In the formula $\bar{x} = \frac{\Sigma f_{i} x_{i}}{n}$,$f_{i}$ represents ..........

For some given data,if $Z - M = 12$,then $M - \bar{x} = \ldots \ldots \ldots$

The frequency distribution of marks obtained by $400$ students is given below. If the mean of the frequency distribution is $41.2$,find the missing frequencies $x$ and $y$.

Marks	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Number of students	$26$	$26$	$x$	$110$	$84$	$y$	$36$	$32$

$\frac{Z-M}{M-\bar{x}}=\ldots \ldots \ldots \ldots$

In the formula $\bar{x} = a + h \left( \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \right)$,for finding the mean of grouped frequency distribution,$u_{i}$ is equal to

For some given data,if $Z = 95$ and $\bar{x} = 98,$ then $M = \ldots \ldots \ldots$