Use graph (squared paper) to solve this question.
(i) Draw the ogive for the following frequency distribution.
Marks No. of students
0-9 5
10-19 9
20-29 16
30-39 22
40-49 26
50-59 18
60-69 11
70-79 6
80-89 4
90-99 3
Use your graph to find :
(ii) the median
(iii) the number of students who secured more than 75% marks.
Statistics
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Question

Use graph (squared paper) to solve this question.
(i) Draw the ogive for the following frequency distribution.
Marks No. of students
0-9 5
10-19 9
20-29 16
30-39 22
40-49 26
50-59 18
60-69 11
70-79 6
80-89 4
90-99 3
Use your graph to find :
(ii) the median
(iii) the number of students who secured more than 75% marks.

Statistics

12 Likes

KnowledgeBoat · Accepted Answer

(i) The class intervals are discontinuous. By formula, Adjustment factor New lower class limit = Lower class limit - Adjustment factor New upper class limit = Upper class limit + Adjustment factor Marks | New class limit | No. of students | Cumulative frequency ----- | --------- | ---------- | -------------- 0-9 | -0.5-9.5 | 5 | 5 10-19 | 9.5-19.5 | 9 | 14 20-29 | 19.5-29.5 | 16 | 30 30-39 | 29.5-39.5 | 22 | 52 40-49 | 39.5-49.5 | 26 | 78 50-59 | 49.5-59.5 | 18 | 96 60-69 | 59.5-69.5 | 11 | 107 70-79 | 69.5-79.5 | 6 | 113 80-89 | 79.5-89.5 | 4 | 117 90-99 | 89.5-99.5 | 3 | 120 Steps of construction : 1. Take 1 cm = 10 marks on x-axis. 2. Take 1 cm = 20 students on y-axis. 3. A kink is drawn near x-axis to show that the scale begins at 9.5 4. Plot the points (-0.5, 0), (9.5, 5), (19.5, 14), (29.5, 30), (39.5, 52), (49.5, 78), (59.5, 96), (69.5, 107), (79.5, 113), (89.5, 117) and (99.5, 120). 5. Join the points by a free-hand curve. (i) Median = = 60th term Through P = 60, draw a horizontal line parallel to x-axis touching the ogive at point Q. From point Q draw a vertical line parallel to y-axis touching x-axis at R. From graph, R = 42.5 Hence, median = 42.5 (ii) Total marks = 100 75% of marks = 75 Through S = 75, draw a vertical line parallel to y-axis touching the ogive at point T. From point T draw a horizontal line parallel to x-axis touching y-axis at U. From graph, U = 111 ∴ 111 students secured less than or equal to 75% ∴ 9 (120 - 111) students scored more than 75%. Hence, 9 students scored more than 75% marks.

Mathematics

Statistics

Related Questions

In the given figure, ∠BCD = 75°, O is center of the circle and chord AB = chord AD. Find :
(i) ∠BOD
(ii) ∠ODB
(iii) ∠BAO

Marks	No. of students
0-9	5
10-19	9
20-29	16
30-39	22
40-49	26
50-59	18
60-69	11
70-79	6
80-89	4
90-99	3

Mathematics

Use graph (squared paper) to solve this question.(i) Draw the ogive for the following frequency distribution.MarksNo. of students0-9510-19920-291630-392240-492650-591860-691170-79680-89490-993Use your graph to find :(ii) the median(iii) the number of students who secured more than 75% marks.

Statistics

Related Questions

In the given figure, ∠BCD = 75°, O is center of the circle and chord AB = chord AD. Find :(i) ∠BOD(ii) ∠ODB(iii) ∠BAO

In the given figure, ∠BCD = 75°, O is center of the circle and chord AB = chord AD. Find :
(i) ∠BOD
(ii) ∠ODB
(iii) ∠BAO