original numbers used in the data set

- Able to tell median, range, lower quartile, upper quartile, minimum, and maximum
- Not cluttered with too much information
- Can show outliers

- http://www.ck12.org/user:amhhdGVydEB5c3NjaG9vbHMub3Jn/section/Box-and-Whisker-Plots/
- http://www.purplemath.com/modules/boxwhisk.htm
- http://www.vertex42.com/ExcelTemplates/box-whisker-plot.html
- http://www.edu.gov.mb.ca/k12/tech/lict/let_me_try/g6/mh132.html

Special Thanks To…

- Jordan Armstrong
- Chantal Alano
- Trisha Jiang
- Mrs. Ellwood
- Honors Algebra Class