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Draw a cumulative frequency curve (ogive) for the following distributions: Class Interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40 Frequency 10 15 17 12 10 8 - Mathematics

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Question

Draw a cumulative frequency curve (ogive) for the following distributions:

Class Interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40
Frequency 10 15 17 12 10 8
Graph

Solution

Class Interval Frequency C.F.
10 – 15 10 10
15 – 20 15 10 + 15 = 25
20 – 25 17 25 + 17 = 42
25 – 30 12 42 + 12 = 54
30 – 35 10 54 + 10 = 64
35 – 40 08  64 + 8 = 72

Taking upper class limits along x-axis and corresponding cumulative frequencies along y-axis, mark the points (10, 0), (15, 10), (20, 25), (25, 42), (30, 54), (35, 64) and (40, 72).

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Chapter 23: Graphical Representation - Exercise 23 [Page 348]

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Selina Mathematics [English] Class 10 ICSE
Chapter 23 Graphical Representation
Exercise 23 | Q 2.1 | Page 348

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