Using a graph paper, drawn an Ogive for the following distributio… - Vidyadip

Question

Using a graph paper, drawn an Ogive for the following distribution which shows a record of the weight in kilograms of 200 students.

Weight	Frequency
40 - 45	5
45 - 50	17
50 - 55	22
55 - 60	45
60 - 65	51
65 - 70	31
70 - 75	20
75 - 80	9

Use your ogive to estimate the following:
(i) The percentage of students weighing 55kg or more.
(ii) The weight above which the heaviest 30% of the students fall.
(iii) The number of students who are:
(1) under-weight and
(2) over-weight, if 55·70 kg is considered as standard weight.

✓

Answer

(i) Number of student weighing 55 kg or more
$= 200 - 44$
$= 156$
$\therefore \text { Percentage }=\frac{156 \times 100}{200}$
$=78 \%$

(ii) $30\%$ of $200 = 60$
$\therefore $ Heaviest w.t. (least)
$=$ w.t. of $200 - 60$
$= 140$ th student
$= 65$ kg or more.
(iii) From ogive c.f. against $55.70$ kg
$= 45$
$\therefore $ (1) number of under w.t. students
$= 44$
(2) number of over w.t. students
$= 200 - 44$
$= 156.$

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