Find the mode from the following data.
Class Interval
0-9
10-19 20-29
30-39
40-49 50-59
Frequency

July 27, 2021

By Sophia

1 thought on “Find the mode from the following data.<br />Class Interval<br />0-9<br />10-19 20-29<br />30-39<br />40-49 50-59<br />Frequency<br”

1. Answer:

   Frequency 15 20 50 30 10

   Class

   Boundaries 19.5−29.5 29.5−39.5 39.5−49.5 49.5−59.5 59.5−69.5

   For the given data, Modal Class(Class with highest frequency) =39.5−49.5

   For the modal class

   l= lower limit of modal class =39.5

   h= size of class interval =10

   f

   1

   = frequency of modal class =50

   f

   0

   = frequency of class preceding modal class =20

   f

   2

   = frequency of class succeeding modal class =30

   Mode=l+

   2f

   1

   −f

   0

   −f

   2

   f

   1

   −f

   0

   ×h

   Mode=39.5+

   100−20−30

   50−20

   ×10

   Mode=39.5+

   50

   30

   ×10

   Mode=45.5

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