Question

COLLECT DATA OF NO. OF FAMILY MEMBERS OF 11 NEIGHBOURHOOD FAMILIES AND FIND MEAN, MODE, MEDIAN ?

Answer 1

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.