Question

Consider the following table clss interval 10-14 having frequency 5and the classinterval 14-18 having frequency 11 and classintetval 18-22having frequency 16and the class interval 22-26having frequency 25 and classinterval 26-30having frequency 19 find the mode of the datae

Answer 1

Step-by-step explanation:

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

Answer ByavatarToppr

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