# Simple Sample Size Calculator

The calculator found below will compute the sample size given the population size, margin of error and confidence level.

We are trying to determine, out of a group (whose number is the population size) of people, how many should be surveyed to accurately determine the percentage who would choose a particular answer for a survey question. Since it is usually not possible to survey everyone in the entire group, only some (the sample size) are interviewed. If the sample group truly represents the whole population, then the sample percentage (which can be measured) will be no further from the population percentage (which is generally unknown so here we choose a value of 50%) than the margin of error, with a certain confidence level.

To use this calculator, enter numbers into the boxes above the Calculate button, then click on the Calculate button to see the result underneath.

Further information about the calculations within this calculator may be found at sample size calculations.

## Observations

- This sample size calculator does not require an estimate of the population percentage. Since less information is known about the population, the resulting sample size is a conservatively high value.
- Choosing a very small margin of error (to get more accurate results) can cause the sample size to grow dramatically.
- As the population decreases below 386, the sample size grows progressively higher than half the population (assuming 95% and 5% for the confidence level and margin of error respectively).
- As the population increases above 386, the sample size grows progressively lower than half the population (assuming 95% and 5% for the confidence level and margin of error respectively).