Question

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assumed mean simple definition
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Answer 1

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In statistics the assumed mean is a method for calculating the arithmetic mean and standard deviation of a data set. It simplifies calculating accurate values by hand. Its interest today is chiefly historical but it can be used to quickly estimate these statistics.

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Answer 2

In statistics, the assumed mean method is used to calculate mean or arithmetic mean of a grouped data. If the given data is large, then this method is recommended rather than a direct method for calculating mean. This method helps in reducing the calculations and results in small numerical values. This method depends on estimating the mean and rounding to an easy value to calculate with. Again this value is subtracted from all the sample values. When the samples are converted into equal size ranges or class intervals, a central class is chosen and the computations are performed.

Assumed Mean Method Formula

Let x1, x2, x3,…,xn are mid-points or class marks of n class intervals and f1, f2, f3, …, fn are the respective frequencies. The formula of the assumed mean method is:

Assumed mean formula

Here,

a = assumed mean

fi = frequency of ith class

di = xi – a = deviation of ith class

Σfi = n = Total number of observations

xi = class mark = (upper class limit + lower class limit)/2

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