Question

Harmonic mean of the number 1,2,3,6,12

Answer 1

Answer:

7 the for hormonic mean number

Answer 2

Concept

Harmonic mean is a special type of mean and it is defined as the ratio of the number of quantities in the sequence by addition of their reciprocal. For example consider a and b and two quantities then the harmonic mean is calculated as

HM = 2/(1/a + 1/b)

Given

The given sequence of the numbers are 1, 2, 3, 6, 12.

The total numbers in the sequence is 5.

Find

We have to calculate the harmonic mean of the given numbers by using the above formula.

Solution

Since total numbers in the sequence are 5, therefore the harmonic mean will be

HM = 5/(1/1 + 1/2 + 1/3  + 1/6 + 1/12)

= 5/(1 + 5/6  + 1/6 + 1/12)

= 5 * 12/(12 + 10 + 2 + 1)

= 60 / 25

= 2.4

Hence the calculated value of the harmonic mean is 2.4.

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