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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  x̲ , 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 ImageTherefore, the value of f i x i x ¯  is 0.  
The correct answer is option 2.
 
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