Draw an ogive for each of the following distributions: (i) $$\begin{tabular}{|l|l|l|l|l|l|} \hline Marks Obtained & less than 10 & less & less & less & less \\ \hline No. of Students & 8 & 25 & 38 & 50 & than 50 \\ \hline \end{tabular}$$ (ii) $$\begin{tabular}{|l|l|l|l|l|l|l|l|} \hline Age in years (less than) & 10 & 20 & 30 & 40 & 50 & 60 & 70 \\ \hline Cumulative Frequency & 0 & 17 & 32 & 37 & 53 & 58 & 65 \\ \hline \end{tabular}$$

Draw an ogive for each of the following distributions:
(i)

$\begin{tabular}{|l|l|l|l|l|l|} \hline Marks Obtained & less than 10 & less & less & less & less \\ \hline No. of Students & 8 & 25 & 38 & 50 & than 50 \\ \hline \end{tabular}$

(ii)

$\begin{tabular}{|l|l|l|l|l|l|l|l|} \hline Age in years (less than) & 10 & 20 & 30 & 40 & 50 & 60 & 70 \\ \hline Cumulative Frequency & 0 & 17 & 32 & 37 & 53 & 58 & 65 \\ \hline \end{tabular}$

Class 10 | Graphical Representations | ICSE | Maths | Selina

Draw an ogive for each of the following distributions:
(i)

$\begin{tabular}{|l|l|l|l|l|l|} \hline Marks Obtained & less than 10 & less & less & less & less \\ \hline No. of Students & 8 & 25 & 38 & 50 & than 50 \\ \hline \end{tabular}$

(ii)

$\begin{tabular}{|l|l|l|l|l|l|l|l|} \hline Age in years (less than) & 10 & 20 & 30 & 40 & 50 & 60 & 70 \\ \hline Cumulative Frequency & 0 & 17 & 32 & 37 & 53 & 58 & 65 \\ \hline \end{tabular}$

Solution:
(i)

$\begin{tabular}{|l|l|} \hline Marks Obtained & No. of students (c.f.) \\ \hline less than 10 & 8 \\ \hline less than 20 & 25 \\ \hline less than 30 & 38 \\ \hline less than 40 & 50 \\ \hline less than 50 & 67 \\ \hline \end{tabular}$

Selina Solutions Concise Class 10 Maths Chapter 23 ex. 23 - 7
Steps Of construction:

(a) We need to plot the points (10, 8), (20, 25), (30, 38), (40, 50) and (50, 67) on the graph.

(b) Now join them with free hand to obtain an ogive.

(ii)

$\begin{tabular}{|l|l|} \hline Age in years (less than) & \begin{tabular}{l} Cumulative \\ Frequency \\ \hline 10 & 0 \\ \hline 20 & & 17 \\ \hline 30 & 32 \\ \hline 40 & 37 \\ \hline 50 & 53 \\ \hline 60 & 58 \\ \hline 70 & & 65 \\ \hline \end{tabular} \\ \hline \end{tabular}$