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

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(C) The formula $\bar{x} = \frac{\Sigma f_{i} x_{i}}{\Sigma f_{i}}$ is used to calculate the arithmetic mean of grouped data.In this formula,$f_{i}$ r

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sum of the frequencies of all the classes

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(C) The formula $\bar{x} = \frac{\Sigma f_{i} x_{i}}{\Sigma f_{i}}$ is used to calculate the arithmetic mean of grouped data.In this formula,$f_{i}$ represents the frequency of the $i$-th class interval,and $x_{i}$ represents the class mark (mid-value) of the $i$-th class interval.The symbol $\Sigma$ denotes the summation.Therefore,$\Sigma f_{i}$ represents the sum of the frequencies of all the classes,which is often denoted by $N$.

Class	$0-15$	$15-30$	$30-45$	$45-60$	$60-75$	$75-90$	$90-105$
Frequency	$4$	$5$	$23$	$45$	$66$	$42$	$15$

Marks	Number of students
Below $10$	$3$
Below $20$	$12$
Below $30$	$27$
Below $40$	$57$
Below $50$	$75$
Below $60$	$80$

Marks obtained	Number of students
More than or equal to $0$	$63$
More than or equal to $10$	$58$
More than or equal to $20$	$55$
More than or equal to $30$	$51$
More than or equal to $40$	$48$
More than or equal to $50$	$42$

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

Similar Questions

Find the mode of the following frequency distribution:

Class $0-15$ $15-30$ $30-45$ $45-60$ $60-75$ $75-90$ $90-105$

Frequency $4$ $5$ $23$ $45$ $66$ $42$ $15$

For the following distribution,the modal class is:

Marks Number of students

Below $10$ $3$

Below $20$ $12$

Below $30$ $27$

Below $40$ $57$

Below $50$ $75$

Below $60$ $80$

For some given data,if $M = 62.5$ and $\bar{x} = 64$,then $Z = \ldots$

In the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times h$ for the median,$l = \ldots \ldots \ldots$

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