Dispersion Calculator

Your details

Use "Sample" when your data is a subset drawn from a larger group (most common in practice). Use "Population" only when your dataset is the entire group of interest.
Enter numbers separated by commas, spaces, or line breaks. At least 2 values are required.
RangeVery high variability
38

Max minus min - the simplest measure of spread

Count (n)6
Mean18
Median15.5
Minimum4
Maximum42
Q1 (25th percentile)8
Q3 (75th percentile)23
IQR15
Quartile Deviation7.5
Variance182
Standard Deviation13.4907
Coefficient of Variation (CV)74.95%
Standard Error of Mean (SEM)5.5076
Mean Absolute Deviation (MAD)9.6667
Range38
IQR15
Std Dev13.4907
MAD9.6667

6 values, range 38.0000, SD 13.4907

  • Your sample standard deviation is 13.4907, meaning values typically deviate from the mean (18.0000) by about that amount.
  • The coefficient of variation is 74.95%, indicating very high relative variability. CV below 10% generally means the dataset is very consistent.
  • The IQR (15.0000) covers 39.5% of the total range (38.0000), showing how concentrated the middle 50% of values are.
  • Sample mode uses n - 1 (Bessel's correction) to give an unbiased estimate of the true population variance.

Next stepIf your dataset has extreme outliers, compare standard deviation with MAD and IQR: both are more robust to outliers than variance-based measures.

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