% %ȉ̕RgƂ̂łC_ł͂܂ł܂B
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[Title]
303_data(2)

% 蕶
% Ȃ΁C[Level1]ɏ̂̂܂ܖ蕶ƂȂB
[Problem]
̖₢ɓB
% tHg̑傫B1`10C܂TeX̃R}hw肷B
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[usepackage]
\usepackage{color,amssymb}
\usepackage{graphicx}

% ꂼ̖𓚂$\displaystyle $tꍇ́C@ON ܂1
% ꂼ̖𓚂$\displaystyle $tȂꍇ́COFF܂0
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% Level1̖BȉLevel7܂œlB
% 1sڂɂ͏ڍאݒ̃^CgB
% 2sڈȍ~ɖƂ̉𓚂B
% Ɖ𓚁C𓚂Ɩ͂PsďB
% vZߒꍇ́CƉ𓚂̊ԂɂPsԊuC
% ŏprocessƂsC̎̍svZߒĂB
[Level1]


[Level2]

[Level3]


[Level4]


[Level5]

[Level6]

[Level7]
W
ybgVbvɃ`6CB
̃f[^͂̑̏dikgjłB\\
\begin{table}[!htb]
\begin{center}\begin{tabular}{|cccccc|}
\hline
 $3.2$ & $1.2$ & $2.3$ & $2.0$ & $2.7$ & $2.4$ \\
\hline
\end{tabular}\end{center}\end{table}\\
i1jlƕϒl߂B\\
i2jL6̐l̂1ł邱Ƃ킩B
lɊÂlƕϒĺCꂼ2.55kg2.4kgłƂB
Ă鐔lIсClɒB

process
i1jёւƁC\\
\begin{table}[!htb]
\begin{center}\begin{tabular}{|cccccc|}
\hline
 $1.2$ & $2.0$ & $2.3$ & $2.4$ & $2.7$ & $3.2$ \\
\hline
\end{tabular}\end{center}\end{table}\\
 l$=\displaystyle\frac{2.3+2.4}{2}=2.35$C\\
 ϒl$\overline x=\displaystyle\frac{13.8}{6}=2.3$\\
i2j\\
\Ǝ̂悤ɂȂB\\

\begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|c|c|c|}
\hline
  &   & l & v & ϒl \\
  & 2̘a &        &      & \\ \hline
   & 4.7  & 2.35   & 13.8 & 2.3 \\ \hline
   & 5.1  & 2.55   & 14.4 & 2.4 \\ \hline
\end{tabular}\end{center}\end{table}\\
Đf[^͌f[^ɔׂ$14.4-13.8=0.6$傫B
ɁC$2.3$$2.9$ɒƁC\\
\begin{table}[!htb]
\begin{center}\begin{tabular}{|cccccc|}
\hline
 $1.2$ & $2.0$ & $2.4$ & $2.7$ & $2.9$ & $3.2$ \\
\hline
\end{tabular}\end{center}\end{table}
ƂȂClɂȂB

i1j$2.35,\,2.3$\\
i2j$2.3$Cl$2.9$

10̕ϗ$x$̃f[^ɂāC$s^2=\overline {x^2}-(\overline x)^2$
𗘗pāCU$s^2$߂B\\
\begin{table}[!htb]
\begin{center}\begin{tabular}{|c|cccccccccc|}
\hline
 $x$ & 1 & 2 & 2 & 3 & 4 & 5 & 5 & 5 & 6 & 7 \\ \hline
 $x^2$ & &   &   &   &   &   &   &   &   &   \\
\hline
\end{tabular}\end{center}\end{table}

process
\begin{table}[!htb]
\begin{center}\begin{tabular}{|c|cccccccccc|}
\hline
 $x$   & 1 & 2 & 2 & 3 & 4 & 5 & 5 & 5 & 6 & 7 \\ \hline
 $x^2$ & 1 & 4 & 4 & 9 & 16& 25& 25& 25& 36& 49   \\
\hline
\end{tabular}\end{center}\end{table}
 ϒl$\overline x=\displaystyle\frac{40}{10}=4$\\
 $\overline {x^2}=\displaystyle\frac{194}{10}=19.4$\\
U$s^2=19.4-4^2=19.4-16=3.4$

