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 $(x_i)$

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$170.18$

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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 $(x_i)$ 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 $Rs. 170.18$.

Class	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$3$	$x$	$7$	$7$	$y$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Frequency	$5$	$12$	$18$	$40$	$15$	$7$	$3$

Height (in $cm$)	Frequency	Cumulative frequency
$150-155$	$12$	$a$
$155-160$	$b$	$25$
$160-165$	$10$	$c$
$165-170$	$d$	$43$
$170-175$	$e$	$48$
$175-180$	$2$	$f$
Total	$50$	-

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 $Rs.$).

Similar Questions

The mean of the following data is $55.5$ and the total frequency is $20$. Find the missing frequencies $x$ and $y$.
Class $30-40$ $40-50$ $50-60$ $60-70$ $70-80$
Frequency $3$ $x$ $7$ $7$ $y$

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.

For a given frequency distribution,$A=49.5, \Sigma f_{i}=40, \Sigma f_{i} u_{i}=-5$ and $c=20$. Then,mean $\bar{x}=$ ............

Find the mean,median and mode of the following frequency distribution:

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$

Frequency $5$ $12$ $18$ $40$ $15$ $7$ $3$

Find the unknown entries $a, b, c, d, e, f$ in the following distribution of heights of students in a class:

Height (in $cm$) Frequency Cumulative frequency

$150-155$ $12$ $a$

$155-160$ $b$ $25$

$160-165$ $10$ $c$

$165-170$ $d$ $43$

$170-175$ $e$ $48$

$175-180$ $2$ $f$

Total $50$ -

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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 $Rs.$).