MAXScanner calculator widget

Statistics Calculator — Mean, Median, Mode, Quartiles, Variance & Standard Deviation

Editable live calculator

Change any input — the result updates immediately

No hidden assumptions. Inputs, units and the working stay visible so you can check the calculation.

Dataset Paste directly from a spreadsheet column. You can also use value:frequency shorthand such as 10:3. Invalid tokens are rejected rather than ignored.Variance / standard deviation basis Displayed precision

Calculated result

Mean 5

Count: 8 · Sum: 40 · Median: 4.5

Mode: 4 (frequency 3)

Min / Max / Range: 2 / 9 / 7

Q1 / Q3 / IQR (Tukey median-of-halves): 4 / 6 / 2

Sample variance / standard deviation: 4.5714 / 2.1381

Population variance / SD: 4 / 2

Sample variance / SD: 4.5714 / 2.1381

Standard error (sample SD ÷ √n): 0.7559

Coefficient of variation (sample SD ÷ |mean|): 42.7618%

Moment skewness / excess kurtosis: 0.6563 / -0.2188

Tukey outlier fences: 1 to 9 · Outliers: none

Sorted data: 2, 4, 4, 4, 5, 5, 7, 9

Frequency table

Value	Count	Share
2	1	12.5%
4	3	37.5%
5	2	25%
7	1	12.5%
9	1	12.5%

Show the working

1. Parse 8 numeric observations and sort them for median/quartile calculations.
2. Mean = Σx ÷ n = 40 ÷ 8 = 5.
3. Tukey quartiles use the median of the lower and upper halves: Q1=4, Q3=6.
4. Sample variance uses n−1 in the denominator: 4.5714; SD = √variance = 2.1381.
5. Outlier fences = Q1 − 1.5×IQR and Q3 + 1.5×IQR.

Quartiles can differ between software because several accepted conventions exist. MAXScanner uses the Tukey median-of-halves method and states it explicitly; compare like-for-like when matching another package.

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