ZovaTool

Statistics Calculator

Count
14
Sum
422.00
Mean (avg)
30.1429
Median
29.00
Mode
no mode
Std deviation
11.4277
sample
Variance
130.5934
Range
38.00
min 12.00 · max 50.00

Quartiles & spread

Q1 (25%)22.75
Q2 (50% / median)29.00
Q3 (75%)38.75
IQR (Q3−Q1)16.00

Other means & shape

Geometric mean27.9375
Harmonic mean25.5941
RMS (quadratic mean)32.0914
Coefficient of variation37.91%
Skewness0.0919
Excess kurtosis-1.2329
Sum of squares (SS)1,697.7143
Standard error of mean3.0542

95% confidence interval for the mean

[24.1566 , 36.1291] — mean ± 1.96 × SEM

Outliers (Tukey 1.5 × IQR rule)

Lower fence (Q1 − 1.5·IQR)-1.25
Upper fence (Q3 + 1.5·IQR)62.75
Outliers foundnone

Sorted

12, 15, 18, 22, 25, 27, 28, 30, 33, 35, 40, 42, 45, 50

Per-value z-scores

Valuez-score|z| > 2 ?
12-1.588
15-1.325
18-1.063
22-0.713
25-0.450
27-0.275
28-0.188
30-0.013
330.250
350.425
400.863
421.038
451.300
501.738

How to use the Statistics Calculator

  1. Paste numbers separated by commas, spaces or new lines.
  2. Pick sample or population variance/SD depending on your data context.
  3. Read mean, median, mode, range, quartiles, IQR, variance, SD, geometric & harmonic mean, plus skewness, kurtosis and 95% CI.
Advertisement

Sample vs population — and why it matters

Use ‘sample’ variance (divide by n−1, Bessel's correction) whenever your data is a subset of a larger group — almost always in real-world studies.

‘Population’ variance (divide by n) only applies when you have the entire universe (e.g. every employee's salary at a small company).

Skewness measures asymmetry; kurtosis measures tail heaviness. Both help spot non-normal data before applying tests that assume normality.