What is harmonic mean of ungrouped data?
Harmonic Mean is defined as the reciprocal of the arithmetic mean of reciprocals of the observations. (a) H.M. for Ungrouped data (b) H.M. for Discrete Grouped data: (c) H.M. for Continuous data: Harmonic Mean (H.M.) Harmonic Mean is defined as the reciprocal of the arithmetic mean of reciprocals of the observations.
What is meant by harmonic mean?
The harmonic mean is a type of numerical average. It is calculated by dividing the number of observations by the reciprocal of each number in the series. Thus, the harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.
What is the formula of harmonic means?
The general formula for calculating a harmonic mean is: Harmonic mean = n / (∑1/x_i) Where: n – the number of the values in a dataset. x_i – the point in a dataset.
What are the properties of harmonic mean?
The Harmonic Mean (HM) is defined as the reciprocal of the average of the reciprocals of the data values.. It is based on all the observations, and it is rigidly defined. Harmonic mean gives less weightage to the large values and large weightage to the small values to balance the values correctly.
What is harmonic mean in PDF?
The Harmonic Mean (HM) is defined as the reciprocal of the arithmetic mean of the given data values. It is based on all the observations, and it is rigidly defined. Harmonic mean gives less weightage to the large values and large weightage to the small values to balance the values properly.
What is the harmonic mean of two numbers?
Harmonic Mean of two numbers is an average of two numbers. In particular, Let a and b be two given numbers and H be the HM between them a, H, b are in HP. Hence, H = 2 1 a + 1 b i .
What is the harmonic mean of any two numbers?
How harmonic mean differ from arithmetic mean?
The difference between the harmonic mean and arithmetic mean is that the arithmetic mean is appropriate when the values have the same units whereas the harmonic mean is appropriate when the values are the ratios of two variables and have different measures.
Why harmonic mean is better than arithmetic mean?
The arithmetic mean is appropriate if the values have the same units, whereas the geometric mean is appropriate if the values have differing units. The harmonic mean is appropriate if the data values are ratios of two variables with different measures, called rates.
What is the harmonic mean of A and B?
Harmonic Mean of a and b is given by HM = 2ab/(a+b).