Question

Find the mode of the below data:

C.I 1-3 3-5 5-7 7-9 9-11

F 7 8 2 2 1​

Answer 1

Answer:

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Answer 2

Answer:

Family size Number of families

1−3 7=f

0

3−5 8=f

1

5−7 2=f

2

7−9 2

9−11 1

∑f=20

Mode =l+

2f

1

−f

0

−f

2

f

1

−f

0

×h

Whereas,

l= Lower limit of modal class =3

h= Class interval =5−3=2

f

0

= frequency of class preceeding the modal class =7

f

1

= frequency of modal class =8

f

2

= frequancy of class succeding the modal class =2

Therefore,

Mode =3+

(2×8)−7−2

8−7

×2

=3+

16−9

1

×2

=3+

7

2

=3.286

Hence the mode of the given data is 3.286.

Step-by-step explanation:

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