Harmonic Mean of Reciprocal of First N Natural Numbers Calculator

✖Total Numbers is the total count of numbers in the set of numbers of which mean value is to be calculated.ⓘ Total Numbers [n]

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✖Harmonic Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values.ⓘ Harmonic Mean of Reciprocal of First N Natural Numbers [HM]

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Formula

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Harmonic Mean of Reciprocal of First N Natural Numbers

Formula

`"HM" = 2/("n"+1)`

Example

`"0.333333"=2/("5"+1)`

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Harmonic Mean of Reciprocal of First N Natural Numbers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Harmonic Mean = 2/(Total Numbers+1)
HM = 2/(n+1)
This formula uses 2 Variables

Variables Used

Harmonic Mean - Harmonic Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values.
Total Numbers - Total Numbers is the total count of numbers in the set of numbers of which mean value is to be calculated.

STEP 1: Convert Input(s) to Base Unit

Total Numbers: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

HM = 2/(n+1) --> 2/(5+1)

Evaluating ... ...

HM = 0.333333333333333

STEP 3: Convert Result to Output's Unit

0.333333333333333 --> No Conversion Required

FINAL ANSWER

0.333333333333333 ≈ 0.333333 <-- Harmonic Mean

(Calculation completed in 00.004 seconds)

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Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

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< 6 Harmonic Mean Calculators

Harmonic Mean of Four Numbers

Go Harmonic Mean = 4/(1/First Number+1/Second Number+1/Third Number+1/Fourth Number)

Harmonic Mean of Two Numbers

Go Harmonic Mean = (2*First Number*Second Number)/(First Number+Second Number)

Harmonic Mean of Three Numbers

Go Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number)

Harmonic Mean of N Numbers

Go Harmonic Mean = Total Numbers/Harmonic Sum of Numbers

Harmonic Mean given Arithmetic and Geometric Means

Go Harmonic Mean = (Geometric Mean^2)/Arithmetic Mean

Harmonic Mean of Reciprocal of First N Natural Numbers

Go Harmonic Mean = 2/(Total Numbers+1)

Harmonic Mean of Reciprocal of First N Natural Numbers Formula

Harmonic Mean = 2/(Total Numbers+1)
HM = 2/(n+1)

What is Harmonic Mean?

Harmonic Mean is basically the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values. It is calculated by dividing the total count of numbers by the harmonic sum or the sum of reciprocals of the numbers. In many situations involving rates and ratios, the Harmonic Mean provides the correct average.

How to Calculate Harmonic Mean of Reciprocal of First N Natural Numbers?

Harmonic Mean of Reciprocal of First N Natural Numbers calculator uses Harmonic Mean = 2/(Total Numbers+1) to calculate the Harmonic Mean, The Harmonic Mean of Reciprocal of First N Natural Numbers formula is defined as the average value or mean which signifies the central tendency of the set of reciprocal of first n natural numbers by finding the reciprocal of their values. Harmonic Mean is denoted by HM symbol.

How to calculate Harmonic Mean of Reciprocal of First N Natural Numbers using this online calculator? To use this online calculator for Harmonic Mean of Reciprocal of First N Natural Numbers, enter Total Numbers (n) and hit the calculate button. Here is how the Harmonic Mean of Reciprocal of First N Natural Numbers calculation can be explained with given input values -> 0.333333 = 2/(5+1).

FAQ

What is Harmonic Mean of Reciprocal of First N Natural Numbers?

The Harmonic Mean of Reciprocal of First N Natural Numbers formula is defined as the average value or mean which signifies the central tendency of the set of reciprocal of first n natural numbers by finding the reciprocal of their values and is represented as HM = 2/(n+1) or Harmonic Mean = 2/(Total Numbers+1). Total Numbers is the total count of numbers in the set of numbers of which mean value is to be calculated.

How to calculate Harmonic Mean of Reciprocal of First N Natural Numbers?

The Harmonic Mean of Reciprocal of First N Natural Numbers formula is defined as the average value or mean which signifies the central tendency of the set of reciprocal of first n natural numbers by finding the reciprocal of their values is calculated using Harmonic Mean = 2/(Total Numbers+1). To calculate Harmonic Mean of Reciprocal of First N Natural Numbers, you need Total Numbers (n). With our tool, you need to enter the respective value for Total Numbers and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Harmonic Mean?

In this formula, Harmonic Mean uses Total Numbers. We can use 5 other way(s) to calculate the same, which is/are as follows -

Harmonic Mean = (2*First Number*Second Number)/(First Number+Second Number)
Harmonic Mean = (Geometric Mean^2)/Arithmetic Mean
Harmonic Mean = Total Numbers/Harmonic Sum of Numbers
Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number)
Harmonic Mean = 4/(1/First Number+1/Second Number+1/Third Number+1/Fourth Number)

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