In the formula bar{x} = A + frac{Sigma f_{i} | vedclass

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Question

(A) The given formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$ is the Assumed Mean Method for calculating the mean of grouped data.In t

Vedclass · Accepted Answer

$x_{i} - A$

Vedclass · Answer

(A) The given formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$ is the Assumed Mean Method for calculating the mean of grouped data.In this formula,$A$ represents the assumed mean.$x_{i}$ represents the class mark (midpoint) of the $i^{th}$ class interval.$d_{i}$ is the deviation of the class mark from the assumed mean,which is defined as $d_{i} = x_{i} - A$.Therefore,the correct option is $A$.

Class	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$	$100-120$
Frequency	$8$	$9$	$26$	$23$	$20$	$14$

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Frequency	$2$	$10$	$40$	$25$	$13$	$10$

Class	$200-299$	$300-399$	$400-499$	$500-599$	$600-699$	$700-799$	$800-899$
Frequency	$3$	$61$	$118$	$139$	$126$	$151$	$2$

In the formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$,$d_{i} =$ .........

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