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Calculator.net
calculator.net › home › math › standard deviation calculator
Standard Deviation Calculator
When used in this manner, standard deviation is often called the standard error of the mean, or standard error of the estimate with regard to a mean. The calculator above computes population standard deviation and sample standard deviation, as well as confidence interval approximations.
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Statology
statology.org › home › sample size calculator for a mean
Sample Size Calculator for a Mean
January 14, 2021 - To find the sample size required to estimate a population mean, simply fill in the boxes below and then click the “Calculate” button. Confidence Level · Desired Margin of Error · Population standard deviation · Sample Size: 35 · Zach Bobbitt · Hey there. My name is Zach Bobbitt.
People also ask

What does a standard deviation of 1 mean?

If we're in front of a normal distribution, a standard deviation of 1 (σ = 1) means that 68.27% of the distribution values lie within one standard deviation from the mean. In mathematical notation: Pr( μ-1σXμ+1σ) ≈ 68.27%.

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omnicalculator.com
omnicalculator.com › statistics › standard-deviation-sample-mean
Standard Deviation of Sample Mean Calculator
What is the standard deviation of the sample means called?

The standard deviation of the sample means is called by different names:

  • The standard deviation of the mean.
  • The standard deviation of the distribution of sample means.
  • The standard deviation of the sampling distribution of the sample mean.

Mathematically, you calculate the standard deviation of the sample mean with the formula σX̄ = σ/√n.

The standard error of the mean (SE(X̄)) is a different statistic that uses the sample standard deviation (s) instead of σ. Its formula is SE(X̄) = s/√n.

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omnicalculator.com
omnicalculator.com › statistics › standard-deviation-sample-mean
Standard Deviation of Sample Mean Calculator
How do I find the mean and standard deviation of the sampling distribution?
  • To find the standard deviation of the sample mean (σX̄), divide the population standard deviation (σ) by the square root of the sample size (n): σX̄ = σ/√n.
  • Contrary to the standard deviation, to calculate the mean of the sampling distribution of the mean (μX̄), you only need the population mean (μ), as they are both the same (μX̄ = μ).
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omnicalculator.com
omnicalculator.com › statistics › standard-deviation-sample-mean
Standard Deviation of Sample Mean Calculator
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Omni Calculator
omnicalculator.com › statistics › standard-deviation-sample-mean
Standard Deviation of Sample Mean Calculator
January 18, 2024 - Use this tool to calculate the standard deviation of the sample mean, given the population standard deviation and the sample size.
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CalculatorSoup
calculatorsoup.com › calculators › statistics › standard-deviation-calculator.php
Standard Deviation Calculator
November 4, 2025 - When working with data from a complete population the sum of the squared differences between each data point and the mean is divided by the size of the data set, n. When working with a sample, divide by the size of the data set minus 1, n - 1.
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UBC Statistics
stat.ubc.ca › ~rollin › stats › ssize › n1.html
Power/Sample Size Calculator
Choose which calculation you desire, enter the relevant values for mu0 (known value), mu1 (mean of the population to be sampled), and sigma (standard deviation of the sampled population) and, if calculating power, a sample size. You may also modify α (type I error rate) and the power, if relevant.
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Ausvet
epitools.ausvet.com.au › onemean
Epitools - Sample size to estimate a single mean with sp ...
This utility calculates the sample size required to estimate a population mean with a specified level of confidence and precision. Inputs are the assumed population standard deviation, the desired level of confidence and the desired precision of the estimate.
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Alcula
alcula.com › calculators › statistics › standard-deviation
Standard Deviation Calculator
Online calculator to compute standard deviation from a set of observations from a population or a sample.
Find elsewhere
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Surveyking
surveyking.com › help › standard-deviation-calculator
Standard Deviation & Variance Calculator | SurveyKing
Standard deviation and variance tells you how much a dataset deviates from the mean value. Compute the standard deviation, variance, and the mean of a data set with our online calculator.
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Statulator
statulator.com › SampleSize › ss1M.html
Sample Size Calculator for Estimating a Mean
A free on-line calculator that estimates sample sizes for a mean, interprets the results and creates visualizations and tables for assessing the influence of changing input values on sample size estimates.
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University of Vienna
homepage.univie.ac.at › robin.ristl › samplesize.php
Sample size calculator
Calculate Sample size Power (output decimal places: ) Advanced Unequal sample sizes Account for drop-outs Bonferroni correction · Mean 1 · Mean 2 · Mean difference · Standard deviation · Standard deviation 2 ·
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Qualtrics
qualtrics.com › articles & news › sample size calculator
Sample Size Calculator - Qualtrics
The most common percentages are 90%, 95%, and 99%. z = (x – μ) / σ As the formula shows, the z-score is simply the raw score minus the population mean and divided by the population's standard deviation.
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Statstodo
statstodo.com › CombineMeansSDs.php
CombineMeanSD
Links : Home Index (Subjects) Contact StatsToDo · Decomposition of means and Standard Deviation: For each group : Σx = mean * n; Σx2 = SD2(n-1)+((Σx)2/n) The values are then added together tn = sum of all (n) tx = sum of all Σx txx = sum of all Σx2 The combine calculations are Combined ...
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Select-statistics
select-statistics.co.uk › home › comparing two means – sample size
Comparing Two Means - Sample Size - Select Statistical Consultants
January 29, 2020 - This calculator uses the following formula for the sample size n: ... where Zα/2 is the critical value of the Normal distribution at α/2 (e.g. for a confidence level of 95%, α is 0.05 and the critical value is 1.96), Zβ is the critical value of the Normal distribution at β (e.g. for a power of 80%, β is 0.2 and the critical value is 0.84), σ2 is the population variance, and d is the difference you would like to detect. Note: This is a standard formula based on the normal distribution.
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Statistics LibreTexts
stats.libretexts.org › bookshelves › introductory statistics › introductory statistics (shafer and zhang) › 6: sampling distributions
6.1: The Mean and Standard Deviation of the Sample Mean - Statistics LibreTexts
March 27, 2023 - A rowing team consists of four rowers who weigh \(152\), \(156\), \(160\), and \(164\) pounds. Find all possible random samples with replacement of size two and compute the sample mean for each one. Use them to find the probability distribution, the mean, and the standard deviation of the sample mean \(\bar{X}\).
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MedCalc
medcalc.org › en › calc › comparison_of_means.php
Comparison of means - Free MedCalc online statistical calculator
September 24, 2025 - Standard deviation: the observed standard deviation. Sample size: the number of observations in the sample. The program first calculates the pooled standard deviation s:
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Sample-size
sample-size.net › sample-size-means
Sample size – Means | Sample Size Calculators
Statistical calculators, sample size, free, confidence interval, proportion, mean
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SurveyMonkey
surveymonkey.com › mp › sample-size-calculator
Sample Size Calculator: What It Is & How To Use It | SurveyMonkey
Standard deviation: Use standard deviation to measure how spread out your data is from the average or mean. If the standard deviation is low, most data points are close to the average; if it's high, data is more spread out. ... Use our survey sample size calculator or the sample size formula to calculate your sample size.