Given below is the frequency distribution of the heights of 50 students of a class- Class Interval 140-145 145-150 150-155 155-160 160-165- Frequency 8 12 18 10 5- -Draw a histogram representing the above data-

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Standard VIII

Mathematics

Construction of a Histogram for Discontinuous Frequency Distribution

Given below i...

Question

Given below is the frequency distribution of the heights of 50 students of a class:
$\begin{matrix} Class Interval & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 Frequency & 8 & 12 & 18 & 10 & 5 \end{matrix}$

Draw a histogram representing the above data.

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Solution

The class limits are represented along the x-axis on a suitable scale and the frequencies are represented along the y-axis on a suitable scale.

Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can be constructed to obtain the histogram of the given frequency distribution as shown in the figure below:

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Q. Given below is the frequency distribution of the heights of 50 students of a class:

\begin{matrix} Class Interval & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 Frequency & 8 & 12 & 18 & 10 & 5 \end{matrix}

Draw a histogram representing the above data.

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$\begin{matrix} C l a s s i n t e r v a l : & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 F r e q u e n c y : & 8 & 12 & 18 & 10 & 5 \end{matrix}$
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Q. Find the unknown entries a, b, c, d, e and f in the following distribution of heights of students in a class

\begin{matrix} H e i g h t (i n c m) & F r e q u e n c y & C u m u l a t i v e f r e q u e n c y 150 - 155 & 12 & a 155 - 160 & b & 25 160 - 165 & 10 & c 165 - 170 & d & 43 170 - 175 & e & 48 175 - 180 & 2 & f T o t a l & 50 \end{matrix}

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Given below is the frequency distribution of the heights of 50 students of a class: Class Interval140−145145−150150−155155−160160−165Frequency81218105 Draw a histogram representing the above data.

Given below is the frequency distribution of the heights of 50 students of a class:
$\begin{matrix} Class Interval & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 Frequency & 8 & 12 & 18 & 10 & 5 \end{matrix}$

Draw a histogram representing the above data.