Calculate harmonic-mean-of-2_4_8

Calculate mean, median, mode, standard deviation, variance and more — step by step.

Data

Answer

-24

Find the harmonic mean of 3 values:

-2, 4, 8

The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals. It is useful for averaging rates (speed, efficiency, price-to-earnings).

H = n / (1/x₁ + 1/x₂ + ... + 1/xₙ)

Step 1 — Calculate each reciprocal

1/-2 = -0.5

14 = 0.25

18 = 0.125

Step 2 — Sum the reciprocals

Σ(1/xᵢ) = -0.5 + 0.25 + 0.125 = -0.125

Step 3 — Divide n by the sum

H = 3 / -0.125 = -24

For comparison: Arithmetic mean = 3.3333, Harmonic mean = -24. The harmonic mean is always ≤ arithmetic mean.

Harmonic Mean = -24

How to calculate harmonic-mean-of-2_4_8

To find the result of the given data set, apply the statistical formula and follow the steps shown above.

This is a Statistics — statistical calculation

Frequently asked questions

What is the answer to harmonic-mean-of-2_4_8?
The answer is -24.

What method is used?
Statistical functions like mean, median, mode, and standard deviation summarize a dataset into a single representative value.

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