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Combined Mean – Formula and Examples

Here you will learn what is combined mean formula and how to find combined mean with examples.

Let’s begin –

Combined Mean Formula

If ¯x1 and ¯x2 be the means of two groups having n1 and n2 terms respectively then the mean(combined mean) of their composite group is given by

Combined mean = n1¯x1+n2¯x2n1+n2

If there are more than two groups then, combined mean = n1¯x1+n2¯x2+n3¯x3+..n1+n2+n3+.

Also Read : What is the Formula for Mean Median and Mode

Example : There are three sections A, B and C in class X with 25, 40 and 35 students respectively. The average marks obtained by section A, B and C are 70%, 65% and 50% respectively. Find the average marks of the entire class X.

Solution : n1 = 25            x1 = 70%

n2 = 40                x2 = 65%

n3 = 35               x3 = 505

ˉx = n1¯x1+n2¯x2+n3¯x3n1+n2+n3

= (25×70)+(40×65)+(35×50)25+40+35

= 1750+2600+1750100 = 6100100 = 61%

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