Box Plots. How to create a box plot 1.Put data in numerical order and find the five number summary. 2.Draw a number line, appropriately scaled, to represent.

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Presentation transcript:

Box Plots

How to create a box plot 1.Put data in numerical order and find the five number summary. 2.Draw a number line, appropriately scaled, to represent the data. 3.Plot your five number summary data points. 4.Create a box around Q1 and Q3. 5.Draw a vertical line through Q2. 6.Draw whiskers out to your minimum and maximum.

Example: Find the 5 number summary for this data!! 10, 2, 6, 1, 8, 8, 2, 4, 5, 9, 12, 12, 2, 9

How to Create a Box Plot 10, 2, 6, 1, 8, 8, 2, 4, 5, 9, 12, 12, 2, 9 This is the same set that we just used! Minimum Maximum Q1 MedianQ3

Reading the Box Plot: What is the range of the box plot? What is the median?

New Vocabulary Word Interquartile Range: (IQR) The range between Q1 and Q3 IQR= Q3 – Q1

Reading the box plot What is the IQR of this box plot?

Norcross 10 Day Forecast 42, 49, 52, 57, 53, 52, 47, 43, 44, 52 Boston 10 Day Forecast 17, 21, 19, 25, 27, 35, 33, 34, 29, 32

Step 1) Title your graph “Norcross vs. Boston 10 Day Forecast” Step 2) Find the 5 Number Summary of Norcross and Boston – write this at the top half of your paper Step 3) Draw a number line ranging from at the bottom of your paper Step 4) Using the 5 number summaries you found, graph both box and whisker plots on the same number line

Using your Box and Whisker Graph… Answer the following questions somewhere on your sheet (the back is fine)… 1.Which city has a greater IQR? 2.Which city has a smaller range? 3.Which city has a greater range in quartile 3? 4.Which city has a smaller range in quartile 4? 5.For both graphs, what percentage of data lies below the median? 6.For broth graphs, what percentage of data lies above the Q1?

Classwork Using the 5 number summaries you did for homework last night, create a box plot for each scenario. Find the Interquartile Range for each one

Homework Worksheet