Advertisement

Statistics Calculator

Complete descriptive statistics for any dataset — central tendency, spread and quartiles in one place.

Advertisement

How to Use This Calculator

Paste any dataset, separated by commas, spaces or new lines. The tool handles from 2 to thousands of values and reports every standard summary measure.

Frequently Asked Questions

Why is sample variance divided by n−1?

Using n−1 (Bessel's correction) gives an unbiased estimate of the population variance when you only have a sample.

What are quartiles?

Q1 is the value below which 25% of the data falls; Q3 is below which 75% falls. Their difference (IQR) measures spread.

What's the difference between mean and median?

The mean is the arithmetic average; the median is the middle value. With outliers, the median is more representative.

Can I use decimals?

Yes — any real numbers are accepted, including negatives and decimals.

Practical Example

For the dataset 4, 8, 6, 5, 3:

  • Mean = (4+8+6+5+3) ÷ 5 = 5.2
  • Median (sorted 3,4,5,6,8) = 5
  • Sample standard deviation ≈ 1.92
  • Range = 8 − 3 = 5

What Your Results Mean

  • Mean & median — central tendency; compare them to spot outliers.
  • Standard deviation — how spread out the values are around the mean.
  • Quartiles/IQR — where the middle 50% of the data lies.

Trusted Sources

Advertisement