keisoku

Histogram Maker

Paste your numbers and instantly build a frequency distribution and histogram. Choose the bin count and review the mean, standard deviation, and a full frequency table.

Input

Numeric data (separate with line breaks, commas, or spaces)

Values detected: 20

Number of bins (classes)

bins

Leave blank to set the bin count automatically with Sturges' formula (5 bins). You can also enter any value from 1 to 50.

Result

Data points

20

Bins

5 bins

Bin width

5

01234534835355856346873Mean 61.1Class (value range)Frequency

Mean

61.1

Median

61.5

Std. dev. (population)

6.978

Std. dev. (sample)

7.159

Frequency distribution table

ClassMidpointFrequencyRelative freq.Cumulative rel. freq.
48 to under 5350.5315%15%
53 to under 5855.5315%30%
58 to under 6360.5525%55%
63 to under 6865.5525%80%
68 to 7370.5420%100%
Total20100%

How it works

  • Numeric data can be separated by line breaks, commas, or spaces. You can also copy a single column straight from a spreadsheet and paste it in.
  • Leave the bin count empty to set a recommended value automatically with Sturges' formula (1 + log2 n) based on how many data points you entered. You can also choose any value from 1 to 50 manually.
  • Each class runs from its lower bound (inclusive) up to its upper bound (exclusive); only the final class containing the maximum value is treated as inclusive, so the maximum is always counted somewhere.
  • The frequency distribution table shows frequency, relative frequency, and cumulative relative frequency, along with the overall mean, median, and standard deviation (population and sample).
  • The orange dashed line on the chart marks the mean, so you can see at a glance whether the distribution leans left or right and what shape it takes.
  • All numbers you enter are calculated entirely in your browser and never sent to a server, so you can use the tool with confidence.