Calculate mean, variance and population or sample standard deviation from a number list.
How to use Standard Deviation Calculator
Paste numbers separated by spaces, commas or line breaks. Select population or sample to calculate mean, variance and standard deviation.
Calculate mean, variance and population or sample standard deviation from a number list. Your entries are calculated in your browser and are not sent to Schoolvisor.
Standard Deviation Calculator
Use this calculator to find the mean, variance and standard deviation of a list of numbers. It is useful for students, teachers, researchers and anyone who needs to understand how spread out a set of values is.
Enter values such as marks, scores, measurements or survey results, then choose whether the data represents a full population or a sample.
How to use the Standard Deviation Calculator
- Enter or paste your numbers into the input box.
- Separate each value with a comma, space or new line.
- Choose population standard deviation if you have every value in the group.
- Choose sample standard deviation if your values represent only part of a larger group.
- Calculate to see the mean, variance and standard deviation.
For example, you could enter class test scores such as: 62, 68, 71, 75, 84.
What does standard deviation mean?
Standard deviation shows how close the values are to the average.
A low standard deviation means most values are close to the mean.
A high standard deviation means the values are more widely spread out.
For example, if most students receive similar marks, the standard deviation will usually be lower. If some students score very high and others much lower, it will usually be higher.
Population vs sample standard deviation
Use population standard deviation when your data includes every member of the group you are studying. For example, all students in one class.
Use sample standard deviation when your data is only a smaller group taken from a larger population. For example, 30 survey responses from a whole school.
FAQs
What is variance?
Variance is another measure of how spread out values are. It is calculated using the squared differences from the mean.
Which option should I choose: population or sample?
Use population when you have all the data for the group. Use sample when your data represents part of a larger group.
Can I use marks or test scores?
Yes. This calculator is suitable for marks, grades, measurements, financial figures and many other number lists.
Can I paste numbers from a spreadsheet?
Yes. Copy the values and paste them into the input box. Separate them with commas, spaces or line breaks.
Is standard deviation always positive?
Yes. Standard deviation is zero or a positive number. A value of zero means every number in the list is the same.
Related tools
- Mean and Median Calculator
- Percentage Calculator
- GPA / CGPA Calculator
- Marks Analyser
- Easy Grader