1
Question
The weight of 50 workers is given below:
Weight in KgNo. of Workers50−60460−70770−801180−901490−1006100−1105110−1203
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:
(i) the upper and lower quartiles
(ii) If weighing 95 kg and above is considered overweight, find the number of workers who are overweight. [6 MARKS]
Weight in KgNo. of Workers50−60460−70770−801180−901490−1006100−1105110−1203
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:
(i) the upper and lower quartiles
(ii) If weighing 95 kg and above is considered overweight, find the number of workers who are overweight. [6 MARKS]
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Solution
Each Part: 3 Marks
WeightNo. ofc.fPoints to bein kgworkersplotted(f)50−6044A(60,4)60−70711B(70,11)70−801122C(80,22)80−901436D(90,36)90−100642E(100,42)100−110547F(110,47)110−120350G(120,50)
On plotting the points (given in the table) on a graph paper, we draw a 'less than ogive' as given.
=(n4)th observation
=(504)th observation
=12.5th observation
= 72 kg
=(3n4)th observation
=(3×504)th observation
=34.5th observation
= 92.5 kg.
= 50 - 39 = 11 workers
WeightNo. ofc.fPoints to bein kgworkersplotted(f)50−6044A(60,4)60−70711B(70,11)70−801122C(80,22)80−901436D(90,36)90−100642E(100,42)100−110547F(110,47)110−120350G(120,50)
On plotting the points (given in the table) on a graph paper, we draw a 'less than ogive' as given.
=(n4)th observation
=(504)th observation
=12.5th observation
= 72 kg
=(3n4)th observation
=(3×504)th observation
=34.5th observation
= 92.5 kg.
= 50 - 39 = 11 workers
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