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Box & Whisker Plot. Chantal Alano, Trisha Jiang, Jordan Armstrong Period 1. What is a Box & Whisker Plot?. 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).

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box whisker plot

Box & Whisker Plot

Chantal Alano, Trisha Jiang, Jordan Armstrong

Period 1

what is a box whisker plot
What is a Box & Whisker Plot?
  • 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)
example
Example
  • 7, 7, 9, 9, 10, 10, 11, 11, 12, 13
  • Used to find number of sled dogs left competing in race
data necessary
Data Necessary
  • Single Sets
  • Multiple Sets
  • Numerical
real life data
Real Life Data
  • 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
real life data cont
Real Life Data (cont.)
  • 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

how to make a box plot
How to Make a Box Plot

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
  • Order the numbers
    • 1, 1, 1, 1, 1.5, 2, 2, 2.5, 3, 3, 3, 3, 4.5, 4.5, 5, 6
  • Find the median of the set
    • 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
how to make a box plot cont
How to Make a Box Plot (cont.)
  • 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
how to make a box plot cont1
How to Make a Box Plot (cont.)

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
Advantages & Disadvantages

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
research page work cited
Research Page/ Work Cited
  • 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
slide13

Special Thanks To…

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