$3.4$

4̕ϗ$x$̃f[^ɂāC$s^2=\overline {x^2}-(\overline x)^2$
𗘗pāCU$s^2$߂B\\
\begin{table}[!htb]
\begin{center}\begin{tabular}{|c|cccc|}
\hline
 $x$ & 2 & 5 & 6 & 7 \\ \hline
 $x^2$ & &   &   &   \\
\hline
\end{tabular}\end{center}\end{table}

process
\begin{table}[!htb]
\begin{center}\begin{tabular}{|c|cccc|}
\hline
 $x$ & 2 & 5 & 6 & 7 \\ \hline
 $x^2$ & 4 & 25  & 36  & 49  \\
\hline
\end{tabular}\end{center}\end{table}
 ϒl$\overline x=\displaystyle\frac{20}{4}=5$\\
 $\overline {x^2}=\displaystyle\frac{114}{4}=28.5$\\
U$s^2=28.5-5^2=3.5$

$3.5$

HőʂɐYĂ鐻ȉdʂ̕źC
ς$5.2$kgCW΍$0.1$kgłB
$5.0$kg̐íCГŕsiƂB
Yꂽi̕sii͖̊\%B\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}
\begin{center}
\input{D:/texlive/2018/bin/win32/mathtex/303_data/pic119.tex}
\end{center}
\begin{flushright}
i{ZpҎH19t8j
\end{flushright}

process
WƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{5.0-5.2}{0.1}=-2.0$\\
\begin{center}
\input{D:/texlive/2018/bin/win32/mathtex/303_data/pic119p.tex}
\end{center}
Ot͍EΏ̂Ȃ̂ŁC$u=2.0$̒lǂݎB
$0.023$C2.3\%\\
iʉj$5.0=5.2-2\times 0.1$ł邩C$u=2.0$̒lǂݎ΂悢B

2.3\%

jqZ̐k̐g165cmCW΍6cmł邱Ƃ킩ĂƂB
̂ƂC177Z`ȏ̐l͉\%H\,̕WKz\ƂɂēB\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}

process
WƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{177-165}{6}=2.0$\\
iʉj$177=165+2\times 6$C0.023

2.3\%

jqZ̐k̐g165cmCW΍6cmł邱Ƃ킩ĂƂB
̂ƂC174Z`ȏ̐l͉\%H\,̕WKz\ƂɂēB\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}

process
WƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{174-165}{6}=1.5$\\
iʉj$174=165+1.5\times 6$C0.067

6.7\%

ljq̕ϐg170Z`CW΍6Z`ł邱Ƃ킩ĂƂB
̂ƂC182Z`ȏ̐l͉\%H\,̕WKz\ƂɂēB\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}

process
WƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{182-170}{6}=2.0$\\
iʉj$182=170+2\times 6$C0.023

2.3\%

ljq̕ϐg170Z`CW΍6Z`ł邱Ƃ킩ĂƂB
̂ƂC176Z`ȏ̐l͉\%H\,̕WKz\ƂɂēB\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}

process
WƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{176-170}{6}=1.0$\\
iʉj$176=170+1\times 6$C0.159

15.9\%

AN̊wZŐw̎ƂCς54_CW΍12łB
AN̓_69_̎C΍l߂B

process
$50+10\times \displaystyle\frac{69-54}{12}=62.5$

$62.5$

wZAɂ鐶k̐g̕ς\,165.0cm\,ŕW΍\,5.0cm\,łB
k500ŁCg͐Kzɏ]̂ƂƂC
g175cmȏ̐k͉\%H\,
̕WKz\ƂɂēB\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}
\begin{flushright}
i{ZpҎH11t72j
\end{flushright}

process
WƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{175-165}{5}=2.0$\\
iʉj$175=165+2\times 5$0.023Ȃ킿2.3\%

