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

Question

Find the mode from the following data.
Class Interval
0-9
10-19 20-29
30-39
40-49 50-59
Frequency
5
8
12
11
8
6​

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Sophia 2 months 2021-07-27T05:44:06+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-27T05:45:15+00:00

    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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