Histogram

 

What is it?

 

The Histogram is a bar graph of raw data.  The bars represent the frequency of occurrence by classes of data. The histogram shows basic information about the data set, such as central location (mean, median, mode), width of spread (range or standard deviation), and the shape.

 

With the histogram one can gain knowledge about a system.  Knowledge gained from the basic information given by the histogram can aid in improving the system.  A team uses the histogram to assess a system’s current situation and to study results. The histogram’s shape and statistical information help the team know how to improve the system.  After a countermeasure is implemented, the team continues to gather data and make histograms to monitor the effectiveness of the countermeasure. 

 

Why is the Histogram used?

1.    To compare data sets of related value.

2.    To display central location, shape and the spread of the data.

 

How is the Histogram used?

1.    Select the classes by determining the number of classes and  the classes' width .

2.    Record the data by creating a check sheet which list the classes along the left side and tally marks of occurrences along the right.  Total the number of tally marks in each class.

 

The following example of a Histogram is based on the values from our Check Sheet.

 

Category

Frequency

Total

Unexcused absences

Drug and alcohol abuse

Tardiness

Illegal parking

Dress code violation

Vandalism

Class disruption

Fighting and assaults

Speaking out of turn

 

Total

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ll

l

ll

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28

7

33

2

1

2

19

10

3

 

105