6th Grade Math Textbook, Progress

(Marvins-Underground-K-12) #1

Box-and-Whisker Plots


9-7


Use the box-and-whisker plot above.


  1. How many quartiles or values 2. Which characteristic of a box-and-
    are needed to divide the data into whisker plot can be used to
    four parts? determine the range of the data?

  2. About how much of the data are 4. If each score was tripled, how
    in the box? would the shape of the box change?


The data set shows student scores from a 120-point reading test.
A box-and-whisker plot can be used to show the data distribution.

A box-and-whisker plot includes a number line that shows
the extremes (greatest and least) numbers, the median, and
the quartile divisions. A box is drawn on top of the second
and third quartiles. The whiskers show the first and fourth quartiles.

To make a box-and-whisker plot:
Order the data from least to
greatest.

Find the median. Then find
the upperand lowerquartiles,
which are the middle values
of each half of the data.

Display the extremes, quartiles,
and median as points above
a number line.

Draw a boxthat ends at the
lower and upper quartiles.
Then draw a vertical line segment
through the box at the median.

Draw horizontal line segments,
called whiskers, from the ends
of the box to the lower and
upper extremes.

Write a title for the plot.

50 60 80
100 90 70
70 110 90

Scores

50, 60, 70, 70, 80, 9 0, 9 0, 100, 110

40 50 60 70 80 90 100 110 120

lower
extreme

lower
extreme

lower
quartile

lower
quartile

median

median

before median

upper
quartile

upper
quartile

upper
extreme

upper
extreme

after median

90  100
2

60  (^70)  95
2
 65
40 50 60 70 80 90 100 110 120
whisker box whisker
Reading Test Scores
8206-2_304-305 10/12/07 6:47 PM Page 304

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