# Draw Frequency Polygons for Each of the Following Frequency Distribution: Without Using Histogram - Mathematics

Sum

Draw frequency polygons for each of the following frequency distribution:
(a) using histogram
(b) without using histogram

 C.I 5 -15 15 -25 25 -35 35 - 45 45-55 55-65 ƒ 8 16 18 14 8 2

#### Solution

Using Histogram:

 C.I. f 5 - 15 8 15 - 25 16 25 - 35 18 35 - 45 14 45 - 55 8 55 - 65 2

Steps:

1. Draw a histogram for the given data.
2. Mark the mid-point at the top of each rectangle of the histogram drawn.
3. Also, mark the mid-point of the immediately lower class-interval and mid-point of the immediately higher class-interval.
4. Join the consecutive mid-points marked by straight lines to obtain the required frequency polygon.

Without using Histogram:
Steps:

1. Find the class-mark (mid-value) of each given class-interval.
2.
3. On a graph paper, mark class-marks along X-axis and frequencies along Y-axis.
4. On this graph paper, mark points taking values of class-marks along the X-axis and the values of their corresponding frequencies along the Y-axis.
5.
6. Draw line segments joining the consecutive points marked in step (3) above.
 C.I. Class-mark f -5 - 5 0 0 5 - 15 10 8 15 - 25 20 16 25 - 35 30 18 35 - 45 40 14 45 - 55 50 8 55 - 65 60 2 65 - 75 70 0
Concept: Graphical Representation of Data
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#### APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 18 Statistics
Exercise 18 (B) | Q 5.2 | Page 233