母標準偏差計算機

共有リンク

はじめに

Population Standard Deviation Calculator — Compute the population standard deviation of a dataset. Enter Dataset (comma-separated) to get an instant, accurate result.

計算式

Population standard deviation: σ = √(Σ(x−mean)² / N), the square root of the population variance.

ステップごとの説明

Enter the Dataset (comma-separated).
Click Calculate to see your result instantly.

実例

Example: With Dataset (comma-separated) = 2, 4, 4, 4, 5, 5, 7, 9, the Population Standard Deviation Calculator gives Population Std Dev: 2, Mean: 5.

よくある質問

When is population standard deviation correct to use?

Only when your dataset represents every member of the group you care about, not a sample drawn from a larger population.

How does this differ from sample standard deviation?

It divides the sum of squared deviations by N instead of N−1, which gives a slightly smaller value than the sample version.

What inputs does the Population Standard Deviation Calculator need?

You'll need to provide: Dataset (comma-separated). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.

How accurate is the Population Standard Deviation Calculator?

The Population Standard Deviation Calculator applies the formula exactly as calculated — Population standard deviation: σ = √(Σ(x−mean)² / N), the square root of the population variance. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.

Is the Population Standard Deviation Calculator free to use?

Yes, the Population Standard Deviation Calculator is completely free, requires no signup, and runs instantly in your browser.