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Q.

Weekly income of 600 families is tabulated below. What is the median income?

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a

Rs 1263.16

b

Rs 1258.16

c

Rs 1653.16

d

Rs 1633.16

answer is A.

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Detailed Solution

Given income of 600 families in below table:
Question Image

Question Image

The cumulative frequency of all the classes and the number of observations N. Question Image

Question Image

Here, the sum of the frequency is, N=600.
So,

N 2 = 300

.
The corresponding class will be (1000-2000). So, the median lies in this group and the frequency in this interval is 190, and cumulative frequency is 250.
The median of the given data:

Median = l + N 2 − c f f × h

Here,

l

is the lower limit of the median class, h is the class size and cf will be the cumulative frequency of class interval preceding the median class.
So, substituting the values of f and cf in the formula of the median:

Median = 1000 + 300 − 250 190 × 1000 Median = 1000 + 263.16 Median = R s .1263.16

The median of the data is

R s .1263.16

.
Therefore, 1 is the correct option.

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