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The daily income of a sample of $50$ employees are tabulated as follows.

The mean daily income of employees from the options given below is:

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700

645.7

273.9

356.5

answer is D.

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Detailed Solution

Given a table of data.
Question Image

The class of the given data is not continuous, so, to make it continuous, subtract the lower limit with

0.5

, and add the upper limit with

0.5

.
Now, let the assumed mean as

300.5

.
The table is as follows:
Question Image

Substitute

300.5

for a,

200

for

h

50

for

∑ f i

and

14

for

∑ f i u i

.
Mean is given by the formula,

x ¯ = a + h (∑ f i u i ∑ f i)

= 300.5 + 200 (1450)

= 300.5 + 56 = 356.5

The mean is

356.5

.
Hence option 4) is correct.

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