How this calculation works
Account for the reduced variation from sampling without replacement from a finite population.
SE=σ/√n × √[(N−n)/(N−1)]A worked example
With σ=10, N=100 and n=25, multiply the ordinary SE of 2 by √(75/99).
Good to know
Assumes simple random sampling without replacement and population variance with divisor N.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Account for the reduced variation from sampling without replacement from a finite population.
The primary result is labeled “Corrected standard error”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Assumes simple random sampling without replacement and population variance with divisor N.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
With σ=10, N=100 and n=25, multiply the ordinary SE of 2 by √(75/99).
Which rule does this calculator apply?
SE=σ/√n × √[(N−n)/(N−1)]