Relation Between AM, GM and HM | Class 11 Math | JEE 2025 Preparation | LIVE | @InfinityLearn-JEE

Unlock the secrets of Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM) with our detailed Class 11 Math video! Perfect for JEE 2025 prep, this session clarifies their relationships and applications to boost your understanding and exam performance. Ace your studies with Infinity Learn JEE.

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The relationship between AM, GM, and HM is GM2 = AM * HM if AM, GM, and HM are the arithmetic mean, geometric mean, and harmonic mean, respectively.

The arithmetic mean of two numbers is defined as the sum of the numbers divided by the number of numbers. Similarly, in a collection, the arithmetic mean is defined as the sum of the numbers in the collection divided by the number of numbers in the collection. Arithmetic progression is another term that is closely related to the arithmetic mean.

The geometric mean is a mathematical formula used to calculate the average of a set of numbers. The geometric mean is calculated by multiplying each number in the set by its corresponding inverse and then taking the product of all of the results. The geometric mean is then equal to the square root of the product of the individual inverse values.

The harmonic mean is a mathematical calculation that is used to determine the average of a set of numbers. This calculation takes into account the reciprocals of the numbers in the set, and then finds the harmonic mean of those reciprocals. This calculation is often used when comparing two different sets of data, as it can provide a more accurate representation of the average than the arithmetic mean.

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►What is the relation of AM HM and GM?
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