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.

Use this standard deviation calculator to find the standard deviation, variance, sum, mean, and sum of differences for the sample/population data set.

Calculates standard deviation and variance for a data set. Calculator finds standard deviation, the measure of data dispersion, and shows the work for the calculation.

Population Standard Deviation Calculator (High Precision) - Calculate the population standard deviation of a set of numbers.

Online calculator to compute standard deviation from a set of observations from a population or a sample.

Standard deviation calculator with a step-by-step solution, APA format, and charts. ... Enter comma , space or Enter after each data value. The tool doesn't count empty cells or non-numeric cells. ... Scroll the above table for more results. Choose the population standard deviation only if you have the data from the entire population, otherwise use the sample standard deviation.

Calculate population standard deviation easily with our tool; solve math problems, upload images for instant solutions, and generate insightful graphs.

This simple tool will calculate the standard deviation of a set of data. Just enter your data into the textbox below, either one score per line or as a comma delimited list, and then press "Calculate". ... Remember, if your data represents a whole population, then you need to select Population ...

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Free standard deviation calculator online: calculates the sample standard deviation or the population standard deviation based on a sample. ➤ Standard deviation for binomial data (proportion) based on sample size and event rate. Quick and easy to use stdev calculator, that also outputs variance, standard error of the mean (SEM), mean, range, and count.

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.

For the given set of observations, the calculator will find their standard deviation (either sample or population), with steps shown.

Population Standard Deviation Variance: ((1-4)2 + (8-4)2 + (-4-4)2 + (9-4)2 + (6-4)2) / N = ((-3)2 +( 4)2 + (-8)2 + (5)2 + (2)2 ) / 5 = (9+16+64+25+4) / 5 = 118 / 5 = 23.6

population standard deviation (psd) calculator - to estimate dispersion value (σn) of entire population online for large numbers of grouped or ungrouped data using (n) formula method, supports excel, csv & text file format input

Step 1: Calculate the mean of the population data. Step 2: Subtract the mean from each value in the set of data and square each difference. Step 3: Take the average of the squared differences from Step 2. Step 4: Take the square root of the ...

October 11, 2025 - The calculator will show you the standard deviation, variance, mean, count, and the sum of squares, along with a step-by-step solution and a histogram of your data. Use this tool to quickly understand the variability in your dataset. Below the calculator is additional information about using it. See all my Statistical Calculators! Enter Data Set Sample Population Calculate Clear Print Results

Here are the step-by-step calculations to work out the Standard Deviation (see below for formulas). Enter your numbers below, the answer is calculated "live": images/std-dev.js · When your data is the whole population the formula is: "Population Standard Deviation" When your data is a sample the formula is: "Sample Standard Deviation" The important difference is "N−1" instead of "N", see Standard Deviation Formulas.

June 9, 2025 - To find the population standard deviation, divide the sum of squared differences by the number of items. Standard deviation is a calculation of the dispersion or variation in a set of numbers.

July 31, 2025 - Standard deviation measures how spread out numbers are in a dataset. Our calculator instantly finds the sample or population standard deviation and displays related statistics—mean, variance, count, sum of squares, and confidence intervals.

Calculator with step-by-step explanations finds the standard deviation, variance, skewness and kurtosis.