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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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

Door Side


Wall side

Wall Side


Steps for constructing a histogram
Steps for constructing a histogram 29 Cincinnati Reds who have an at bat this time in the 2014 season.

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 29 Cincinnati Reds who have an at bat this time in the 2014 season.

What is the range of our data?

What would be a good class size to choose?

What are the classes?


2nd step
2nd Step 29 Cincinnati Reds who have an at bat this time in the 2014 season.

Fill in a frequency table and a relative frequency table.


3rd step

  • 2013 29 Cincinnati Reds who have an at bat this time in the 2014 season.

  • 2014

  • Relative Frequency

  • Relative Frequency

3rd step

  • Batting Average

  • Batting Average


Describe the data of the batting average for your year only

  • 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 29 Cincinnati Reds who have an at bat this time in the 2014 season.


How does class size effect the shape of the histogram

How does class size effect the shape of the histogram?


Last pieces of advice about histograms

  • 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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