Draw ogive for the data given below and from the graph determine:
(i) the median marks.
(ii) the number of students who obtained more than 75% marks.

    \[\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline Marks & $10-$ & 20 & $30-$ & $40-$ & $50-$ & $60-$ & $70-$ & $80-$ & $90-$ \\ \hline & 19 & $-29$ & 39 & 49 & 59 & 69 & 79 & 89 & 99 \\ \hline No. of students & 14 & 16 & 22 & 26 & 18 & 11 & 6 & 4 & 3 \\ \hline \end{tabular}\]

Draw ogive for the data given below and from the graph determine:
(i) the median marks.
(ii) the number of students who obtained more than 75% marks.

    \[\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline Marks & $10-$ & 20 & $30-$ & $40-$ & $50-$ & $60-$ & $70-$ & $80-$ & $90-$ \\ \hline & 19 & $-29$ & 39 & 49 & 59 & 69 & 79 & 89 & 99 \\ \hline No. of students & 14 & 16 & 22 & 26 & 18 & 11 & 6 & 4 & 3 \\ \hline \end{tabular}\]

Solution:

    \[\begin{tabular}{|l|l|l|} \hline Marks & No. of students & Cumulative frequency \\ \hline $9.5-19.5$ & 14 & 14 \\ \hline $19.5-29.5$ & 16 & 30 \\ \hline $29.5-39.5$ & 22 & 52 \\ \hline $39.5-49.5$ & 26 & 78 \\ \hline $49.5-59.5$ & 18 & 96 \\ \hline $59.5-69.5$ & 11 & 107 \\ \hline $69.5-79.5$ & 6 & 113 \\ \hline $79.5-89.5$ & 4 & 117 \\ \hline $89.5-99.5$ & 3 & 120 \\ \hline \end{tabular}\]

Scale:
1 \mathrm{~cm}=10 marks on \mathrm{X} axis
1 \mathrm{~cm}=20 students on \mathrm{Y} axis

Selina Solutions Concise Class 10 Maths Chapter 24 ex. 24(E) - 2

(i) Therefore, the median = 120/ 2 = 60^{th} term

Draw a parallel line to x-axis through mark 60 which meets the curve at A. Now from A, draw a perpendicular to x-axis meeting it at B.

Value of point B is the median = 43

(ii) Total marks = 100

75% of total marks = 75/100 \times 100 = 75 marks

As a result, the no. of students getting more than 75% marks = 120 {-} 111 = 9 students.