1 2 displaying quantitative data with graphs
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1.2 - Displaying quantitative data with graphs. (Histograms). Histograms. The most common graph of quantitative data. (not the most convenient) Classes: the intervals along the bottom axis. These need to be of equal width Frequency: the count of individuals of a class occurring

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1.2 - Displaying quantitative data with graphs

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1 2 displaying quantitative data with graphs

1.2 - Displaying quantitative data with graphs

(Histograms)


Histograms

Histograms

The most common graph of quantitative data.

(not the most convenient)

Classes: the intervals along the bottom axis.

These need to be of equal width

Frequency: the count of individuals of a class occurring

Relative frequency: the percent of the individuals in a class

(this is more useful, especially when you are comparing two sets of data with an unequal total of individuals)


Door side

  • The following table represents the battings averages for the 25 Cincinnati Reds who have an at bat this time in the 2013 season.

Door Side


Wall side

  • The following table represents the battings averages for the 29 Cincinnati Reds who have an at bat this time in the 2014 season.

Wall Side


Steps for constructing a histogram

Steps for constructing a histogram

1st - divide the range of data into class of equal width.

2nd - find the count and percent of individuals in each class.

3rd - label and scale your axes

4th - draw your histogram


1st step

1st step

What is the range of our data?

What would be a good class size to choose?

What are the classes?


2nd step

2nd Step

Fill in a frequency table and a relative frequency table.


3rd step

  • 2013

  • 2014

  • Relative Frequency

  • Relative Frequency

3rd step

  • Batting Average

  • Batting Average


Describe the data of the batting average for your year only

  • Don’t forget your “SOCS!”

  • The histogram shows that the batting ranged from __________

  • The data appears to be _______ with a peak of _____ .

  • The center of the data occurs around ______

Describe the data of the batting average for YOUR year only!

  • The _____ appear to be any outliers.


Now let s compare the batting averages from 2013 and 2014

Now let’s COMPARE the batting averages from 2013 and 2014


How does class size effect the shape of the histogram

  • www.whfreeman.com/tps4e

How does class size effect the shape of the histogram?


Last pieces of advice about histograms

  • 2. Don’t use the counts or percents as the data. Use the data to find the counts and percents for your graph.

  • 3. Use percents instead of counts when comparing distributions with different numbers of observations.

Last Pieces of advice about histograms

  • 4. Just because a graph looks nice, doesn’t mean it’s necessarily a meaningful display of data.

  • (Excel is a terrible tool to use for statistical graphs)

1. Don’t confuse histograms and bar graphs

Histograms are for quantitative data

Bar graphs are for categorical data


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