Plot the polygon distribution of the weighted mean annual interest rate on loans for the reporting month for these banks.Ø Weighted mean annual interest rate on loans, % , Weighted mean of annual interest rate on loans, % The volume of loans and the weighted mean of annual interest rate on loans from 20 banks for the reporting month were: The more its size, the more disorder of values of the features around the average meaning, that the set on structure is less homogeneous.
With the size of the coefficient of variation it is possible to judge about the degree of variation of the features in the investigated set. The coefficient of variation in the sample.
The coefficient of variation in the general set Unlike the dispersion the standard deviation is an absolute measure of variation and it is expressed in terms of measurement of a varying feature (tenge, tons, percent, etc.)įor comparison of the sizes of the variation of various features, and also for calculation of a degree of variation of the same features in the studied set the relative parameter of a variation – the coefficient of variation, which represents percentage of a standard deviation to average arithmetic, is estimated by the following: The standard deviation in the general set The standard deviation represents a root square of a dispersion: Where: is the sample average, n is the number of units in a sample, k is the number of groups. The simple dispersion (not weighted) in the There are the formulae for calculating dispersion in the sample: Where: μ is the general average, N is the number of units in the general set, k is the number of groups. The weighted dispersion in the general set, The simple dispersion (not weighted) in There are the formulae for calculating the dispersion in the general set: The dispersion is the average arithmetic squares of deviations of separate values from their arithmetic average.ĭepending on the initial data the dispersion is calculated under the formula of average arithmetic simple or weighted.
#Volume weighted standard deviation series#
The median in the discrete variation series of distribution is defined by the sum of the cumulated frequencies which should exceed half of all volume of units of population.įor measurement of a degree variability of the separate values from their average we calculate the basic generalizing parameters of a variation: a dispersion, standard (an average quadratic) deviation and coefficient of variation. For discrete numbers of distribution the mode is a variant with the greatest frequency.Īs the median refers to a variant, located in the middle of the ordered set of data, the median divides it into two equal parts. The mode is the value of feature which is the most often met in the studied set. In such cases the general average is defined as arithmetic average weighted of group averages, thus in weights are number of units in groups. In statistics it is necessary to calculate averages by variants which perform grouped averages. The average size is the generalizing characteristic of set of units on chosen grouping feature, for example, the size of the average annual interest rate calculated for each bank from the investigated set of banks. to formulate the conclusions derived from the received data. to give economic interpretation of the received numerical characteristics
#Volume weighted standard deviation how to#
to learn how to build series of distribution of annual interest rates for an accounting period on the investigated set of banks to study how to calculate the average annual interest rate, modal and median values of the annual interest rate, a dispersion, a standard deviation and indicators of variation of the annual interest rate on the set of banks The educational purpose is to solve the problems on calculation of average sizes and parameters of variation, and it consists of the following:
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