Rccinstitution: Histogram

Histogram

<div dir="ltr" style="text-align: left;" trbidi="on"><h2 style="text-align: left;">Histogram</h2><div class="MsoNormal"><o:p></o:p></div><div class="MsoNormal"> In drawing the histogram of a given continuous frequency<o:p></o:p></div><div class="MsoNormal">distribution we first mark off along the x-axis all the class interval~ on a suitable <o:p></o:p></div><div class="MsoNormal">scale. On each class interval erect rectangles with heights proportional  to the<o:p></o:p></div><div class="MsoNormal">frequency of the corresponding class interval so that the area of the rectangle is <o:p></o:p></div><div class="MsoNormal">proportional to the frequency of the class. If . However , the classes are of unequal<o:p></o:p></div><div class="MsoNormal">width then die height of the rectangle will be proportional to the ratio of the<o:p></o:p></div><div class="MsoNormal">frequencies to the width of the classes. 7be diagram of continuous rectangle so <o:p></o:p></div><div class="MsoNormal">obtained is called histogram.<o:p></o:p></div><div class="MsoNormal"><br /></div><h3 style="text-align: left;">Remarks</h3><div class="MsoNormal"><o:p></o:p></div><div class="MsoNormal">1. To draw the histogram for an ungrouped frequency distribution<o:p></o:p></div><div class="MsoNormal">of a variable we shall have to assume that the frequency corresponding <o:p></o:p></div><div class="MsoNormal">value x is spread. over the interval x - hl2 to x + hl2, where h is the Jump from<o:p></o:p></div><div class="MsoNormal">one value to the next.<o:p></o:p></div><div class="MsoNormal">2. If the grouped' frequency distribution is not continuous, first it is to be<o:p></o:p></div><div class="MsoNormal">converted into continuous distribution and then the histogram is drawn.<o:p></o:p></div><div class="MsoNormal">3. Although the height of each rectangle is proportional to the frequency of<o:p></o:p></div><div class="MsoNormal">the corresponding class, the height of a fraction of the rectangle is not proportional <o:p></o:p></div><div class="MsoNormal">to the frequency of the corresponding fraction of the class, so that histogram cannot<o:p></o:p></div><div class="MsoNormal">be directly used to read frequency over a fraction of a class interval.<o:p></o:p></div><div class="MsoNormal">4. The histogram of the distribution of marks of250 students in Table 3 (page<o:p></o:p></div><div class="MsoNormal">2·2) is obtained as follows.<o:p></o:p></div><div class="MsoNormal">Since the grouped frequency distribution is not continuous, we first convert it<o:p></o:p></div><br /><div class="MsoNormal">into a continuous distribution as follows<o:p></o:p></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyPYUwVPA2oR-ECqpDOe2dzSS56j3KuFv_o1eL5Jv9fLf4G0zd0wF_Gn4y3omzDaC2O0ZqKZo7ux1_odbiGA_bs0dWs7gbv3uwuSF8Tjgr4zR7vZcXcvp6nJ7QZBThlWVVO8EP2TPFCvw/s1600/Untitled3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="435" data-original-width="581" height="238" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyPYUwVPA2oR-ECqpDOe2dzSS56j3KuFv_o1eL5Jv9fLf4G0zd0wF_Gn4y3omzDaC2O0ZqKZo7ux1_odbiGA_bs0dWs7gbv3uwuSF8Tjgr4zR7vZcXcvp6nJ7QZBThlWVVO8EP2TPFCvw/s320/Untitled3.png" width="320" /></a></div><div class="MsoNormal"><br /></div><div class="separator" style="clear: both; text-align: center;"></div><div class="MsoNormal"><br /></div></div>

Histogram In drawing the histogram of a given continuous frequency distribution we first mark off along the x-axis all the class interval~ ... Read More »

Frequency Distributions And Measures Of Central Tendency part 1