feat: add C implementation for stats/base/dists/normal/mean

[sethdivyansh]

Resolves #3776

Description

• adds C implementation for @stdlib/stats/base/dists/normal/mean along with relevant tests, benchmarks and examples

This pull request:

• progresses: [RFC]: Add C implementation for @stdlib/stats/base/dists/normal/mean #3776

Questions

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No.

Other

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No.

Checklist

Please ensure the following tasks are completed before submitting this pull request.

• Read, understood, and followed the contributing guidelines.

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[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
array/base/filled5d-by	$\color{green}128/128$ $\color{green}+100.00\%$	$\color{green}8/8$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}128/128$ $\color{green}+100.00\%$
array/base/flatten5d	$\color{green}301/301$ $\color{green}+100.00\%$	$\color{green}25/25$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}301/301$ $\color{green}+100.00\%$
assert/is-camelcase	$\color{green}104/104$ $\color{green}+100.00\%$	$\color{green}4/4$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}104/104$ $\color{green}+100.00\%$
iter/do-until-each	$\color{red}224/227$ $\color{green}+98.68\%$	$\color{red}22/23$ $\color{green}+95.65\%$	$\color{green}4/4$ $\color{green}+100.00\%$	$\color{red}224/227$ $\color{green}+98.68\%$
math/base/special/negalucasf	$\color{green}221/221$ $\color{green}+100.00\%$	$\color{green}11/11$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}221/221$ $\color{green}+100.00\%$
math/strided/special/asinh-by	$\color{green}197/197$ $\color{green}+100.00\%$	$\color{green}5/5$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}197/197$ $\color{green}+100.00\%$
ndarray	$\color{green}546/546$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}0/0$ $\color{green}+100.00\%$	$\color{green}546/546$ $\color{green}+100.00\%$
ndarray/map	$\color{green}180/180$ $\color{green}+100.00\%$	$\color{green}21/21$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}180/180$ $\color{green}+100.00\%$
repl/code-blocks	$\color{green}95/95$ $\color{green}+100.00\%$	$\color{green}7/7$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}95/95$ $\color{green}+100.00\%$
repl	$\color{red}11592/14373$ $\color{green}+80.65\%$	$\color{red}663/895$ $\color{green}+74.08\%$	$\color{red}153/266$ $\color{green}+57.52\%$	$\color{red}11592/14373$ $\color{green}+80.65\%$
repl/help	$\color{green}95/95$ $\color{green}+100.00\%$	$\color{green}7/7$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}95/95$ $\color{green}+100.00\%$
repl/info	$\color{green}95/95$ $\color{green}+100.00\%$	$\color{green}7/7$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}95/95$ $\color{green}+100.00\%$
repl/signature	$\color{green}99/99$ $\color{green}+100.00\%$	$\color{green}10/10$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}99/99$ $\color{green}+100.00\%$
repl/typed-signature	$\color{green}99/99$ $\color{green}+100.00\%$	$\color{green}10/10$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}99/99$ $\color{green}+100.00\%$
stats/base/dists/logistic/variance	$\color{green}176/176$ $\color{green}+100.00\%$	$\color{green}9/9$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}176/176$ $\color{green}+100.00\%$
stats/base/dists/lognormal/variance	$\color{green}178/178$ $\color{green}+100.00\%$	$\color{green}9/9$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}178/178$ $\color{green}+100.00\%$
stats/base/dists/normal/mean	$\color{green}175/175$ $\color{green}+100.00\%$	$\color{green}9/9$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}175/175$ $\color{green}+100.00\%$
stats/base/dists/pareto-type1/stdev	$\color{green}203/203$ $\color{green}+100.00\%$	$\color{green}12/12$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}203/203$ $\color{green}+100.00\%$
stats/base/dists/rayleigh/entropy	$\color{green}164/164$ $\color{green}+100.00\%$	$\color{green}8/8$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}164/164$ $\color{green}+100.00\%$
stats/base/dists/rayleigh/logcdf	$\color{green}302/302$ $\color{green}+100.00\%$	$\color{green}31/31$ $\color{green}+100.00\%$	$\color{green}4/4$ $\color{green}+100.00\%$	$\color{green}302/302$ $\color{green}+100.00\%$
stats/base/dists/rayleigh/pdf	$\color{green}295/295$ $\color{green}+100.00\%$	$\color{green}29/29$ $\color{green}+100.00\%$	$\color{green}4/4$ $\color{green}+100.00\%$	$\color{green}295/295$ $\color{green}+100.00\%$
stats/base/dists/rayleigh/variance	$\color{green}162/162$ $\color{green}+100.00\%$	$\color{green}8/8$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}162/162$ $\color{green}+100.00\%$
string/base/altcase	$\color{green}115/115$ $\color{green}+100.00\%$	$\color{green}6/6$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}115/115$ $\color{green}+100.00\%$
string/base/constantcase	$\color{red}571/576$ $\color{green}+99.13\%$	$\color{red}17/18$ $\color{green}+94.44\%$	$\color{red}5/6$ $\color{green}+83.33\%$	$\color{red}571/576$ $\color{green}+99.13\%$
string/base/trim	$\color{green}379/379$ $\color{green}+100.00\%$	$\color{green}14/14$ $\color{green}+100.00\%$	$\color{green}4/4$ $\color{green}+100.00\%$	$\color{green}379/379$ $\color{green}+100.00\%$
utils/none-in-by	$\color{green}117/117$ $\color{green}+100.00\%$	$\color{green}10/10$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}117/117$ $\color{green}+100.00\%$

The above coverage report was generated for the changes in this PR.