![]() ![]() On the other hand if the data set is heterogeneous the result may be misleading and may not represent the data. It cannot be located by observations on the graphic method.Īrithmetic mean is a best representative of the data if the data set is homogeneous.It cannot be determined for the qualitative data such as beauty, honesty etc.The mean is unduly affected by the extreme items (outliers).It can be used for further statistical analysis.It is least affected by sampling fluctuations.It is easy to compute and has a unique value.The following the distribution of persons according to different income groups In the short cut method the formula is modified asĪ proof reads through 73 pages manuscript The number of mistakes found on each of the pages are summarized in the table below Determine the mean number of mistakes found per pageįor the computation of A.M for the continuous grouped data, we can use direct method or short cut method. Then the mean for discrete grouped data is defined as (direct method) , x n are discrete values with the corresponding frequencies f 1, f 2, …, f n. The arithmetic mean of average marks is 74.2 That is if d i = x i – AĪ student’s marks in 5 subjects are 75, 68, 80, 92, 56. Under this method an assumed mean or an arbitrary value (denoted by A) is used as the basis of calculation of deviations ( d i ) from individual values. Hence the mean of the number of books is 9 Short-cut Method to find A.M. ![]() The following data represent the number of books issued in a school library on selected from 7 different days 7, 9, 12, 15, 5, 4, 11 find the mean number of books. There are two methods for computing the A.M : , x n represent the values of n observations, then arithmetic mean (A.M.) for n observations is: (direct method) For a raw data, the arithmetic mean of a series of numbers is sum of all observations divided by the number of observations in the series. ![]()
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