The weights (in kg) of 50 wrestlers are recor | vedclass

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(B) To find the mean weight,we use the assumed mean method. First,we determine the class marks $(x_i)$ for each class interval.						Weight (in $kg$)

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$123.4$

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(B) To find the mean weight,we use the assumed mean method. First,we determine the class marks $(x_i)$ for each class interval.						Weight (in $kg$)			Number of wrestlers $(f_i)$			Class Marks $(x_i)$			Deviations $(d_i = x_i - a)$			$f_i d_i$							$100-110$			$4$			$105$			$-20$			$-80$							$110-120$			$14$			$115$			$-10$			$-140$							$120-130$			$21$			$a = 125$			$0$			$0$							$130-140$			$8$			$135$			$10$			$80$							$140-150$			$3$			$145$			$20$			$60$							Total			$\Sigma f_i = 50$			-			-			$\Sigma f_i d_i = -80$			Let the assumed mean $(a) = 125$.Using the formula for the mean by the assumed mean method:Mean $(\bar{x}) = a + \frac{\Sigma f_i d_i}{\Sigma f_i}$$= 125 + \frac{-80}{50}$$= 125 - 1.6$$= 123.4 \ kg$.

Class	$0-50$	$50-100$	$100-150$	$150-200$	$200-250$	$250-300$	$300-350$
Frequency	$10$	$15$	$30$	$20$	$15$	$8$	$2$

Income (in $Rs.$)	$1-200$	$201-400$	$401-600$	$601-800$
Number of employees	$14$	$15$	$14$	$7$

Marks (out of $90$)	Number of candidates
More than or equal to $80$	$4$
More than or equal to $70$	$6$
More than or equal to $60$	$11$
More than or equal to $50$	$17$
More than or equal to $40$	$23$
More than or equal to $30$	$27$
More than or equal to $20$	$30$
More than or equal to $10$	$32$
More than or equal to $0$	$34$

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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For a given frequency distribution,$\Sigma f_{i} x_{i} = 1790$ and $\Sigma f_{i} = 50$. Then,the mean $\bar{x} = $ ..........

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

Class $0-50$ $50-100$ $100-150$ $150-200$ $200-250$ $250-300$ $300-350$

Frequency $10$ $15$ $30$ $20$ $15$ $8$ $2$

The daily income of a sample of $50$ employees is tabulated as follows:

Income (in $Rs.$) $1-200$ $201-400$ $401-600$ $601-800$

Number of employees $14$ $15$ $14$ $7$

Find the mean daily income of the employees. (in $.5$)

Rachana had an average score of $45$ from $6$ tests. Her teacher dropped her lowest score,which is $30$,and calculated the average of the remaining scores to decide her grade. Which of the following gives her new average score?

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

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 $kg$).