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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
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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
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