Αποτελέσματα Αναζήτησης
Learn what is harmonic mean in statistics, how to calculate it, and its applications. Harmonic mean is the reciprocal of the average of the reciprocals of the data values, and it gives more weight to the smaller values.
- Geometric Mean
The most important measures of central tendencies are mean,...
- 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.
In mathematics, the harmonic mean is a kind of average, one of the Pythagorean means. It is the most appropriate average for ratios and rates such as speeds, [1] [2] and is normally only used for positive arguments. [3]
24 Ιαν 2024 · The harmonic mean in statistics is one of the Pythagorean means that is used to measure the central tendencies of the data set. It is defined as the ratio of the number of elements of the data set to the sum of the reciprocal values of the data set.
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).
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:
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.
