Skip to main content
Statistics LibreTexts

11: Sample Size to Estimate a Population Mean

  • Page ID
    19750
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    Sample Size to Estimate a Population Mean 

    This calculator calculates the sample size needed to estimate a population mean. Please report the error to Dr. Jessica Kuang at jkuangATvcccd.edu.

    To learn how to use this calculator, please watch a short video here.

     

    Input

    Fill in the population standard deviation (\(\sigma\)), the error bound (E), and the confidence level (CL).  Write the confidence level as a decimal.  For example, for a 95% confidence level, enter 0.95  for CL.  Then hit Calculate and assuming the population is normally distributed, the necessary sample size will be shown.

    Standard Deviation (\(\sigma\)):   Error Bound (E, enter a decimal):   Confidence Level (enter a decimal):    

     

    Output

    Sample Size (n):  

    (Powered by Desmos)


    11: Sample Size to Estimate a Population Mean is shared under a CC BY license and was authored, remixed, and/or curated by LibreTexts.

    • Was this article helpful?