Histograms and Stem & Leaf Plots!

What are they?!

Histograms:

A diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
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  • Groups of numbers in how often they appear.
  • The height of each bar shows the size or how frequent each value of the bar occurs in the data.
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Compacts into....

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The range sizes can be changed. This will change the shape of your graph. If you do smaller ranges your graph will be wider, but if you do larger range sizes such as the graph above, your graph will be more compact. This luxury of range change allows you to compact your graph if you have a large amount of data.

Stem and Leaf Plots:

  • Basically show the same data as in a histogram, just with a different visual.
  • It shows the frequency of a value/values within a set of data.

The Same Example As With Histograms....

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What happens?!

  • The left side of the table is what we call the stem and the right side is the leaf.
  • Take the first value 0.1
  • The 0. goes on the left side then the 1 goes on the right. Then since there are multiple values that begin with 0., you just add the second number in the value (the 1) on the right side. As seen in the example.
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  • This is not as compact as the histogram but it does allow you to see the individual data values unlike in a histogram.
  • It also allows you to pinpoint any patterns that may happen in the data.

Works Cited

Loveland, Sarah . "Histograms and Stem and Leaf Plots." IB Math Studies . Bedford High School. Bedford High School, Bedford. 17 Oct. 2012. Class lecture.

Set Up

  • Take The Average Length of Guppies and put it on your x-axis.
  • Take your Frequency and put it in your y-axis.
  • Fill in your scales.