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Use Graph Paper for this Question. the Marks Obtained by 120 Students in an English Test Are Given Below : Draw the Ogive and Hence, Estimate: (I) the Median Marks. - Mathematics

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Sum

Use graph paper for this question. 
The marks obtained by 120 students in an English test are given below : 

Marks 0 - 10 10 - 20 20 -  30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90  -100
No.of students  5 9 16 

22    

26      18

 11     

6 4

Draw the ogive and hence, estimate:
(i) the median marks.
(ii) the number of students who did not pass the test if the pass percentage was 50.
(iii) the upper quartile marks.

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Solution


C.I Marks less
than
No.of
students
Cumulative
frequency
0-10 10 5 5
10-20 20 9 14
20-30 30 16 30
30-40 40 22 52
40-50 50 26 78
50-60 60 18 96
60-70 70 11 107
70-80 80 6 113
80-90 90 4 117
90-100 100 3 120
       

i. No.of students =120
∴ Median = 60th term through marks of 60 draw a line parallel to x - axis which meets the curve at A. From A draw perpendicular to x-axis, which meets it at A . From A draw a perpendicular to x-axis which
meets it at B.
ii. The upper quartile marks `(Q_3 ) = 3/4 n^(th)` term

`= 3^(th)/4 xx 120= 90^(th) ` term

draw a line parallel to x-axis which meets the 1 curve at C. From C draw perpendicular to x-axis which meets it at D.

Concept: Graphical Representation of Ogives
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