If the marks distribution of a number of candidates in an examination, out of 100. are in accordance with the
table given below, what is the estimated number of candidates who scored between 58 and 72 ?
55 cm
65 m
Marks (m)
m < 55
70 <m
60 <m
< 60
< 65
< 70
< 75
50
40
30
40
410
Number of Candidates
Answers
Given : marks distribution of a number of candidates in an examination, out of 100.
To Find : estimated number of candidates who scored between 58 and 72
Solution:
Marks f cf Less than
Less than 55 40 40
55 - 60 40 80
60 - 65 50 130
65 - 70 40 170
70 - 75 30 200
From O give graph
Less than 58 marks = 64
Less than 72 marks = 184
Candidates whos cored between 58 and 72 = 184 - 64
= 120
120 number of candidates scored between 58 and 72
Less than ogive :
The points with the upper limits of the class are plotted on x axis and the corresponding less than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive
More than ogive :
The points with the Lower limits of the class are plotted on x axis and the corresponding more than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give more than cumulative frequency curve or the More than Ogive
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Answer:
If the marks distribution of a number of candidates in an examination, out of 100. are in accordance with the
table given below, what is the estimated number of candidates who scored between 58 and 72 ?
55 cm