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Marks obtained by 20 students in an examination are given below :

Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
Frequency 5 11 10 20 28 37 40 29 14 6

Draw, cut ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis. using the graph, determine : 

(i) The median marks 

(ii) The number of students who failed if minimum marks required to pass is 40. 

(iii) If scoring 85 and more marks is considered as grade one, find the number of students who secured grade one in the examination.

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Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
f 5 11 10 20 28 37 40 29 14 6
c.f. 5 16 26 46 74 111 151 180 194 200

(ii) No. of students who failed = 46 

(iii) No. of students who secured grade one = 200 -188 = 12

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