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In this article, you will learn one of the important types of mean called “Harmonic Mean” with the definition, formula, and examples in detail. Table of Contents: Harmonic Mean Definition
- Geometric Mean
The mean defines the average of numbers. The different types...
- Geometric Mean
The harmonic mean is a numerical mean and is a measure of central tendency. It is useful in calculating the average of rates and ratios. Understand harmonic mean along with its formula and solved examples.
Harmonic Mean. The harmonic mean is: the reciprocal of the average of the reciprocals. Yes, that is a lot of reciprocals! Reciprocal just means 1 value. The formula is: Where a, b, c, ... are the values, and n is how many values. Steps: Calculate the reciprocal (1/value) for every value.
The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals of the numbers, that is, the generalized f-mean with () =. For example, the harmonic mean of 1, 4, and 4 is
Harmonic mean is a type of average that is calculated by dividing the number of values in a data series by the sum of the reciprocals (1/x_i) of each value in the data series. A harmonic mean is one of the three Pythagorean means (the other two are arithmetic mean and geometric mean).
24 Ιαν 2024 · Harmonic Mean is the type of mean that is used when we have to find the average rate of change, it is the mean calculated by taking the reciprocal values of the given value and then dividing the number of terms by the sum of the reciprocal values.
Definition. Suppose one is given data that are to be weighted by their reciprocals. In that case, one might consider a mean with the property that k k times the reciprocal of the mean equals the sum of the reciprocals of the values:
