1.

If the median class is 30-40 and cf is half of the sum of frequency then its median is ...?

Answer»

Answer:

We are given the cumulative frequency DISTRIBUTION. So, we first construct a frequency table from the given cumulative frequency distribution and then we will make necessary computation to compute median.

Class intervals Frequency (f) Cumulative frequency (c.f.)

20-30 4 4

30-40 12 16

40-50 14 30

50-60 16 46

60-70 20 66

70-80 16 82

80-90 10 92

90-100 8 100

N=∑f

i

=100

Here, N=∑f

i

=100∴

2

N

=50

We observe that the cumulative frequency just greater than

2

N

=50 is 66 and the CORRESPONDING class is 60−70.

So, 60−70 is the median class.

∴L=60,f=20,F=46 and h=10

Now,

Median =l+

f

2

N

−F

×h

⇒Median=60+

20

50−46

×10=62


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