Display Data

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Display Data

• PS.1.AC.4 Apply probability to real-world
  situations such as weather prediction, game
  theory, fair division, insurance tables, and
  election theory.
• Students will be able to construct a
  box and whiskers plot.

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Box-and Whiskers Plots

• Another way to display data is with a
  box-and-whiskers plot (sometimes called just a
  box plot).
• This shows how data is grouped around the median
  of the data.
• We put dots on the median, upper and lower
  quartiles, the minimum and the maximum.
• We draw a box from the upper to the lower
  quartile, a line through the median, and lines
  from the quartiles to the minimum and maximum.

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Example Box-and-Whiskers Plots

• Lets look at an example During the first 7
  years of Joe Dimaggios career, he hit these
  homeruns 29, 46, 32, 30, 31, 30, 21.
• The data are 29, 46, 32, 30, 31, 30, 21.
• Step 1 put the numbers in order from smallest to
  largest
• 21 29 30 30 31 32
  46

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Example Box-and-Whiskers Plots

• Step 2 divide the data into four groups
• 21 29 30 30 31
  32 46
• Dots go above the minimum, maximum, lower and
  upper quartiles and the median. Make box plot

Put these numbers in your calculator under L1,
and we will learn to make a box plot on your
calculator.
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Calculator Box Plots

• You can make a box plot using your calculator.
• To turn on the box plot instead of a normal
  graph, hit 2nd Y and then ENTER .
• Highlight the On and press ENTER . Then use the
  right arrow key to go over until is
  
• highlighted and press ENTER .
• Exit from this by hitting 2nd and then MODE.
  Then you can access your list by hitting LIST.
  Enter the numbers 21, 29, 30, 30 31, 32, 46

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Calculator Box Plots (cont.)

1. To see your box plot, hit GRAPH .
2. You should set your window large enough to fit
   your data using the Xmin and Xmax. For this
   example, make the Xmin 20 and Xmax 50. Always
   make your Ymin -1 and Ymax 1.
3. To see the Median, Upper Quartile, Lower
   Quartile, Minimum and Maximum, use the TRACE key
   and the right and left arrow keys on the graph.