Arithmetic Mode
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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
- To compute the observation statistics for a set including min, max, mean, mid-point, median, count, population and sample variance and standard deviation, CLICK HERE.
- To sort a list of numeric values, CLICK HERE.
- To create a random subset of the a list of numeric values, CLICK HERE.
- Click here to see hundreds of statistics topics on vCalc
- Click here to apply some of the simplest statistics
- Start here with the basics of elementary statistics
- Click here to get a simplified view of mathematics
- Click here to understand the basic concept of Quantization
- Click here to read about frequency distributions
- Begin with the math of measuring central tendencies
- Click here to see basic psychology statistics
- Click here to see the category of Statistics in vCalc content
- Peruse the category of Engineering Probability and Statistics
- Try the Mean calculation
- Try the Median calculation
- Try the Mode calculation
- Try the Range calculation
- Try the Min calculation
- Try the Max calculation
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