*51*

In statistics, **deciles** are numbers that split a dataset into ten groups of equal frequency.

The first decile is the point where 10% of all data values lie below it. The second decile is the point where 20% of all data values lie below it, and so on.

We can use the following syntax to calculate the deciles for a dataset in Python:

import numpy as np np.percentile(var, np.arange(0, 100, 10))

The following example shows how to use this function in practice.

**Example: Calculate Deciles in Python**

The following code shows how to create a fake dataset with 20 values and then calculate the values for the deciles of the dataset:

**import numpy as np
#create data
data = np.array([56, 58, 64, 67, 68, 73, 78, 83, 84, 88,
89, 90, 91, 92, 93, 93, 94, 95, 97, 99])
#calculate deciles of data
np.percentile(data, np.arange(0, 100, 10))
array([56. , 63.4, 67.8, 76.5, 83.6, 88.5, 90.4, 92.3, 93.2, 95.2])**

The way to interpret the deciles is as follows:

- 10% of all data values lie belowÂ
**63.4** - 20% of all data values lie belowÂ
**67.8**. - 30% of all data values lie belowÂ
**76.5**. - 40% of all data values lie belowÂ
**83.6**. - 50% of all data values lie below
**88.5**. - 60% of all data values lie below
**90.4**. - 70% of all data values lie below
**92.3**. - 80% of all data values lie below
**93.2**. - 90% of all data values lie below
**95.2**.

Note that the first value in the output (56) simply denotes the minimum value in the dataset.

**Example: Place Values into Deciles in Python**

To place each data value into a decile, we can use theÂ **qcut** pandas function.

Hereâ€™s how to use this function for the dataset we created in the previous example:

import pandas as pd #create data frame df = pd.DataFrame({'values': [56, 58, 64, 67, 68, 73, 78, 83, 84, 88, 89, 90, 91, 92, 93, 93, 94, 95, 97, 99]}) #calculate decile of each value in data frame df['Decile'] = pd.qcut(df['values'], 10, labels=False) #display data frame df values Decile 0 56 0 1 58 0 2 64 1 3 67 1 4 68 2 5 73 2 6 78 3 7 83 3 8 84 4 9 88 4 10 89 5 11 90 5 12 91 6 13 92 6 14 93 7 15 93 7 16 94 8 17 95 8 18 97 9 19 99 9

The way to interpret the output is as follows:

- The data value 56 falls between the percentile 0% and 10%, thus it falls in decile
**0**. - The data value 58 falls between the percentile 0% and 10%, thus it falls in decile
**0**. - The data value 64 falls between the percentile 10% and 20%, thus it falls in decileÂ
**1**.. - The data value 67 falls between the percentile 10% and 20%, thus it falls decileÂ
**1**. - The data value 68 falls between the percentile 20% and 30%, thus it falls decile
**2**.

And so on.

**Additional Resources**

How to Calculate Percentiles in Python

How to Calculate The Interquartile Range in Python