box & whisker plot chantal alano, trisha jiang, jordan armstrong period 1
TRANSCRIPT
Box & Whisker PlotChantal Alano, Trisha Jiang, Jordan ArmstrongPeriod 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)
What is the Inter Quartile Range (IQR)?
Q3-Q1=IQR
Example 7, 7, 9, 9, 10, 10, 11, 11, 12, 13 Used to find number of sled dogs left
competing in race
Data Necessary Single Sets Multiple Sets Numerical
Real Life Data Data was collected from Arcola’s 7th
grade Honors Algebra classHours 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.) What is the interquartile range (IQR) of
this data set?
Q1 = 1.25
Q3 = 3.75
Median = 2.75 Max. = 6 Min. = 1
Hours of Electronics Used Per Day
Interquartile range: 3.75-1.25=2.5
How to Make a Box PlotHere 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, 5Order the numbers
1, 1, 1, 1, 1.5, 2, 2, 2.5, 3, 3, 3, 3, 4.5, 4.5, 5, 6Find 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.)Find the medians of the upper and
lower quartiles1, 1, 1, 1, 1.5, 2, 2, 2.5 and 3, 3, 3,
3, 4.5, 4.5, 5, 6The median of the lower quartile is:
Q1 = (1 + 1.5)/2 = 1.25The median of the upper quartile is:
Q3 =(3 + 4.5)/2 = 3.75
How to Make a Box Plot (cont.)
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”
Hours of Electronic Used Per Day
Advantages & Disadvantages
Advantages Able to tell median,
range, lower quartile, upper quartile, minimum, and maximum
Not cluttered with too much information
Can show outliers
Disadvantages Doesn’t show
specific numbers Doesn’t show
subtle changes Can’t identify the
original numbers used in the data set
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
Special Thanks To… Jordan Armstrong
Chantal Alano
Trisha Jiang
Mrs. Ellwood
Honors Algebra Class