This is our **statistics calculator** that you can use for calculating statistical values like mean, population and sample standard deviation, geometric mean and several others. Most of the values are described in detail in their own specific calculators on the website. So, if you are looking to calculate some of the most common statistical values then use this calculator without an issue.

Let's take a look at a couple of values that you can calculate with our **statistics calculator**.

Geometric Mean

In mathematics, it's sort of an average which makes use of product of values in the set for indicating the central tendency. That's not like arithmetic mean which gives same result but by using sum of values in a given set of data instead of their products. Geometric mean turns out to be quite a useful way of calculating the mean value when the numbers you are comparing have large variations in them. Just consider a car being rated on a 0-5 scale for its fuel efficiency, and on 0-100 scale for its safety. In case of arithmetic mean, the vehicle's safety would have way more weight, as a little percentage change on larger scale can lead to a bigger difference as compared to a major percentage change on smaller scale.

The change in the rating of fuel efficiency from 2 to 5 reflects a 250 percent increase but that would overshadow by 6.25 percent change in rating from 80 to 85 in case if we just consider arithmetic mean. Now this thing is taken into account by geometric mean as it normalizes the ranges that are averaged and, as a result, none of given ranges dominate in their weighting. Dissimilar to arithmetic mean, a given change in the percentage in geometric mean will have same effect on geometric mean. Here is the equation that our **statistics calculator** would use for calculating geometric mean.

In this equation, i refers to the index which indicates the values' location in the set, and xi refers to individual values while N is number of total values out there. i=1 means starting index. Above notation means multiplying all the values in given set of data through to nth value and, finally, taking product's nth root.

Geometric mean is applied in lots of different areas like proportional growth, aspect rations, social sciences, finance, and geometry among many others. Also, just like other different statistical values it can offer quite useful information if you use it in proper contexts.
Most other values that this **statistics calculator** can calculate for you may be learned about in their respective calculators on this site.

How It Works

Like most of the other similar calculators, the statistics calculator requires you to enter a set of values separated by commas and then hit calculate button. It performs the calculations and give you results for total numbers, summation, mean, sum of squares for the given values, mean of squares for the given values, sample standard deviation and its variance, population standard variation and its variance, and the geometric mean.

So, if you want to find out any of the above mentioned values, use our statistics calculator and get the most accurate results possible.