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 $kg$)

Vedclass · Accepted Answer

$123.4$

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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$.

Daily income (in Rs.)	$100-120$	$120-140$	$140-160$	$160-180$	$180-200$
Number of workers	$12$	$14$	$8$	$6$	$10$

Daily pocket allowance (in $Rs.$)	$11-13$	$13-15$	$15-17$	$17-19$	$19-21$	$21-23$	$23-25$
Number of children	$7$	$6$	$9$	$13$	$f$	$5$	$4$

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 $kg$).

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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 $kg$).