Question

Compute mean, median and mode of the given data and represent the in a graph . Interpret the distribution pattern of the data.
Class interval 20-30, 30-40, 40-50, 50-60, 60-70, 70-80, 80-90,
Frequency 4,8,10,18,7,2,1

Answer 1

Answer:

Class intervals Frequency

10-20 7

20-30 12

30-40 20

40-50 11

50-60 8

Here maximum frequency is 20 ,the class corresponding to this 30-40

So modal class is 30-40

Now lower limit of modal class (l)=30

Frequency (f1) of modal class =20

frequency (f0) of preceding the modal class =12

frequency (f2) of the class succeeding the modal class=11

Class size=10

Mod=l+[

2f1−f0−f2

f1−f0

]×h

Mod =30+[

2×20−12−11

20−12

]×10=30+

17

8

×10=30+4.705=34.705

Explanation:

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