Question

Daily income of ten families of a particular place is given below : Find geometric mean and

harmonic room.

85, 70, 15, 75, 500, 8, 45, 250, 40, 36​

Answer 1

Answer:

Geometric mean is defined as the nth root of the product of n observations or values.

If there are two observations, we take the square root; if there are three observations we have to take the cube root and so on

where X 1 , X2 , X 3 ,...., Xn refer to the various items of the series which are all greater than zero and n refers number of observations.

Thus the geometric mean of 3 values 2,3,4 would be

When the number of items is three or more the task of multiplying the numbers and of extracting the root becomes excessively difficult. To simplify calculations, logarithms are used. Geometric mean is calculated as follows:

(i) In discrete observation

(ii) In Continuous observation