(A) The mean $(\bar{x})$ of grouped data using the direct method is calculated by the formula: $\bar{x} = \frac{\sum f_{i} x_{i}}{\sum f_{i}}$,where $

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$\bar{x}=\frac{\Sigma f_{i} x_{i}}{\Sigma f_{i}}$

(A) The mean $(\bar{x})$ of grouped data using the direct method is calculated by the formula: $\bar{x} = \frac{\sum f_{i} x_{i}}{\sum f_{i}}$,where $f_{i}$ is the frequency of the $i^{th}$ class interval and $x_{i}$ is the class mark (midpoint) of the $i^{th}$ class interval. The sum $\sum f_{i}$ is often denoted by $N$ or $n$,representing the total number of observations.

Class 10 Mathematics Statistics Mix Examples - Statistics

Easy

The formula to find the mean of a grouped data by the direct method is .........

A
$\bar{x}=\frac{\Sigma f_{i} x_{i}}{\Sigma f_{i}}$
B
$\bar{x}=\frac{\Sigma x_{i}}{\Sigma f_{i}}$
C
$\bar{x}=\frac{\Sigma f_{i} x_{i}}{n}$
D
$\bar{x}=\frac{\Sigma f_{i} x_{i}}{n} \times c$

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Mix Examples - Statistics

Find the mean of the following data by all the three methods:

Class $50-70$ $70-90$ $90-110$ $110-130$ $130-150$ $150-170$

Frequency $10$ $18$ $7$ $6$ $5$ $4$

Medium

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For a given frequency distribution,$\bar{x}=20, \Sigma f_{i} u_{i}=-50, n=100$ and $c=10$. Then,assumed mean $A = \ldots \ldots \ldots \ldots$

Medium

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

Easy

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If $Z=12$ and $M=16,$ then $\bar{x}=$ ............

Medium

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The weights (in $kg$) of $50$ wrestlers are recorded in the following table:

Weight (in $kg$) $100-110$ $110-120$ $120-130$ $130-140$ $140-150$

Number of wrestlers $4$ $14$ $21$ $8$ $3$

Find the mean weight of the wrestlers (in $kg$).

Medium

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Class	$50-70$	$70-90$	$90-110$	$110-130$	$130-150$	$150-170$
Frequency	$10$	$18$	$7$	$6$	$5$	$4$

Weight (in $kg$)	$100-110$	$110-120$	$120-130$	$130-140$	$140-150$
Number of wrestlers	$4$	$14$	$21$	$8$	$3$

The formula to find the mean of a grouped data by the direct method is .........

Similar Questions

Find the mean of the following data by all the three methods: Class $50-70$ $70-90$ $90-110$ $110-130$ $130-150$ $150-170$ Frequency $10$ $18$ $7$ $6$ $5$ $4$

For a given frequency distribution,$\bar{x}=20, \Sigma f_{i} u_{i}=-50, n=100$ and $c=10$. Then,assumed mean $A = \ldots \ldots \ldots \ldots$

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

If $Z=12$ and $M=16,$ then $\bar{x}=$ ............

The weights (in $kg$) of $50$ wrestlers are recorded in the following table: Weight (in $kg$) $100-110$ $110-120$ $120-130$ $130-140$ $140-150$ Number of wrestlers $4$ $14$ $21$ $8$ $3$ Find the mean weight of the wrestlers (in $kg$).

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Find the mean of the following data by all the three methods:

Class $50-70$ $70-90$ $90-110$ $110-130$ $130-150$ $150-170$

Frequency $10$ $18$ $7$ $6$ $5$ $4$

The weights (in $kg$) of $50$ wrestlers are recorded in the following table:

Weight (in $kg$) $100-110$ $110-120$ $120-130$ $130-140$ $140-150$

Number of wrestlers $4$ $14$ $21$ $8$ $3$

Find the mean weight of the wrestlers (in $kg$).