Average and Age: Properties of Average, Formula and Tricks with Problem (Question) and Solutions


The average of given quantities is defined as the sum of quantities divided by number of quantities. It is denoted by A or x .

Ex. Find the average of following numbers.

               232,149 208,301,399,415

A. 296

B. 284

C. 272

D. 260

Properties of Average

1. If all the given numbers are added, subtracted, multiplied or divided by a non-zero number a, then their average will be also added, subtracted ,multiplied or divided by a.

2. Average of given data is less than the greatest observation and greater than the smallest observation.

3. If 0 is one of the observation of a given data, then that 0 will also be included while calculating average.

Important Formulae

Formula 1

Formula 2

Formula 3

Formula 4

Formula 5

Formula 6

Formula 7

Formula 8

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