k intervalo sistemática

N/n.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

k
20,00

About this calculator

The systematic sampling interval (k) calculator determines a fixed periodic spacing for selecting elements from a population. Given the total population size (N) and desired sample size (n), the interval is calculated as k = N/n. This method is effective when the population is randomly ordered or pattern-free, ensuring an even distribution of sampling.

To use the calculator, input the total number of population elements and the required sample size. The result (k) shows the selection period. For example, if N=1000 and n=100, the interval becomes k=10, selecting one element every 10 items. The starting point is randomly chosen between 1 and k.

This approach is suitable when simple random sampling is impractical, such as in ordered lists or continuous processes. However, caution: if the population has cyclical patterns, systematic sampling may introduce biases. Always verify data randomness before applying this method.

Frequently asked questions

What if the population size isn't divisible by the sample size?

Round the k value to the nearest integer or adjust the sample size to ensure divisibility. For example, if N=100 and n=13, k=7.69. Round to k=8 and adjust n to 12 or 13 elements.

How to choose the random starting point?

Use a random number generator to select a value between 1 and k. For example, if k=10, generate a number between 1 and 10 to begin periodic selection.

Is systematic sampling more accurate than simple random sampling?

Not necessarily. While systematic sampling is practical, simple random sampling eliminates biases provenly. Use systematic sampling only if the population is randomly ordered.

When should this method be avoided?

Avoid it in populations with cyclical or periodic patterns, as periodic selection may capture these patterns, creating biased samples.

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