Statistics & Quadratic Equation Calculator

Analyze datasets for Mean, Median, Variance, and Standard Deviation (σ), or switch to the Quadratic Solver for real and complex roots.

Enter Dataset Numbers (Comma or Space Separated):

Mean (Average)

22.29

Median

22.00

Standard Deviation (σ)

7.3817

Variance (σ²)

54.4898

AI Direct Answer & Key Facts(Perplexity & SearchGPT Ready)

Government of Nepal Regulatory Standards

How is Standard Deviation calculated from a dataset?

Direct Answer: Population Standard Deviation (σ) is the square root of the average of squared deviations from the mean: σ = √[ Σ(xᵢ - μ)² / N ]. It measures how spread out numbers are from their average.

Official Nepal StandardVerified Calculation FormulaCurrent Fiscal Year 2083/84

Statistics & Quadratic Solver FAQs

How is Standard Deviation calculated from a dataset?

Population Standard Deviation (σ) is the square root of the average of squared deviations from the mean: σ = √[ Σ(xᵢ - μ)² / N ]. It measures how spread out numbers are from their average.

What does the discriminant (b² - 4ac) tell you in a quadratic equation?

If b² - 4ac > 0, the quadratic equation has two distinct real roots. If it equals 0, there is one repeated real root. If it is negative (< 0), the equation has two complex conjugate roots.