Module 9.3

Histograms and Box Plots

P. 401

How can you interpret and compare data sets using data displays?

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How is a Histogram different from a Bar Graph?Histogram Bar Graph

1 The bars touch The bars do not touch

2 Each bar represents a range of values Each bar represents a single value or category

3 Used to display quantitative data Used to display categorical data

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Create a frequency table from the data. Then use the frequency table to create a histogram.

Listed are the ages of the 100 U.S. senators at the start of the 112th Congress on January 3, 2011.

39, 39, 42, 44, 46, 47, 47, 47, 48, 49, 49, 49, 50, 50, 51, 51, 52, 52, 53, 53, 54, 54, 55, 55, 55, 55, 55, 55, 56, 56, 57, 57, 57, 58, 58, 58, 58, 58, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 61, 61, 62, 62, 62, 63, 63, 63, 63, 64, 64, 64, 64, 66, 66, 66, 67, 67, 67, 67, 67, 67, 67, 68, 68, 68, 68, 69, 69, 69, 70, 70, 70, 71, 71, 73, 73, 74, 74, 74, 75, 76, 76, 76, 76, 77, 77, 78, 86, 86, 86

Create a frequency table. The data values range from 39 to 86, so use an interval width of 10 and start the first interval at 30.

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(𝑚1 * 𝑓1) + (𝑚2 * 𝑓2) + … + (𝑚𝑛 * 𝑓𝑛)

𝑓1 + 𝑓2 + … + 𝑓𝑛Estimated Mean =

Where: 𝒎𝟏 is the midpoint of the 1st interval,𝒇𝟏 is the frequency of the 1st interval,𝒎𝟐 is the midpoint of the 2nd interval,𝒇𝟐 is the frequency of the 2nd interval,𝒎𝒏 is the midpoint of the last interval,𝒇𝒏 is the frequency of the last interval,𝒏 is the number of bars

𝐼𝑛𝑡𝑒𝑟𝑣𝑎𝑙𝑆𝑡𝑎𝑟𝑡 + 𝐼𝑛𝑡𝑒𝑟𝑣𝑎𝑙𝐸𝑛𝑑Midpoint =2

P. 404(𝑚1 * 𝑓1) + (𝑚2 * 𝑓2) + … + (𝑚𝑛 * 𝑓𝑛)

𝑓1 + 𝑓2 + … + 𝑓𝑛Estimated Mean =

P. 404(𝑚1 * 𝑓1) + (𝑚2 * 𝑓2) + … + (𝑚𝑛 * 𝑓𝑛)

𝑓1 + 𝑓2 + … + 𝑓𝑛Estimated Mean =

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P. 407

You can plot two box plots above a single number line to compare two data sets.

The tables show the total gross earnings, in dollars, for the top 10 movies of 2013 and 2012.

Find the five needed values, rounded to the nearest hundred million. P. 408

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