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AVI Calculator Online

The AVI Calculator helps determine the average absolute deviation of values from the mean. This measurement provides insights into the variability and consistency of data, making it useful for analysts, researchers, and quality control professionals. By calculating AVI, users can assess how much individual values deviate from the average, helping to identify patterns and outliers.

Formula of AVI Calculator

To calculate the Absolute Value Index (AVI), use this formula:

Steps to Calculate AVI:

1. Calculate the Mean: Mean = (sum of all values) / (number of values)
• Sum all the values.
• Divide the sum by the number of values.
2. Find the Absolute Deviation of Each Value from the Mean: Absolute Deviation = absolute value of (each value – mean)
• Subtract the mean from each value.
• Take the absolute value of each deviation.
3. Sum the Absolute Deviations: Sum of Absolute Deviations = sum of all absolute deviations
• Add all the absolute deviations together.
4. Calculate AVI: AVI = (sum of absolute deviations) / (number of values)
• Divide the sum of absolute deviations by the number of values.

This formula provides the AVI, which is a measure of the average absolute deviation of values from the mean.

Example of AVI Calculator

Let’s calculate the AVI for the following set of values: 2, 4, 6, 8, 10.

1. Calculate the Mean: Mean = (2 + 4 + 6 + 8 + 10) / 5 = 6
2. Find the Absolute Deviations: |2 – 6| = 4 |4 – 6| = 2 |6 – 6| = 0 |8 – 6| = 2 |10 – 6| = 4
3. Sum the Absolute Deviations: 4 + 2 + 0 + 2 + 4 = 12
4. Calculate AVI: AVI = 12 / 5 = 2.4