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Question

The following table shows data during a 1hr exam for a student.

Time during exam(mins) Total number of questions solved in the exam 010210205203010304015405020506025

Plot the less than type ogive curve and hence determine the median on the graph.


A

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B

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C

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D

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Solution

The correct option is A


The total number of questions solved as given in the table is the cumulative frequency of the number of questions and not the frequency which can be understood from the data points and the mention of the word ‘TOTAL’.
In 0-10 mins of the exam , a student solved 2 questions.
In 10-20 mins of the exam he/she solved 5 questions which implies that he/she solved 3 questions in next 10 mins of the exam.

Time Total number of questions <102<205<3010<4015<5020<6025

Plot the points with the upper limits of the class as abscissae and the corresponding less than cumulative frequencies as ordinates.
The data points are (10,2) , (20,5) , (30,10) ,(40,15) , (50,20) , (60,25)

For determining median draw a horizontal line at n2 = 12.5. From the point where the line meets the curve , draw a vertical line to meet x axis. The point where the line meets the x axis is the median.


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