Averages - Complete Guide for SSC Exams

Average Concepts

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Basic Formula

Average = Sum of observations/Number of observations

Sum = Average × Number of observations

Important Properties

  1. If all numbers increase by x, average increases by x
  2. If all numbers are multiplied by x, average is multiplied by x

Weighted Average

Weighted Avg = (w1×a1 + w2×a2 + ...)/(w1 + w2 + ...)

Solved Example

Question: Average of 5 numbers is 20. If one number 15 is replaced by 30, find new average.

Solution:

Increase = 30 - 15 = 15
Increase in avg = 15/5 = 3
New average = 20 + 3 = 23