Daily wages of 110 workers,obtained in a surv | vedclass

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(A) To find the mean daily wages,we use the direct method formula: $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$.First,we calculate the class mark $(x_i)$

Vedclass · Accepted Answer

$170.18$

Vedclass · Answer

(A) To find the mean daily wages,we use the direct method formula: $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$.First,we calculate the class mark $(x_i)$ for each interval using the formula: $x_i = \frac{	ext{Lower limit} + 	ext{Upper limit}}{2}$.			Daily wages (in $Rs.$)		Class mark $(x_i)$		Number of workers $(f_i)$		$f_i x_i$				$100-120$		$110$		$10$		$1100$				$120-140$		$130$		$15$		$1950$				$140-160$		$150$		$20$		$3000$				$160-180$		$170$		$22$		$3740$				$180-200$		$190$		$18$		$3420$				$200-220$		$210$		$12$		$2520$				$220-240$		$230$		$13$		$2990$	Sum of frequencies $\sum f_i = 10 + 15 + 20 + 22 + 18 + 12 + 13 = 110$.Sum of products $\sum f_i x_i = 1100 + 1950 + 3000 + 3740 + 3420 + 2520 + 2990 = 18720$.Mean $\bar{x} = \frac{18720}{110} \approx 170.18$.Thus,the mean daily wage is $Rs. 170.18$.

Marks obtained $(x_{i})$	$10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$
Number of students $(f_{i})$	$1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$

Class	$4-7$	$8-11$	$12-15$	$16-19$
Frequency	$5$	$4$	$9$	$10$

Daily wages of $110$ workers,obtained in a survey,are tabulated below:

Daily wages (in $Rs.$) Number of workers

$100-120$ $10$

$120-140$ $15$

$140-160$ $20$

$160-180$ $22$

$180-200$ $18$

$200-220$ $12$

$220-240$ $13$

Compute the mean daily wages of these workers (in $Rs.$).

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Calculate the mean of the following data:

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Daily wages (in $Rs.$)	Number of workers
$100-120$	$10$
$120-140$	$15$
$140-160$	$20$
$160-180$	$22$
$180-200$	$18$
$200-220$	$12$
$220-240$	$13$

Daily wages of $110$ workers,obtained in a survey,are tabulated below: Daily wages (in $Rs.$) Number of workers $100-120$ $10$ $120-140$ $15$ $140-160$ $20$ $160-180$ $22$ $180-200$ $18$ $200-220$ $12$ $220-240$ $13$ Compute the mean daily wages of these workers (in $Rs.$).