Transcript Construct a Box-and

Main Idea and New Vocabulary
NGSSS
Example 1: Construct a Box-and-Whisker Plot
Example 2: Interpret Data
Five-Minute Check
• Display and interpret data in a box-and-whisker
plot.
• box-and-whisker plot
MA.8.S.3.1 Select, organize and construct
appropriate data displays, including box
and whisker plots, scatter plots, and lines of
best fit to convey information and make
conjectures about possible relationships.
Construct a Box-and-Whisker Plot
ENVIRONMENT Use the data in the table below
to construct a box-and-whisker plot.
Construct a Box-and-Whisker Plot
Find the measures of variation and the least and
greatest value in the data.
The least value in the data is 39.1.
The lower quartile is 63.9.
The median is 74.1.
The upper quartile is 81.8.
The greatest value is 95.5.
The interquartile range is 81.8 – 63.9 or 17.9.
Multiply the interquartile range by 1.5.
17.9 × 1.5 = 26.85
Construct a Box-and-Whisker Plot
Since there are no values 26.85 less than the lower
quartile or 26.85 greater than the upper quartile,
there are no outliers in the data.
Draw the box-and-whisker plot.
Step 1
Draw a number line that includes the least
and greatest numbers in the data.
Construct a Box-and-Whisker Plot
Step 2
Mark the extremes, the median, and the
upper and lower quartile above the number
line. Check for outliers. If an outlier exists,
mark the greatest value that is not an
outlier. Use an asterisk (*) to indicate an
outlier. It is not connected to a whisker.
Step 3
Draw the box and the whiskers.
lower
quartile
minimum
value
median
upper
quartile
maximum
value
Construct a Box-and-Whisker Plot
Answer:
ENTERTAINMENT Use the data below to construct a
box-and-whisker plot.
prices of movie tickets: $8.50, $7.00, $12.00, $9.50,
$9.00, $8.00, $8.50, $7.00, $6.00, $4.00
A.
B.
C.
D.
Interpret Data
WATERFALLS What does the length of the
box-and-whisker plot tell you about the data?
Answer: Data in the second quartile are slightly
more spread out than the data in the third
quartile. You can see that data in the
fourth quartile are more spread out
because the whisker is longer than the
other parts of the plot.
ENVIRONMENT What
Environmental Performance Index
does the length of the
box-and-whisker plot tell
you about the data?
A.
Data in the first quartile are more spread out than the
data in the second quartile.
B.
Data in second quartile are more spread out than the
data in the first quartile.
C.
Data in third quartile are more spread out than the
data in the first quartile.
D.
Data in fourth quartile are less spread out than the
data in the third quartile.
Construct a box-and-whisker plot for the data set.
17, 23, 24, 27, 30, 31, 32, 38, 43, 45, 46
A.
B.
C.
D.
Construct a box-and-whisker plot for the data set.
51, 59, 67, 70, 76, 44, 52, 63, 69, 73, 99
A.
B.
C.
D.
Which set of data has the greater range?
Set 1: 17, 23, 24, 27, 30, 31, 32, 38, 43, 45, 46
Set 2: 51, 59, 67, 70, 76, 44, 52, 63, 69, 73, 99
A. set 1
B. set 2
Twenty-five percent of the data in the
box-and-whisker plot below is found between
which two values?
A. 5 and 25
B. 20 and 35
C. 20 and 60
D. 35 and 60