# If the AM and GM for 10 observations are both 15 then the value of harmonic mean......?

##### 1 Answer

Jun 8, 2018

15 (Assuming all the observations are nonnegative)

#### Explanation:

The generalized AM-GM theorem says that if

with equality holding only when

Thus, in this case, all the observations (assumed non-negative) must be 15, and their harmonic mean must be the same.