### ----------------------------------------------------
### -- Statistics
### -- Licenses: Artistic-2.0
### -- Authors: Suman Khanal <suman81765@gmail.com>
### -- File: docs/descriptive.md
### ----------------------------------------------------
# Descriptive statistics



These are the statistics that describe the given data. 

The following are functions for doing descriptive statistics:

+ `mean`
+ `median`
+ `mode`
+ `percentile`
+ `range`
+ `IQR` (interquartile range)
+ `mad`
+ `fivenum`
+ `sd`
+ `coef_variation`

They are available with 

```raku
use Statistics;
my @data1 = [6,6,4,6,8,6,8,4,4,6,6,8,8,8,8,8,8,4,4,4,4,8,8,8,8,4,4,4,8,6,8,4];
my @data2 = [160.0,160.0,108.0,258.0,360.0,225.0,360.0,146.7,140.8,167.6,167.6,
            275.8,275.8,275.8,472.0,460.0,440.0,78.7,75.7,71.1,120.1,318.0,304.0,
            350.0,400.0,79.0,120.3,95.1,351.0,145.0,301.0,121.0];

# central tendency
mean(@data1); # 6.1875
median(@data1); # 6

# sample standard deviation
sd(@data1); # 1.7859216469465444

# population standard deviation
sd(@data1, sample => False); # 1.757795138803154

# Coefficient of variation
coef_variation(@data2); # 53.71779066522493

# Five number summary
fivenum(@data2); # (71.1 120.65 196.3 334 472)
```






