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

**Coefficient of variation**Â =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%**.