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Arithmetic Mode

`X_"(mode)" = "value in X that occurs the most"`
`(x)"Numeric observations."`
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Statistics

 NOTE: many vCalc equations are embedded throughout vCalc descriptive pages like this page.  Even though they may not stand out in the text, if you hover over the name of an equation it will likely be linked to the actual executable equation.

The Arithmetic Mode calculator computes the mode (most common value) for a set of comma separated number values (`X_i`). The mode indicates a tendency of the data to be grouped around particular values within the data set.

Inputs

Enter the following:

  • `X_i`: This is the set of comma-separated numeric values (e.g. 4.78,-1.2,8,9.901 )

You can copy and paste your own data set as a list of comma-separated values.

The Math 

The  calculator returns the arithmetic mode for the entered values. This mode is the input value in (`X_i`) that occurs the most often in the data set.

Example

Our example data set is:  

26, 2.2, 22, 4, 22, 4, 17, 17.5, 33.1,17.6, 20, 22, 22, 18.5, 19.9, 26, 13.7, 13.8, 20, 19.9

Since there are 4 occurrences of the value 22 in our data set, and no other value occurs more frequently, the `"Mode" = 22`

If we put this data into a frequency table shown below, the Mode, the most often found value in the data set, becomes obvious.

Try copy/pasting this data set into the vCalc equation.  You should get the same value -- 22.

 Data Value  Frequency
2.2
4
13.7
13.8
17
17.5
17.6
18.5
19.9
20
22
26
33.1		 1
2
1
1
1
1
1
1
2
2
4
2
1

Total: 20

See Also