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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

Question

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.

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.

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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. Concept: Graphical Representation of Ogives.
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