The harmonic mean and the geometric mean of two numbers are 10 and 12 respectively. What is their arithmetic mean?
14.4
For two numbers, the arithmetic, geometric and harmonic means obey this identity.
\(G^2=AH\Rightarrow A=\frac{G^2}{H}=\frac{12^2}{10}=14.4\)
If \(a_1, a_2, a_3,...,a_n\) are positive real numbers whose product is a fixed number C, then the minimum value of \(a_1+a_2+...+a_n\) is
Let x be the HM and y be the GM of two positive numbers m and n. If 5x = 4y, then which one of the following is correct?
Consider the following statements:
1. cos θ + sec θ can never be equal to 1.5.
2. tan θ + cot θ can never be less than 2.
Which of the above statements is/are correct?Consider the following measures of central tendency for a set of N numbers:
1. Arithmetic mean.
2. Geometric mean.
Which of the above uses/use all the data?
The harmonic mean of two number is 4, Their arithmetic mean A and the geometric mean G satisfy the relation 2A + G 2= 27, then the two numbers are