Explain the characteristics of arithmetic mean.
Answers
Answer:
Arithmetic average or mean of series of items is obtained by adding values of the items and dividing 1 by the number of items.
Symbolically,
$\bar { X } =\frac { \Sigma X }{ N } $
The characteristics of Arithmetic Mean :
(i) Easy to compute: The calculation of arithmetic mean is very simple and easy
(ii) Easy to understand : It is very easy to understand even common man can understand it easily.
(iii) Least affected by fluctuations : Its main feature is that it is hardly affected by the changes.
(iv) Based on all the items of series : It is based on all items of series which helps in getting the proper j picture of whole data.
Answer:
The ratio of the total number of observations divided by the sum of all the supplied observations is known as the arithmetic mean. For instance, if there are 5 observations in the data set, the arithmetic mean may be computed by adding all 5 of them and dividing by 5.
Explanation:
Step 1: Properties of Arithmetic Mean:
1) It is rigidly defined. 2) It is based on all the observations. 3) It is easy to comprehend. 4) It is simple to calculate.
Step 2: The departure of each item in a series from its arithmetic mean is equal to zero in algebra. 2: The smallest sum of the squares of the items' deviations from their arithmetic means. 3: The total of all the provided values is equal to the product of the arithmetic mean and the number of observations on which the mean is based.
Step 3: The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
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