CAT Exam > CAT Notes > Additional Study Material for CAT > Important Formula: Averages
Important Formula: Averages | Additional Study Material for CAT PDF Download
- Simple Average =
- Weighted Average =
- Arithmetic Mean = (a1 + a2 + a3 ….an) / n
- Geometric Mean =
- Harmonic Mean =
For two numbers a and b
⇒ AM = (a + b)/2
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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