Online Statistics Solver with Worked Steps
Choose a data summary, confidence interval or hypothesis-test calculation. Enter your values to see the calculation and its assumptions. Photo and general word-problem analysis are available separately in the mobile app.
Choose a data summary, confidence interval or hypothesis-test calculation and enter your values below. These calculators show their assumptions and steps; they do not interpret arbitrary word problems or uploaded photos.
Review the data summary and check units, outliers and whether the values are a sample or a population.
Statistics Calculator
Paste your data set to get the mean, median, mode, range, variance, and standard deviation — with every step shown.
Mean (x̄)
5
Median
4.5
Mode
4
appears 3×
Range
7
Sample variance
4.571429
divides by n − 1
Sample std. deviation
2.13809
√ of sample variance
1Count and sort the data
You entered n = 8 values. Sorted from smallest to largest:
2, 4, 4, 4, 5, 5, 7, 9
2Mean — add everything, divide by n
x̄ = (2 + 4 + 4 + 4 + 5 + 5 + 7 + 9) ÷ 8 = 40 ÷ 8 = 5
3Median — the middle of the sorted list
n = 8 is even, so there are two middle values: position 4 (4) and position 5 (5). Average them:
median = (4 + 5) ÷ 2 = 4.5
4Mode — the most frequent value(s)
4 appears 3 times — more than any other value — so it is the mode.
5Range — largest minus smallest
range = 9 − 2 = 7
6Sample variance — average squared distance from the mean
Subtract the mean x̄ = 5 from each value, square the result, then add the squares:
| x | x − x̄ | (x − x̄)² |
|---|---|---|
| 2 | -3 | 9 |
| 4 | -1 | 1 |
| 4 | -1 | 1 |
| 4 | -1 | 1 |
| 5 | 0 | 0 |
| 5 | 0 | 0 |
| 7 | 2 | 4 |
| 9 | 4 | 16 |
| Σ(x − x̄)² | 32 | |
Divide by n − 1 = 8 − 1 = 7 (sample data — Bessel's correction):
s² = 32 ÷ 7 = 4.571429
7Sample standard deviation — square root of the variance
s = √4.571429 = 2.13809
The standard deviation is in the same units as your data, which makes it easier to interpret than the variance.
Calculator inputs stay in this browser. The mobile app is a separate service; its store listing describes current features and purchase terms. No data or homework photo is uploaded by these web calculators.
Related free tools
Continue in the app
Use Statistics AI: Statikia for the full guided result after this quick check.
