Decile calculator

For deciles calculation, please enter which decile (number from 0 to 10 or leave blank to calculate all) you want to calculate and numerical data separated with comma (or space, tab, semicolon, or newline). For example: 470.8 229.3 322.8 724.9 236.4 908.2 -440.3 294.4 459.1 440.4 947.4 493.0 707.8 -458.6 602.5 771.7 52...


In statistics, a decile is any of the nine values that divide the sorted data into ten equal parts, so that each part represents 1/10 of the sample or population. A decile is one possible form of a quantile.

How we calculate deciles?

We sort set of data with n items (numbers) and pick n/10-th item 1st decile, 2n/10-th item as 2nd decile and so on. If indexes n/10, 2n/10, ..., 9n/10 aren't integers then we use interpolation between nearest items.

For example, for n=100 items, the first decile is 10th item of ordered data, 6th decile is 60th item etc.

How to enter data as a frequency table?

Simple. First-type data elements (separated by spaces or commas, etc.), then type f: and further write the frequency of each data item. Each element must have a defined frequency that count of numbers before and after symbol f: must be equal. For example:

1.1 2.5 3.99
f: 5 10 15

How to enter grouped data?

Grouped data are formed by aggregating individual data into groups so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.

This grouped data you can enter:
10-20 20-30 30-40
f: 5 10 15

How to enter data as a cumulative frequency table?

Similar to a frequency table, but instead f: type cf: in the second line. For example:

10 20 30 40 50 60 70 80
cf: 5 13 20 32 60 80 90 100

The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors. The last value will always be equal to the total for all observations since all frequencies will already have been added to the previous total.

Practice problems from statistics:

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