Thearithmetic mean is defined as

npm install @stdlib/stats-base-smeankbn

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varsmeankbn=require('@stdlib/stats-base-smeankbn');

Computes thearithmetic mean of a single-precision floating-point strided arrayx using an improved Kahan–Babuška algorithm.

varFloat32Array=require('@stdlib/array-float32');varx=newFloat32Array([1.0,-2.0,2.0]);varN=x.length;varv=smeankbn(N,x,1);// returns ~0.3333

The function has the following parameters:

• N: number of indexed elements.
• x: inputFloat32Array.
• stride: index increment forx.

TheN andstride parameters determine which elements inx are accessed at runtime. For example, to compute thearithmetic mean of every other element inx,

varFloat32Array=require('@stdlib/array-float32');varfloor=require('@stdlib/math-base-special-floor');varx=newFloat32Array([1.0,2.0,2.0,-7.0,-2.0,3.0,4.0,2.0]);varN=floor(x.length/2);varv=smeankbn(N,x,2);// returns 1.25

Note that indexing is relative to the first index. To introduce an offset, usetyped array views.

varFloat32Array=require('@stdlib/array-float32');varfloor=require('@stdlib/math-base-special-floor');varx0=newFloat32Array([2.0,1.0,2.0,-2.0,-2.0,2.0,3.0,4.0]);varx1=newFloat32Array(x0.buffer,x0.BYTES_PER_ELEMENT*1);// start at 2nd elementvarN=floor(x0.length/2);varv=smeankbn(N,x1,2);// returns 1.25

Computes thearithmetic mean of a single-precision floating-point strided array using an improved Kahan–Babuška algorithm and alternative indexing semantics.

varFloat32Array=require('@stdlib/array-float32');varx=newFloat32Array([1.0,-2.0,2.0]);varN=x.length;varv=smeankbn.ndarray(N,x,1,0);// returns ~0.33333

The function has the following additional parameters:

• offset: starting index forx.

Whiletyped array views mandate a view offset based on the underlyingbuffer, theoffset parameter supports indexing semantics based on a starting index. For example, to calculate thearithmetic mean for every other value inx starting from the second value

varFloat32Array=require('@stdlib/array-float32');varfloor=require('@stdlib/math-base-special-floor');varx=newFloat32Array([2.0,1.0,2.0,-2.0,-2.0,2.0,3.0,4.0]);varN=floor(x.length/2);varv=smeankbn.ndarray(N,x,2,1);// returns 1.25

• IfN <= 0, both functions returnNaN.

• Neumaier, Arnold. 1974. "Rounding Error Analysis of Some Methods for Summing Finite Sums."Zeitschrift Für Angewandte Mathematik Und Mechanik 54 (1): 39–51. doi:10.1002/zamm.19740540106.

• @stdlib/stats-strided/dmeankbn:calculate the arithmetic mean of a double-precision floating-point strided array using an improved Kahan–Babuška algorithm.
• @stdlib/stats-base/meankbn:calculate the arithmetic mean of a strided array using an improved Kahan–Babuška algorithm.
• @stdlib/stats-base/smean:calculate the arithmetic mean of a single-precision floating-point strided array.

This package is part ofstdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to developstdlib, see the main projectrepository.

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