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)

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 7 th 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.)  What is the interquartile range (IQR) of this data set? Q1 = 1.25 Q3 = 3.75 Median = 2.75 Max. = 6Min. = 1 Hours of Electronics Used Per Day Interquartile range: =2.5

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= 2.75

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 and 3, 3, 3, 3, 4.5, 4.5, 5, 6  The median of the lower quartile is:  Q1 = ( )/2 = 1.25  The median of the upper quartile is:  Q3 =( )/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  5c3NjaG9vbHMub3Jn/section/Box-and- Whisker-Plots/ 5c3NjaG9vbHMub3Jn/section/Box-and- Whisker-Plots/  xwhisk.htm xwhisk.htm  /box-whisker-plot.html /box-whisker-plot.html  let_me_try/g6/mh132.html let_me_try/g6/mh132.html

Special Thanks To…  Jordan Armstrong  Chantal Alano  Trisha Jiang  Mrs. Ellwood  Honors Algebra Class