#The artmatic mean series#
Any large or small value in the series can change the value of the arithmetic mean. The series need to be converted before calculating mean.ĪFFECTED BY EXTREME VALUES: The most serious demerit of mean is that it is too much affected by the extreme values in the data. In this case, the value is known as Fictitious average.ĬANNOT BE CALCULATED FOR OPEN END SERIES: Arithmetic Mean cannot be calculated if we have open end class intervals. MAY NOT BELONG TO SERIES: Sometime the value of mean does not belong to the series. Whereas median and mode can be determined graphically. By taking a glance of the data, one cannot tell about the value of arithmetic mean.ĬANNOT BE LOCATED GRAPHICALLY: Mean cannot be determined graphically. NOT LOCATED BY INSPECTION: Mean is not located by inspection. There is no way to calculate the mean of qualitative aspects like intelligence, poverty, honesty etc. NOT SUITABLE FOR QUALITATIVE DATA: Arithmetic Mean is not calculated if the data is not expressed in quantitative terms. That is why it is used to compare the various issues from one place to another. LEAST AFFECTED BY SAMPLING FLUCTUATIONS: Arithmetic mean is most stable average as it is least affected by sampling fluctuations.īEST SUITABLE FOR COMPARISON: Arithmetic Mean has rigid mathematical properties and it the stable average. That is why the value of mean truly represents the series.īASIS FOR OTHER STATISTICAL METHODS: Arithmetic Mean is used as a base for other statistical measures like measures of dispersion, measures of skewness, correlation, regression etc because it has rigid mathematical properties.ĪLGEBRAIC TREATMENT: Arithmetic mean is capable of further algebraic treatment. RIGIDLY DEFINED: The value of mean is rigidly defined as the calculations are based on the mathematical properties and as such there is no scope for misinterpretation.ĮASY TO UNDERSTAND AND SIMPLE TO CALCULATE: It is easily understandable and simple to calculate which makes it most commonly used measure of central tendency.īASED ON ALL OBSERVATIONS: Arithmetic mean takes into consideration all the values of the series. Mean, the value of arithmetic mean remains the same.Īrithmetic mean is always less than that of the other measures of central This means that for any value of the assumed Mean is also increased, decreased, multiplied or divided by the same constant. Series are increased, decreased, multiplied or divided by the some constant the If the means of different series along with the number of items is given then combined arithmetic mean can be calculated. This proves that the product of the mean with the number of items is always equal to sum of all the items. If each item is replaced by the mean the sum of the item of series will be the same as the sum of those means. Sum of the squares of the deviations from mean is always the least. The sum of the deviations of the items from the actual mean is always zero (0). The important mathematical properties of mean are:
It means all the values are taken into consideration while calculating simple mean. SIMPLE ARITHMETIC MEAN: In case of simple arithmetic mean, all the values are given equal importance. In case of Discrete series and Continuous series, the values of the frequencies are also taken into account.
Thus mean is calculated by adding values of all the items and dividing their total by the number of items. Sum of value of items in a series by their numbers.” “The arithmetic mean is the amount secured by dividing the It is an important and most commonly used measure of central tendency.
STEPS TO CALCULATE WEIGHTED ARITHMETIC MEANĪrithmetic Mean is the number which is obtained by adding the values of all the items of a series and dividing the total by the number of items.