Geometric Mean Calculator With Variables

In statistics and probability theory a random variable is said to have a geometric distribution only if its probability density function can be expressed as a function of the probability of success and number of trials.

Geometric mean calculator with variables. What this formula is saying in english is. An online statistical geometric mean calculator to find the geometric mean value of the given numbers or statistical data when all the quantities have the same value. Geometric distribution formula table of contents formula. The formula is equivalent to.

However arithmetic mean is better suited in the situation wherein variables being used for calculation are not dependent on each other. The geometric mean is the correct way to calculate the return on investment for a specific time period since the returns on investment for a portfolio over years are interdependent. In this form the mean refers to an intermediate value between a discrete set of numbers namely the sum of all values in the data set divided by the total number of values. The geometric mean can be used to calculate average rates of return in finances or show how much something has grown over a specific period of time.

Multiply your items together and then take the nth root where n is the number of items. The geometric mean is the average of a relevant set of quantities multiplied together to produce a product. You can also use the logarithmic functions on your calculator to solve the geometric mean if you want. In its simplest mathematical definition regarding data sets the mean used is the arithmetic mean also referred to as mathematical expectation or average.

The geometric mean and by extension a geometric mean calculator can be useful in many other situations. The excel geomean function calculates the geometric mean. The general formula for the geometric mean of n numbers is the nth root of their product. Where n is the total number of values and x i x 2 x 1.

Formally the geometric mean is defined as the nth root of the product of n numbers in other words for a set of numbers x ni 1 the geometric mean is. By using this website you agree to our cookie policy. X n are the individual numbers in the data set. In order to find the geometric mean multiply all of the values together before taking the nth root where n equals the total number of values in the set.

It s the n th root of the product of n values. For example the geometric mean is the only correct mean when averaging normalized results 1 which are any results that are presented as ratios to a reference value or values. This calculator uses the following formula to calculate the geometric mean.