# Draw a Cumulative Frequency Curve (Ogive) for Each of the Following Distributions: - Mathematics

Chart
Sum

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

 Class Interval 10 – 19 20 – 29 30 – 39 40 – 49 50 – 59 Frequency 23 16 15 20 12

#### Solution

 Class Interval (Inclusive) Class Interval (Exclusive) Frequency Cumulative Frequency 10-19 9.5-19.5 23 23 20-29 19.5-29.5 16 39 30-39 29.5-39.5 15 54 40-49 39.5-49.5 20 74 50-59 49.5-59.5 12 86 Total 86

Steps of construction:

(a) Convert the data into exclusive form.
(b) Taking suitable scales, mark class intervals on x-axis and frequency on y-axis.
(c) Construct rectangles with class intervals as bases and corresponding frequencies as heights.
(d) Join the mid-points of the rectangle to obtain the ogive.

Concept: Ogives (Cumulative Frequency Graphs)
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#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 23 Graphical Representation
Exercise 23 | Q 2.2 | Page 348