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Question

Using a graph paper, draw an ogive for the following distribution which shows the marks obtained in the General Knowledge paper by 100

Marks0101020203030404050506060707080NO. of Student5102025151294

Use the ogive to estimate:

(i) the median.
(ii) the number of students who score marks above 65 .


A

36, 10

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B

38, 8

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C

36, 8

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D

8, 36

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Solution

The correct option is C

36, 8


MarksNo. of studentsc.f010551020101520302035304025604050157550601287607099670804100100

Here n = 100, which is even.

i) Median = (n/2)th term = 50th term

From the graph we observe that median is = 36.

ii) The number of students who score above 65 = 100 – 92

= 8


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