ICSE Class X Math 2014 Solved Paper

The marks obtained by 100 students in a Mathematics test are given below :

Draw an ogive for the given distribution on a graph sheet.
(Use a scale of $2 {\cm}=10$ units on both axis).
Use the ogive to estimate the :

Question : 46 of 52

Marks: +1, -0

lower quartile.

Solution:

Lower quartile

(Q_1) = (\;{n}/{4}) ^{\;\text "th "\;}

term

\;= (\;{100}/{4}) ^{\;\text "th "\;} \;\text " term "\;

\;=25^{\;\text "th "\;} \;\text " term. "\;

From the graph

25^{\;\text "th "\;}

term

=31

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