2.3\%

wZBɂ鐶k̐g̕ς\,160.0cm\,ŕW΍\,10.0cm\,łB
k500ŁCg͐Kzɏ]̂ƂƂC
g175cmȏ̐k͉\%H
̕WKz\ƂɂēB\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}
\begin{flushright}
i{ZpҎH11t72j
\end{flushright}

process
WƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{175-160}{10}=1.5$\\
iʉj$175=160+1.5\times 10$0.067Ȃ킿6.7\%

6.7\%

HŐĂ镔i̒̌덷͕0mmC
W΍0.5mm̐Kzɏ]ĂB
덷̋e͈͂$\pm 1$mm̂ƂCsǕi͉̔\%ɂȂ邩B
WKz\pď1ʂ܂ŋ߂B\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|c|}
\hline
 mϐ & z֐l & mx֐l \\ \hline
 $0.00$ & $0.5000$ & $0.3938$   \\
 $0.50$ & $0.6915$ & $0.3521$  \\
 $1.00$ & $0.8413$ & $0.2420$   \\
 $1.50$ & $0.9332$ & $0.1296$   \\
 $2.00$ & $0.9773$ & $0.0540$  \\
 $2.50$ & $0.9938$ & $0.0175$   \\
 $3.00$ & $0.9987$ & $0.0044$  \\
 $3.50$ & $0.9998$ & $0.0009$  \\
\hline
\end{tabular}\end{center}\end{table}

process
$1.0=0+2\times 0.5$C$+1$mmȏ̔́C}̉E̎ΐlāC$1-0.9773=0.0227$\\
\begin{center}
\input{D:/texlive/2018/bin/win32/mathtex/303_data/pic120p.tex}
\end{center}
$-1$mmȉ̏ꍇlł邩C\\
$0.0227\times 2=0.0454$\\
iʉjWƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{1.0-0}{0.5}=2.0$

4.5\%

2000l󂯂ƂČʂKzƂāC
΍l75_̐ĺCォ炾ԖڂB\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}

process
ϓ_50_ŕW΍10_C\\
WƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{75-50}{10}=2.5$\\
$2000\times 0.006=12$\\
m0.0063̂悤Ȓl̂Ƃ13ԖڂƂȂB
\begin{center}
\input{D:/texlive/2018/bin/win32/mathtex/303_data/pic121p.tex}
\end{center}

12Ԗ

2000l󂯂ƂČʂKzƂāC
ʂ46Ԉȓɓ邽߂ɂ́C΍l_炢΂悢B\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}

process
$\displaystyle\frac{46}{2000}=0.023$\\
̂Ƃ̊mϐ͕\2.0B\\
ϓ_50_ŕW΍10_C\\
$50+2\times 10=70$

70_ȏ゠΂悢B

300l̐k̐w̐тC
65_CW΍12_ŐKzɋ߂zĂƂC
83_ȏ̐ḱC񉽐l邩B\\
 \\WKz\\\
 \begin{table}[!htb]
\begin{center}\begin{tabular}{|c|c|}
\hline
 mϐ$u$ & m$P$ \\ \hline
 $0.0$ & $0.500$   \\
 $0.5$ & $0.309$   \\
 $1.0$ & $0.159$   \\
 $1.5$ & $0.067$   \\
 $2.0$ & $0.023$   \\
 $2.5$ & $0.006$   \\
 $3.0$ & $0.001$   \\
\hline
\end{tabular}\end{center}\end{table}

process
WƁC\\
$u=\displaystyle\frac{x-ϒl}{W΍}
=\displaystyle\frac{83-65}{12}=1.5$\\
$300\times 0.067=20.1$\\
\begin{center}
\input{D:/texlive/2018/bin/win32/mathtex/303_data/pic122p.tex}
\end{center}

20l



[EOF]
% t@C̍Ōɂ

