Question

★ Draw Histogram of Following Data

Marks : 10-20, 20-30, 30-40, 40-50, 50-60, 60-70
No Of Students : 2, 8, 12, 10, 6, 4​

Answer 1

Answer:

Mark the class intervals along the X-axis and the number of students along the Y-axis. Draw a histogram for the given data. Now mark the mid points of the upper sides of the consecutive rectangles. The mid points are joined with the help of a ruler. Note that, the first and last edges of the frequency polygon meet at the mid point of the vertical edges of the first and last rectangles.

solution

Answer 2

Answer:

⠀⠀⠀⠀⠀⠀⠀Histogram

Histogram provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values (called “bins”).

$\underline{\bigstar\:\textbf{Parts of Histogram :}}$

1. The title : The title describes the information included in the histogram.

2. X - axis : The X - axis are intervals that show the scale of values which the measurements fall under.

3. Y - axis : The Y - axis shows the number of times that the values occurred within the intervals set by the X-axis.

4. The bars : The height of the bar shows the number of times that the values occurred within the interval, while the width of the bar shows the interval that is covered. For a histogram with equal bins, the width should be the same across all bars.

$\rule{170}{2}$

$\begin{tabular}{|c|c|c|c|c|c|c|}\cline{1-7}\sf Marks&\sf10-20 &\sf20-30&\sf30-40&\sf40-50&\sf50-60&\sf60-70\\\cline{1-7} \sf Students&\sf2&\sf8&\sf12&\sf10&\sf6&\sf4\\\cline{1-7}\end{tabular}$

$\rule{120}{1}$

$\setlength{\unitlength}{1 cm}\begin{picture}(12,4)\thicklines\put(0.9,9){\sf Y}\put(8.9,0.9){\sf X}\put(0.7,0.5){\sf0}\put(1,1){\circle*{0.1}}\put(1,1){\vector(1,0){7.8}}\put(1,1){\vector(0,1){7.8}}\put(8,0.9){\line(0,1){0.2}}\put(2,0.9){\line(0,1){0.2}}\put(3,0.9){\line(0,1){0.2}}\put(4,0.9){\line(0,1){0.2}}\put(5,0.9){\line(0,1){0.2}}\put(6,0.9){\line(0,1){0.2}}\put(7,0.9){\line(0,1){0.2}}\put(0.9,8){\line(1,0){0.2}}\put(0.9,2){\line(1,0){0.2}}\put(0.9,3){\line(1,0){0.2}}\put(0.9,4){\line(1,0){0.2}}\put(0.9,5){\line(1,0){0.2}}\put(0.9,6){\line(1,0){0.2}}\put(0.9,7){\line(1,0){0.2}}\put(1.7,0.5){\sf10}\put(2.7,0.5){\sf20}\put(3.7,0.5){\sf30}\put(4.7,0.5){\sf40}\put(5.7,0.5){\sf50}\put(6.7,0.5){\sf60}\put(7.7,0.5){\sf70}\put(0.6,1.9){\sf2}\put(0.6,2.9){\sf4}\put(0.6,3.9){\sf6}\put(0.6,4.9){\sf8}\put(0.5,5.9){\sf10}\put(0.5,6.9){\sf12}\put(0.5,7.9){\sf14}\put(2,1){\line(0,1){1}}\put(3,1){\line(0,1){4}}\put(4,1){\line(0,1){6}}\put(5,1){\line(0,1){6}}\put(6,1){\line(0,1){5}}\put(7,1){\line(0,1){3}}\put(8,1){\line(0,1){2}}\put(2,2){\line(1,0){1}}\put(3,5){\line(1,0){1}}\put(4,7){\line(1,0){1}}\put(5,6){\line(1,0){1}}\put(6,4){\line(1,0){1}}\put(7,3){\line(1,0){1}}\put(3,0.1){\vector(1,0){3.5}}\put(4.3,-0.3){\sf Marks}\put(0.1,2){\vector(0,1){3.5}}\put(-0.17,4.6){\sf S}\put(-0.17,4.3){\sf t}\put(-0.17,4){\sf u}\put(-0.17,3.7){\sf d}\put(-0.17,3.4){\sf e}\put(-0.17,3.1){\sf n}\put(-0.17,2.8){\sf t}\put(-0.17,2.5){\sf s}\end{picture}$