Histogram Calculator: Frequency Distribution and Statistics

Your details

Enter any list of numbers separated by commas, spaces, or new lines.
Choose how the number of bins is calculated. Sturges' rule works well for n up to ~200.
Number of bins
6

Bins in the histogram

Sample size (n)20
Mean27.25
Median27.5
Std deviation (s)8.5155
Variance (s²)72.5132
IQR (Q3 - Q1)13
Skewness0.0026
Excess kurtosis-0.8342
Bin width5
Min12
Max42
Distribution shapeApproximately symmetric
Mean27.25
Median27.5
Std Dev8.5155

20 values in 6 bins - Approximately symmetric.

  • The mean (27.25) is below the median (27.50), which is consistent with the right-skewed shape.
  • The standard deviation is 8.52, so about 68% of values fall within 18.73 to 35.77 if the distribution is approximately normal.

Next stepIf you need a formal normality test, check the skewness and kurtosis values here and run a Shapiro-Wilk or Kolmogorov-Smirnov test in a statistics package.

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