Question

The A.M. of two observations is 25 and their G.M.is 15. Find their H.M. and the two observations

Answer 1

ANSWER:

=9

Step-by-step explanation:

AM of two observation a and b is 25

a+b/2=25

a+b=50

GM of two observation a and b is 15

√ab=15

ab=225

HM of two observation a and b is

2ab/a+b

2(225)/50. [from above AM and GM]

=9

Answer 2

Answer:

HM = 9

Step-by-step explanation:

For any given numbers , their means ,

Arithmetic mean (AM) , Geometric mean (GM)

And Harmonic Mean (HM)

AM = 25

GM = 15

HM = ?

are related by the relation

GM² = AM *HM

so,

15² = 25*HM

225 = 25*HM

225 / 25 = HM

9= HM

HM = 9

HM of two observation is 9