When should I use Sample vs. Population Standard Deviation?
Use Sample Standard Deviation ($N-1$) when your numbers represent a representative subset of a larger group, and Population ($N$) when your dataset includes every single item.
How to Use Mean, Median, Mode & Statistics Calculator
Step 1: Enter Numbers
Paste numbers separated by commas, spaces, or newlines.
Step 2: Choose Population or Sample
Toggle between Sample statistics ($N-1$) and Population ($N$).
Step 3: View Summary
Inspect comprehensive table of central tendency and dispersion metrics.
Key Features & Capabilities
- Mean (Average), Median, Mode (all modal values), and Range
- Sample & Population Standard Deviation and Variance
- Five-number summary: Min, Q1, Median, Q3, Max, and IQR
Frequently Asked Questions
How is the median calculated for even-sized lists?
For lists with an even number of observations, the median is the arithmetic mean of the two middle values.
Related Tools
- Percentage Calculator — Calculate percentage increase, decrease, percentage of a value, and find fractions.
- Fraction Calculator & Simplifier — Add, subtract, multiply, divide, and simplify fractions and mixed numbers.