Math, asked by shreya488083, 1 year ago

the following table gives the marks scored by 100 students in an entrance examinationo​

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Answered by saniyatvinod2003
7

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Answered by SarcasticL0ve
13

The following table gives the marks scored by 100 students in an entrance examination.

\begin{lgathered}\begin{tabular}{| c | c | c | c | c | c |c | c | c | }\cline{1-9} \bf{Marks} & \sf{0-10} & \sf{10-20} & \sf{20-30} & \sf{30-40} & \sf{40-50} & \sf{50-60}& \sf{60-70}& \sf{70-80}\\ \cline{1-9}\bf{No. of students} & \sf{4} & \sf{10} & \sf{16} & \sf{22} & \sf{20}& \sf{18}& \sf{8}& \sf{2} \\ \cline{1-9} \end{tabular}\end{lgathered}

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⋆ HISTOGRAM

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\setlength{\unitlength}{1 cm}\begin{picture}(12,4)\thicklines\put(0.7,0.5){\sf0}\put(1,1){\circle*{0.1}}\put(1,1){\vector(1,0){8.8}}\put(1,1){\vector(0,1){6.8}}\put(8,0.9){\line(0,1){0.2}}\put(2,0.9){\line(0,1){0.2}}\put(3,0.9){\line(0,1){0.2}}\put(4,0.9){\line(0,1){0.2}}\put(5,0.9){\line(0,1){0.2}}\put(6,0.9){\line(0,1){0.2}}\put(7,0.9){\line(0,1){0.2}}\put(0.9,2){\line(1,0){0.2}}\put(0.9,3){\line(1,0){0.2}}\put(0.9,4){\line(1,0){0.2}}\put(0.9,5){\line(1,0){0.2}}\put(0.9,6){\line(1,0){0.2}}\put(0.9,7){\line(1,0){0.2}}\put(1.7,0.5){\sf10}\put(2.7,0.5){\sf20}\put(3.7,0.5){\sf30}\put(4.7,0.5){\sf40}\put(5.7,0.5){\sf50}\put(6.7,0.5){\sf60}\put(7.7,0.5){\sf70}\put(8.8,0.5){\sf80}\put(0.5,1.9){\sf4}\put(0.5,2.9){\sf8}\put(0.4,3.9){\sf12}\put(0.4,4.9){\sf16}\put(0.4,5.9){\sf20}\put(0.4,6.9){\sf22}\put(2,1){\line(0,1){2.4}}\put(3,1){\line(0,1){4}}\put(4,1){\line(0,1){6}}\put(5,1){\line(0,1){6}}\put(6,1){\line(0,1){5}}\put(7,1){\line(0,1){4.3}}\put(8,1){\line(0,1){2}}\put(9,1){\line(0,1){0.5}}\put(2,3.4){\line(1,0){1}}\put(3,5){\line(1,0){1}}\put(4,7){\line(1,0){1}}\put(5,6){\line(1,0){1}}\put(6,5.3){\line(1,0){1}}\put(7,3){\line(1,0){1}}\put(8,1.5){\line(1,0){1}}\put(3,0.1){\vector(1,0){3.5}}\put(4.3,-0.3){\sf Marks}\put(0.1,2){\vector(0,1){3.5}}\put(-0.17,4.6){\sf S}\put(-0.17,4.3){\sf t}\put(-0.17,4){\sf u}\put(-0.17,3.7){\sf d}\put(-0.17,3.4){\sf e}\put(-0.17,3.1){\sf n}\put(-0.17,2.8){\sf t}\put(-0.17,2.5){\sf s}\put(1,2){\line(1,0){1}}\end{picture}

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  • ☯ We represent the class limits along X - axis on a suitable scale and the frequencies along Y - axis on a suitable scale.

  • ☯ Taking class - intervals as bases and the corresponding frequencies as heights, we construct rectangles to obtain the histogram of the given frequency distribution.
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