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VELNARO

Statistics Calculator

Enter a data set and get a full descriptive statistics summary, including quartiles, the interquartile range, variance and standard deviation for both a sample and a population.

Separate values with commas, spaces or line breaks.

Count

10

Mean

5.8

Median

6

Mode

6, 8

Minimum

2

Maximum

9

Range

7

Q1 (25th percentile)

4.25

Q3 (75th percentile)

7.75

Interquartile range

3.5

Sample variance

5.29

Population variance

4.76

Sample standard deviation

2.3

Population standard deviation

2.18

Sum

58

Coefficient of variation

39.65%

How this was worked out

  1. Step 1Sum of 10 values = 58
  2. Step 2Mean = 58 ÷ 10 = 5.8
  3. Step 3Variance (sample) = Σ(x − mean)² ÷ (n − 1) = 5.29
  4. Step 4Standard deviation = √variance = 2.3

Formula

Mean = Σx ÷ n • Sample variance = Σ(x − x̄)² ÷ (n − 1) • Standard deviation = √variance

Example

Input

4, 8, 6, 5, 3, 8, 9, 2, 7, 6

Result

Mean = 5.8, median = 6, SD ≈ 2.25

Frequently asked questions

A sample divides by n − 1 and is used when your data is a subset of a larger group. A population divides by n and is used when you have every value.

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