# Programming Fundamentals/Math Statistics with Arrays

## Overview[edit]

Statistics is a branch of mathematics dealing with the collection, organization, analysis, interpretation, and presentation of data. Common statistical methods include mean (or average) and standard deviation.^{[1]}

## Discussion[edit]

Arrays can store words, letters, characters(strings) and numbers(integers/floats). Any type of array containing words, numbers or a combination can use a built-in function like `len`

(Python exclusive) to find the number of elements in an array to help display output and parse lines. All arrays can also handle functions that allow the user to sort array values from highest to lowest(or vice versa). Other functions are only intended to handle arrays with numbers. For example, When arrays contain numbers, the elements of the array can be added together using the `sum`

function. Since the built-in `sum`

function cannot handle strings without producing a unsupported operand type error, we use this function only to add numbers, rather than join strings together.

We will continue learning about the `sum`

function(Also known as totaling) in this module. The Latin name for totaling is summa, sometimes shortened to the word sum. In the example below, the `sum`

function totals the array passed to it. Other mathematical functions often associated with statistics such as: average, count, minimum, maximum, standard deviation, etc. are often developed for processing arrays.

### Pseudocode[edit]

Function Main Declare Integer Array ages[5] Declare Integer total Assign ages = [49, 48, 26, 19, 16] Assign total = sum(ages) Output "Total age is: " & total End Function sum (Integer Array array) Declare Integer total Declare Integer index Assign total = 0 For index = 0 to Size(array) - 1 Assign total = total + array[index] End Return Integer total

### Output[edit]

Total age is: 158

## Key Terms[edit]

- sum
- Latin for summa or a total.