Statistical Functions

CalcTree supports a wide set of statistical functions from MathJS to help you analyze numerical datasets, arrays, or matrix values. These are useful in engineering QA, design checks, measurement summaries, and material variability analysis.

You can pass vectors directly (e.g. [10, 15, 20]) or link to values from table columns in your page.

Descriptive Statistics

Function	Description	CalcTree Example
mean(x)	Arithmetic average	mean([1, 2, 3]) → 2
median(x)	Median value	median([1, 5, 10]) → 5
mode(x)	Most frequent value(s)	mode([1, 2, 2, 3]) → [2]
min(x)	Minimum value	min([4, 2, 8]) → 2
max(x)	Maximum value	max([4, 2, 8]) → 8
sum(x)	Total sum	sum([1, 2, 3]) → 6
prod(x)	Product of all values	prod([2, 3, 4]) → 24
count(x)	Number of elements	count([10, 20, 30]) → 3
quantileSeq(x, p [, sorted])	p-th quantile(s)	quantileSeq([1, 2, 3, 4], 0.25) → 1.75

Deviation & Spread

Function	Description	CalcTree Example
std(x)	Standard deviation	std([2, 4, 4, 4, 5, 5, 7, 9])
variance(x)	Variance	variance([1, 2, 3]) → 0.666
mad(x)	Median Absolute Deviation	mad([1, 1, 2, 2, 4, 6, 9]) → 2
cumsum(x)	Cumulative sum	cumsum([1, 2, 3]) → [1, 3, 6]

Correlation

Function	Description	CalcTree Example
corr(a, b)	Correlation coefficient between two arrays	corr([1, 2, 3], [2, 4, 6]) → 1

Notes for CalcTree

• You can pass arrays using:

  • Inline lists: [value1, value2, value3]

  • Column values from a table

• Most functions return a unitless scalar, unless your input values carry units (e.g., sum([1 m, 2 m]) → 3 m)

• If using multi-column data, apply functions separately per column or row using map() or extract with row(), column(), etc.

📘 Looking for more functions? CalcTree’s expression engine is powered by MathJS. For a full list of available functions, visit the MathJS Function Reference. Most functions listed there are supported in CalcTree unless otherwise noted.