ICSE Class X Math 2015 Solved Paper

The weight of 50 workers is given below :

Weight in ${\Kg}$	No. Workers
50-60	4
60-70	7
70-80	11
80-90	14
90-100	6
100-110	5
110-120	3

Draw an ogive of the given distribution using a graph sheet. Take $2 {\cm}=10 {\kg}$ on one axis and $2 {\cm}=5$ workers along the other axis. Use a graph to estimate the following :

Question : 41 of 52

Marks: +1, -0

the upper and lower quartiles.

Solution:

Weight in ${\Kg}$	f	cf
50-60	4	4
60-70	7	11
70-80	11	22
80-90	14	36
90-100	6	42
100-110	5	47
110-120	3	50
	Σf=50

Lower quartile

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

term

\;= (\;{50}/{4}) ^{ {\th}} \;\text " term "\;

\;=12.5 {\th} \;\text " term "\;

\;=72 {\kg} .

Upper quartile

(Q_3) \;= (\;{3 N}/{4}) ^{ {\th}} \;\text " term "\;

\;= (\;{150}/{4}) ^{ {\th}} \;\text " term "\;

\;=37.5 {\th} \;\text " term "\;

\;=92 {\kg} .

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