Shell » NUMS: Numbers Utilities for Mathematics and Statistics

Numbers utilities including mathematics and statistics.

These shell scripts calculate based on lists of numbers.

Example:

$ echo "1 2 4" | num --sum
7

See the num script for details and options.

This repo also contains a bunch of simplified awk scripts to calculate on numbers:

• num-col-count, num-row-count: Print the count, i.e. how many columns or rows.
• num-col-min, num-row-min: Print the minimum number.
• num-col-max, num-row-max: Print the maximum number.
• num-col-range, num-row-range: Print the range of the numbers.
• num-col-sum, num-row-sum: Print the sum of the numbers.
• num-col-median, num-row-median: Print the median of the numbers.
• num-col-mean, num-row-mean: Print the mean of the numbers, i.e. the average.
• num-col-sum-of-squares, num-row-sum-of-squares: Print the sum of squares of the numbers.
• num-col-variance, num-row-variance: Print the variance of the numbers.
• num-col-standard-deviation, num-row-standard-deviation: Print the standard deviation of the numbers.
• num-col-coefficient-of-variance, num-row-coefficient-of-variance: Print the coefficient of variance of the numbers.

Examples

Example scripts:

$ echo "1 2 4" | num-col-count
3

$ echo "1 2 4" | num-col-min
1

$ echo "1 2 4" | num-col-max
4

$ echo "1 2 4" | num-col-range
3

$ echo "1 2 4" | num-col-sum
7

$ echo "1 2 4" | num-col-median
2

$ echo "1 2 4" | num-col-mean
2.33333

$ echo "1 2 4" | num-col-ss
4.66667

$ echo "1 2 4" | num-col-sd
1.24722

$ echo "1 2 4" | num-col-cv
0.534523

$ echo "1 2 4" | num-col-all
count: 3 min: 1 max: 4 range: 3 sum: 7 median: 2 mean: 2.33333 ss: 4.66667 sd: 1.24722 cv: 0.534523

Requirements

These statistics scripts are simple:

• They are implemented using the shell command awk, and do not need any higher-level languages.

• For more power, we recommend the R language: http://www.r-project.org/

Help

Sample code to split a column-oriented list of numbers into a row-oriented list of numbers:

echo "1 2 4" | tr ' ' '\n'

echo "1 2 4" | sed 's/\s\+/\n/g'

echo "1 2 4" | awk '{for(i=1;i<=NF;i++) print $i}'