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# How to Calculate the Coefficient of Variation in SPSS

TheÂ coefficient of variationÂ is a way to measure how spread out values are in a dataset relative to the mean. It is calculated as:

Coefficient of variationÂ =Â Ïƒ /Â Î¼

where:

Ïƒ = standard deviation of dataset

Î¼ = mean of dataset

This tutorial explains how to calculate the coefficient of variation for a dataset in SPSS

### Example: Coefficient of Variation in SPSS

Suppose we have the following dataset that displays the annual income (in thousands) for 15 individuals:

Use the following steps to calculate the coefficient of variation for this dataset in SPSS:

Step 1: Create a column of 1â€™s.

First, we need to create a column of all 1â€™s next to the original dataset:

Step 2: Calculate the coefficient of variation.

Next, click theÂ AnalyzeÂ tab, thenÂ Descriptive Statistics, thenÂ Ratio:

In the new window that pops up, drag the variableÂ incomeÂ into the box labelled Numerator and drag the variableÂ oneÂ into the box labelled Denominator:

Next, clickÂ Statistics. Make sure the boxes are checked next toÂ Mean, Standard deviation, andÂ Mean Centered COV. Then clickÂ Continue.

Lastly, clickÂ OK.

Step 3: Interpret the coefficient of variation.

Once you clickÂ OK, the coefficient of variation for this dataset will be displayed:

We can see that the coefficient of variation for this dataset isÂ 49.3%. This was calculated using the following formula:

CV =Â Â Ïƒ /Â Î¼ * 100 = (29.060/58.933) * 100 =Â 49.3%.