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

$123.4$

Vedclass · Answer

(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	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$
Frequency	$5$	$15$	$20$	$18$	$2$

Class	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$	$30-35$
Frequency	$11$	$20$	$35$	$20$	$8$	$6$

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 $kg$).

Similar Questions

While computing the mean of grouped data,we assume that the frequencies are

Is it true to say that the mean,mode,and median of grouped data will always be different? Justify your answer.

Find the median of the following frequency distribution:
Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$
Frequency $5$ $15$ $20$ $18$ $2$

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

Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$

Frequency $11$ $20$ $35$ $20$ $8$ $6$

In the formula $\bar{x} = A + \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \times c$,$u_{i} =$ .........

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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 $kg$).