Our Standard Deviation Calculator helps you quickly calculate the mean, variance, and standard deviation of a dataset. Whether you’re a student learning statistics, a teacher preparing examples, or a data analyst working with numbers, this tool gives you accurate results instantly.
Standard deviation is a measure of how spread out a set of numbers is.
Formula:
σ=∑(xi−μ)2Nσ = \sqrt{\frac{\sum (x_i – μ)^2}{N}}
Where:
Q1: What does the standard deviation tell you?
A: Standard deviation shows how spread out the numbers are compared to the mean. A low value means the numbers are close together, while a high value means they are more spread out.
Q2: What is the difference between variance and standard deviation?
A: Variance measures the average squared differences from the mean, while standard deviation is the square root of variance. Standard deviation is easier to interpret because it’s in the same units as the data.
Q3: Can I use this calculator for statistics homework?
A: Yes! The calculator is designed for students and teachers. It provides step-by-step working so you can see exactly how the mean, variance, and standard deviation are calculated.
Q4: Does this standard deviation calculator work on mobile?
A: Yes, the calculator is fully responsive and works smoothly on smartphones, tablets, and computers.
Q5: Is this calculator free to use?
A: Absolutely. Our standard deviation calculator is 100% free and requires no signup or download.
Q6: Can this calculator handle decimals and negative numbers?
A: Yes, you can enter whole numbers, decimals, and even negative numbers. The calculator will compute the mean, variance, and standard deviation accurately.