In the formula \bar{x}= a+h\left ( \frac{\sum f_{i}u_{i}}{\sum f_{i}} \right ) for finding the mean of grouped frequency distribution, ui =
(A) \frac{x_{i}+a}{h}           (B) h(xi – a)                 (C) \frac{x_{i}-a}{h}                  (D) \frac{a-x_{i}}{h}

Answers (1)

Answer. [C]
Solution.    Mean: It is the average of the given numbers/observations. It is easy to calculate mean. First of all, add up all the observations and then divide by the total number of observations.
Also we know that di = xi – a  and  u_{i}= \frac{d_{i}}{h}
u_{i}= \frac{d_{i}}{h}
put       di = xi – a
u_{i}= \frac{x_{i}-a}{h}
Hence option C is correct

 

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