Box whisker plot
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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

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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)


What is the inter quartile range iqr

What is the Inter Quartile Range (IQR)?

  • Q3-Q1=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


    Box whisker plot

    Special Thanks To…

    • Jordan Armstrong

    • Chantal Alano

    • Trisha Jiang

    • Mrs. Ellwood

    • Honors Algebra Class 


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