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The weights (in kg) of $50$ wrestlers are recorded in the following table.

From the following choices, the mean weight of the wrestlers is:

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123.4 kg

143.5 kg

149 kg

132.2 kg

answer is A.

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Detailed Solution

Given a table of data.
Question Image

Construct a table and obtain the class marks by using the formula,
=

u p p e r class limit+lower class limit 2

And obtain deviation d by using the formula,

d i = x i − a

Assumed mean is

a = 125

and the total number of observation is

N = 50

.
Apply formula for mean method given as,

x ¯ = a + ∑ f i d i ∑ f i

Substitute

a = 125, ∑ f i = 50, ∑ f i d i = − 80

within the above formula,

x ¯ = 125 + − 80 50

= 125 − 1.6 = 123.4

Hence, the mean is

123.4

kg.
Hence, option 1) is correct.

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