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Numerically stable computation of arithmetic means. Posted by Diego Assencio on 2015.07.26 under Computer Science. Consider a set of $n$ values $x i$ for $i = 1, 2, ldots n$. The arithmetic mean. Why is the recusive formula eqref{post c34d06f4f4de2375658ed41f70177d59 mean stable} better than the sum formula eqref{post c34d06f4f4de2375658ed41f70177d59 mean}? Floating-point numbers to make the effects of finite precision arithmetic more visible, but the results shown below are also true for double-precision.

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Numerically stable computation of arithmetic means. Posted by Diego Assencio on 2015.07.26 under Computer Science. Consider a set of $n$ values $x i$ for $i = 1, 2, ldots n$. The arithmetic mean. Why is the recusive formula eqref{post c34d06f4f4de2375658ed41f70177d59 mean stable} better than the sum formula eqref{post c34d06f4f4de2375658ed41f70177d59 mean}? Floating-point numbers to make the effects of finite precision arithmetic more visible, but the results shown below are also true for double-precision.
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Numerically stable computation of arithmetic means. Posted by Diego Assencio on 2015.07.26 under Computer Science. Consider a set of $n$ values $x i$ for $i = 1, 2, ldots n$. The arithmetic mean. Why is the recusive formula eqref{post c34d06f4f4de2375658ed41f70177d59 mean stable} better than the sum formula eqref{post c34d06f4f4de2375658ed41f70177d59 mean}? Floating-point numbers to make the effects of finite precision arithmetic more visible, but the results shown below are also true for double-precision.

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Numerically stable computation of arithmetic means. Posted by Diego Assencio on 2015.07.26 under Computer Science. Consider a set of $n$ values $x i$ for $i = 1, 2, ldots n$. The arithmetic mean. Why is the recusive formula eqref{post c34d06f4f4de2375658ed41f70177d59 mean stable} better than the sum formula eqref{post c34d06f4f4de2375658ed41f70177d59 mean}? Floating-point numbers to make the effects of finite precision arithmetic more visible, but the results shown below are also true for double-precision.

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