数学の楽園は、数学学習サイトです。

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MathJax数式とXy-pic図形

数学の楽園で作成した、MathJaxの数式と、Xy-pic図形を、置いていきます。ウェブで、数式や図形を書くために、素材としてご利用ください。

統計(資料・データ)分野の素材

統計分野の素材で、有効数字、標本調査、度数分布、ヒストグラム、のまとめがあります。




測定値と誤差

\begin{xy} {(0,0) \ar @{-}(60,0)}, {(10,3) \ar @{-}(10,-8)}, {(30,3) \ar @{-}(30,0)}, {(50,3) \ar @{-}(50,-8)}, {(10,-8) \ar @{<-}(18,-8)}, {(42,-8) \ar @{->}(50,-8)}, (10,6)*{0.5}="O", (30,6)*{1}="O", (50,6)*{1.5}="O", (30,12)*{測定値}="O", (30,-8)*{誤差の範囲}="O", \end{xy}

有効数字

\begin{xy} (0,0)*{\huge 123 = 1.23 \times 10^{2} }="O", {(-8,-7) \ar @{-}(10,-7)}, {(1,-8) \ar @{<-}(1,-15)}, {(23,-7) \ar @{-}(38,-7)}, {(31,-8) \ar @{<-}(31,-15)}, (0,-19)*{有効数字}="O", (16,-19)*{\times}="O", (30,-19)* {10の累乗}="O", \end{xy}

度数分布表

\begin{xy} {(0,0) \ar @{-}(40,0)}, (10,-5)*{階級}="A", {(0,-10) \ar @{-}(40,-10)}, {(0,-50) \ar @{-}(40,-50)}, {(0,-60) \ar @{-}(40,-60)}, (10,-15)*{0 \sim 2}="A", (10,-25)*{3 \sim 5}="A", (10,-35)*{6 \sim 8}="A", (10,-45)*{9 \sim 11}="A", (10,-55)*{計}="A", (30,-5)*{度数}="A", (30,-15)*{4}="A", (30,-25)*{8}="A", (30,-35)*{5}="A", (30,-45)*{3}="A", (30,-55)*{20}="A", \end{xy}

相対度数

\begin{xy} {(0,0) \ar @{-}(60,0)}, (10,-5)*{階級}="A", {(0,-10) \ar @{-}(60,-10)}, {(0,-50) \ar @{-}(60,-50)}, {(0,-60) \ar @{-}(60,-60)}, (10,-15)*{0 \sim 2}="A", (10,-25)*{3 \sim 5}="A", (10,-35)*{6 \sim 8}="A", (10,-45)*{9 \sim 11}="A", (10,-55)*{計}="A", (30,-5)*{度数}="A", (30,-15)*{4}="A", (30,-25)*{8}="A", (30,-35)*{5}="A", (30,-45)*{3}="A", (30,-55)*{20}="A", (50,-5)*{相対度数}="A", (50,-15)*{0.2}="A", (50,-25)*{0.4}="A", (50,-35)*{0.25}="A", (50,-45)*{0.15}="A", (50,-55)*{1}="A", \end{xy}

累積度数

\begin{xy} {(0,0) \ar @{-}(60,0)}, (10,-5)*{階級}="A", {(0,-10) \ar @{-}(60,-10)}, {(0,-50) \ar @{-}(60,-50)}, {(0,-60) \ar @{-}(60,-60)}, (10,-15)*{0 \sim 2}="A", (10,-25)*{3 \sim 5}="A", (10,-35)*{6 \sim 8}="A", (10,-45)*{9 \sim 11}="A", (10,-55)*{計}="A", (30,-5)*{度数}="A", (30,-15)*{4}="A", (30,-25)*{8}="A", (30,-35)*{5}="A", (30,-45)*{3}="A", (30,-55)*{20}="A", (50,-5)*{累積度数}="A", (50,-15)*{4}="A", (50,-25)*{12}="A", (50,-35)*{17}="A", (50,-45)*{20}="A", (50,-55)*{20}="A", \end{xy}

ヒストグラム

\begin{xy} {(0,0) \ar @{-}(0,60)}, {(15,20) \ar @{.}(15,60)}, {(30,40) \ar @{.}(30,60)}, {(45,25) \ar @{.}(45,60)}, {(60,15) \ar @{.}(60,60)}, (7,-3)*{0\sim2}="A", (22,-3)*{3 \sim 5}="A", (38,-3)*{6 \sim 8}="A", (53,-3)*{9 \sim 11}="A", {(0,0) \ar @{-}(60,0)}, {(0,5) \ar @{.}(60,5)}, {(0,10) \ar @{.}(60,10)}, {(0,15) \ar @{.}(45,15)}, {(45,15) \ar @{-}(60,15)}, {(0,20) \ar @{-}(15,20)}, {(15,20) \ar @{.}(45,20)}, {(15,25) \ar @{.}(30,25)}, {(30,25) \ar @{-}(45,25)}, {(15,30) \ar @{.}(30,30)}, {(15,35) \ar @{.}(30,35)}, {(15,40) \ar @{-}(30,40)}, (-3,5)*{1}="A", (-3,25)*{5}="A", (-3,50)*{10}="A", {(15,0) \ar @{-}(15,40)}, {(30,0) \ar @{-}(30,40)}, {(45,0) \ar @{-}(45,25)}, {(60,0) \ar @{-}(60,15)}, \end{xy}

度数折れ線

\begin{xy} {(0,0) \ar @{-}(0,60)}, {(15,20) \ar @{.}(15,60)}, {(30,40) \ar @{.}(30,60)}, {(45,25) \ar @{.}(45,60)}, {(60,15) \ar @{.}(60,60)}, (7,-3)*{0\sim2}="A", (22,-3)*{3 \sim 5}="A", (38,-3)*{6 \sim 8}="A", (53,-3)*{9 \sim 11}="A", {(0,0) \ar @{-}(60,0)}, {(0,5) \ar @{.}(60,5)}, {(0,10) \ar @{.}(60,10)}, {(0,15) \ar @{.}(45,15)}, {(45,15) \ar @{-}(60,15)}, {(0,20) \ar @{-}(15,20)}, {(15,20) \ar @{.}(45,20)}, {(15,25) \ar @{.}(30,25)}, {(30,25) \ar @{-}(45,25)}, {(15,30) \ar @{.}(30,30)}, {(15,35) \ar @{.}(30,35)}, {(15,40) \ar @{-}(30,40)}, (-3,5)*{1}="A", (-3,25)*{5}="A", (-3,50)*{10}="A", {(15,0) \ar @{-}(15,40)}, {(30,0) \ar @{-}(30,40)}, {(45,0) \ar @{-}(45,25)}, {(60,0) \ar @{-}(60,15)}, (7,20)*{\bullet}="A", (23,40)*{\bullet}="A", (37,25)*{\bullet}="A", (53,15)*{\bullet}="A", {(7,20) \ar @{-}(23,40)}, {(23,40) \ar @{-}(37,25)}, {(37,25) \ar @{-}(53,15)}, \end{xy}
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