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MBA Entrance, Quantitative Aptitude, Averagers, Module 3

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Hi, in this session we are going to look at other methods of computing means you’re already aware of arithmetic mean which is simple average and also weighted average Now there are other methods of computing mean apart from these two let us look at what are they the first one is nothing but geometric mean now how do we compute Geometric mean of in values what we need to do is we need to take the product of these n values and take the end root and that is how we compute the geometric mean simply multiply the n values and take the nth root right let’s take it look at it from examples let’s say we have to compute the geometric mean of 10, 20 and 30 as per the rule what are we suppose to do well multiply these 3 values 10 into 20 into 30 and take the cube root because there are three values will take the cube root now what is 10 into 20 into 30 is 6000 so the final answer would be 6000 cube root of that now you already know that I can split 6000 as 6 into 1000 and what is cube root of 1000 well cube root of thousand is 10 right now you can always split it this way and 10 goes out and we get 10 into cube root of 6 and that is the geometric mean of 10, 20 and 30 I hope you understood geometric mean let us now look at the next mean and that is nothing but harmonic mean have you heard of this first ok how do you compute harmonic mean of n values simple divide n by sum of the reciprocals of the n values as in n/1/n1+1/n2+1/n3 and all the way till n n so your adding the reciprocals of these n values that’s your denominator and number values are in numericals there n values so there will in the power of numerical that’s harmonic mean right for example what is the harmonic mean of 4, 8 and 9

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