box-and-whisker plots & dot plots. how to read a box-and-whisker plot. dots outside of the box...
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Box-and-whisker plots & Dot Plots
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How to read a box-and-whisker plot.• Dots outside of the box
and whiskers are outliers.• Maximum and minimum
values are shown at the ends of each whisker.
• The upper and lower quartiles are the ends of the box.
• The median is the line in the middle of the box.
Outlier
Minimum
Lower quartile
Median
Upper quartile
Maximum
Outlier
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Example 1• Ruby asked the students in her class how long their
families spent making dinner each night. This box-and-whisker plot shows the results.
Find the following values:Minimum: LQ: Maximum: UQ:Range: Interquartile Range: Median:
20 25 50 45
30 20 35
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Practice Problem 1
• A professor asked her students to keep track of how many websites they visit each day. This box-and-whisker plot shows the results.
Find the following values:Minimum: LQ: Maximum: UQ:Range: Interquartile Range: Median:
4 5 10 8
6 3 7
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How to read dot plots
• The dots above each number represent a number in the data set.
• If dots are stacked on top of each other, that means that the value occurs more than once.
• Labeling the axis is key to determining the numbers in the data set.
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Example 2• From the dot plot below, you can see that there
are few values near the maximum and minimum values.
• There are clusters of values between 64 and 80. • You can infer that for this dot plot, most
people’s pulses were between 64bpm and 80 bpm.
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Comparing two dot plots• The dotplots to the right show pet
ownership in two city blocks. • As seen in the graph, pet
ownership in block a is lower.– In block a, the amount of pets that people
own ranges between 0 and 4.
• In block b, most households have two or more pets. – In block b, the amount of pet ranges
between 0 and 6.
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Practice Problem
• The dot plot below shows the age of actors and actresses who win awards. Make a prediction about the ages of actresses and actors in the dot plots below.
Actresses win more awards than actors at a younger age. Actors win more awards than actresses at an older age.