10/5/2023 0 Comments Calculate geometric meanWhat are the Merits and Demerits of Harmonic Mean? It is the reciprocal of the arithmetic mean of the reciprocal terms in a given set of observations. Harmonic mean is not the reciprocal of the arithmetic mean. Is Harmonic Mean the Reciprocal of Arithmetic Mean? The HM will always have a lower value than the geometric mean. To find the harmonic mean (HM) we divide n by the sum of the reciprocals of the terms. When we have a data set, the geometric mean can be determined by taking the n th root of the product of all the n terms. What is the Difference between Geometric Mean and Harmonic Mean? Then we divide the total number of terms (n) in the data set by this value.We first take the sum of the reciprocals of each term in the given data set.Thus, the formula for the harmonic mean of a and b is 2ab/a + b How to Calculate Harmonic Mean? If we want to find the harmonic mean of two non-zero numbers a and b then we use the general formula with n = 2. Then the formula for weighted harmonic mean is given as follows: Let x 1, x 2, x 3.x n be the set of observations and w 1, w 2, w 3.w n be the corresponding weights. Weighted harmonic mean is used when we want to find the average of a set of observations such that equal weight is given to each data point. The extreme values in a series greatly affect the harmonic mean.If any term of the given series is 0 then this mean cannot be calculated.The method to calculate the harmonic mean can be lengthy and complicated. Given below are other demerits of harmonic mean. In case of unknown elements, we cannot determine the harmonic mean. To calculate this mean, all elements of the series must be known.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |