Important Formula: Averages CAT Notes | EduRev

Quant : Important Formula: Averages CAT Notes | EduRev

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  • Simple Average = Important Formula: Averages CAT Notes | EduRev
  • Weighted Average = Important Formula: Averages CAT Notes | EduRev
  • Arithmetic Mean = (a1 + a2 + a3 ….an) / n
  • Geometric Mean =Important Formula: Averages CAT Notes | EduRev
  • Harmonic Mean = Important Formula: Averages CAT Notes | EduRev

For two numbers a and b

⇒ AM = (a + b)/2

Important Formula: Averages CAT Notes | EduRev

EduRev's Tip: 

  • AM ≥ GM ≥ HM is always true. They will be equal if all elements are equal to each other. If I have just two values then GM2 = AM x HM
  • The sum of deviation (D) of each element with respect to the average is 0 

    ⇒ D = (x1 - xavg) + (x2 - xavg) + (x3 - xavg) ... + (x1 - xavg) = 0

  • 𝑥avg =  (xassumed avg + (Deviation/No. of elements))

Median of a finite list of numbers can be found by arranging all the observations from lowest value to highest value and picking the middle one.
Mode is the value that occurs most often


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