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MATHEMATICS

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Question 14

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1.

(a) Using a ruler and compass only, construct a triangle ABC such that AB = 5 cm, ∠ABC = 75° and the radius of the circumcircle of triangle ABC is 3·5 cm.
On the same diagram, construct a circle, touching AB at its middle point, and also touching the side AC.
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2.

(b) The marks obtained by 200 students in an examination are given below:
Marks

Number of students
0 - 10 05
10 - 20 10
20 - 30 11
30 - 40 20
40 - 50 27
50 - 60 38
60 - 70 40
70 - 80 29
80 - 90 14
90 - 100
06
Using a graph paper, draw an Ogive for the above distribution. Use your Ogive to estimate:-
(i) the Median
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