Make use of this free Mean Deviation Calculator tool to get the mean deviation of numbers quickly. All you have to do is provide data set numbers in the input section and click on the calculate button. Our handy calculator does all the required calculations and produces the exact output in a short span of time.

**Mean Deviation Calculator: **Do you feel bothered while solving the mean deviation? No need to worry, we have come up with an excellent user friendly tool i.e Mean Deviation Calculator. Take the help of this online tool to solve mean deviation of any number of values. This page is designed in such a way that people can understand the concept easily and solve problems effortlessly. So, we have mentioned the detailed explanation to get the mean deviation along with solved examples.

Here is the simple method to solve the mean deviation of numbers. Go through the steps to get your solution easily.

- Take a data set having n numbers.
- Find mean i.e sum of numbers in the data set / total number of numbers in the data set.
- Calculate the difference between the each term in data set and mean to get the new values.
- Compute the mean of new numbers to get the mean deviation value.

The formula to compute the mean deviation is given below.

Mean deviation = ∑_{i = 0}^{n} |x_{i} − μ| / N

Where, μ is the mean

N is the number of values

|| mean the absolute value

**Example**

**Question: Find the Mean Deviation of 3, 6, 6, 7, 8, 11, 15, 16?**

**Solution:**

Given numbers are 3, 6, 6, 7, 8, 11, 15, 16

Mean = Sum of items/ Number of items

= 3 + 6 + 6 + 7 + 8 + 11 + 15 + 16 / 8 = 72 / 8

μ = 9

Mean Deviation = ∑_{i = 0}^{n} |x_{i} − μ| / N

= |(9 - 3) + (9 - 6) + (9 - 6) + (9 - 7) + (9 - 8) + (9 - 11) + (9 - 11) + (9 - 15) + (9 - 16)| / 8

= 6 + 3 + 3 + 2 + 1 + 2 + 6 + 7 / 8

= 30 / 8

= 3.75

So, Mean is 9 and Mean deviation is 3.75.

**1. What is meant by absolute mean deviation?**

The mean deviation is a measure of dispersion, a measure of by how much the values in the data set are likely to differ from their mean. Absolute value is used to avoid deviations with opposite signs.

**2. What is the difference between mean absolute deviation and standard deviation?**

Mean is nothing but the average of data points. Mean deviation is calculating the deviation of each data point from the mean. Since distance is not expressed in negative we are treating negative deviations as positive. Standard deviation is also calculated using mean. But is the square root of square of the difference between data point and mean divided by number of data points.

**3. Where we use Mean Deviation in our life?**

Many professionals use mean in their daily life. Teachers give test to students and then calculate the average of results to see if the average score ID high or medium or low. Absolute deviation can further help to see the distance between each of the scores and the beginning average scores.

**4. Where can I find the best math calculator tools?**

Onlinecalculator.guru is a trustworthy website that is having free online calculations regarding various mathematical concepts.