The marks of 200 students in a test were recorded as follows :
Marks % No. of students
0-10 5
10-20 7
20-30 11
30-40 20
40-50 40
50-60 52
60-70 36
70-80 15
80-90 9
90-100 5
Using graph sheet draw ogive for the given data and use it to find the,
(a) median
(b) number of students who obtained more than 65% marks
(c) number of students who did not pass, if the pass percentage was 35.
Statistics
ICSE Sp 2025
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Question

The marks of 200 students in a test were recorded as follows :
Marks % No. of students
0-10 5
10-20 7
20-30 11
30-40 20
40-50 40
50-60 52
60-70 36
70-80 15
80-90 9
90-100 5
Using graph sheet draw ogive for the given data and use it to find the,
(a) median
(b) number of students who obtained more than 65% marks
(c) number of students who did not pass, if the pass percentage was 35.

Statistics

ICSE Sp 2025

26 Likes

KnowledgeBoat · Accepted Answer

Marks % | No. of students (f) | CF ------ | ----------- | ----------- 0-10 | 5 | 5 10-20 | 7 | 12 20-30 | 11 | 23 30-40 | 20 | 43 40-50 | 40 | 83 50-60 | 52 | 135 60-70 | 36 | 171 70-80 | 15 | 186 80-90 | 9 | 195 90-100 | 5 | 200 Steps : 1. Take 1 cm = 10 marks on x-axis. 2. Take 1 cm = 20 students on y-axis. 3. Plot the points (10, 5), (20, 12), (30, 23), (40, 43), (50, 83), (60, 135), (70, 171), (80, 186), (90, 195) and (100, 200). 4. Join the points by free hand curve. (a) n = 200, which is even Median = = 100th term. Through point L = 100 draw a horizontal line parallel to x-axis touching the graph at point M, through M draw a vertical line parallel to y-axis touching x-axis at point N = 53. Hence, median = 53. (b) Total marks = 100 65% of 100 = 65 Through point O = 65 draw a vertical line parallel to y-axis touching the graph at point P, through P draw a horizontal line parallel to x-axis touching y-axis at point Q = 154. ∴ 154 students score less than or equal to 65%. ∴ 46 (200 - 154) students score more than 65%. Hence, 46 students score more than 65%. (c) Total marks = 100 35% of 100 = 35 Through point R = 35 draw a vertical line parallel to y-axis touching the graph at point S, through S draw a horizontal line parallel to x-axis touching y-axis at point T = 33. Hence, 33 students did not pass the exam.

S.No.	Item	Marked price	Discount	Rate of GST
(a)	Dry fruits (1 kg)	₹ 1200	₹ 100	12%
(b)	Packed Wheat Flour (5 kg)	₹ 286	Nil	5%
(c)	Bakery Products	₹ 500	10%	12%

Mathematics

Statistics

ICSE Sp 2025

Related Questions

Marks %	No. of students
0-10	5
10-20	7
20-30	11
30-40	20
40-50	40
50-60	52
60-70	36
70-80	15
80-90	9
90-100	5