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Q.

If $x i ′$ are the midpoints of the class intervals of a grouped data, $f i ′$ are the corresponding frequencies and $x ¯$ is the mean, then $Σ f i x i − x ¯ = ?$

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a

1

b

0

c

-1

d

2

answer is B.

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Detailed Solution

We have been given that mean of a grouped data is

\underset{̲}{x},

x i ′

are the midpoints of the class intervals and

f i ′

are the corresponding frequencies.
Mean is the arithmetic average of a data set.
We know that,
Question Image

Question Image

Therefore, the value of

∑ f i x i − x ¯ is 0 .

The correct answer is option 2.

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