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

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 3

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 lessthan No.ofstudents Cumulativefrequency 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
Is there an error in this question or solution?