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(A) To find the mean,we first calculate the class mark $(x_i)$ for each class interval using the formula: $x_i = \frac{	ext{Lower Limit} + 	ext{Uppe

Vedclass · Accepted Answer

$35$

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(A) To find the mean,we first calculate the class mark $(x_i)$ for each class interval using the formula: $x_i = \frac{	ext{Lower Limit} + 	ext{Upper Limit}}{2}$.						Marks			Class marks $(x_i)$			Frequency $(f_i)$			$f_i x_i$							$10-20$			$15$			$2$			$30$							$20-30$			$25$			$4$			$100$							$30-40$			$35$			$7$			$245$							$40-50$			$45$			$6$			$270$							$50-60$			$55$			$1$			$55$							Total			-			$\Sigma f_i = 20$			$\Sigma f_i x_i = 700$			The mean $(\bar{x})$ is calculated as: $\bar{x} = \frac{\Sigma f_i x_i}{\Sigma f_i} = \frac{700}{20} = 35$.Thus,the mean score of the $20$ students is $35$.

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

Weight (in $kg$)	$40-45$	$45-50$	$50-55$	$55-60$	$60-65$	$65-70$	$70-75$	$75-80$
Number of persons	$4$	$4$	$13$	$5$	$6$	$5$	$2$	$1$

Number of pages written per day	$16-18$	$19-21$	$22-24$	$25-27$	$28-30$
Number of days	$1$	$3$	$4$	$9$	$13$

Calculate the mean of the scores of $20$ students in a mathematics test:

Marks $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Number of students $2$ $4$ $7$ $6$ $1$

Similar Questions

In a frequency distribution with total frequency $48$,$\bar{x}=70$,$\Sigma f_{i}=43+f$,and $A=66$. Then,the missing frequency $f=$ .........

In the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times h$ for the median,$l = \ldots \ldots \ldots$

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 following table gives the number of pages written by Sarika for completing her own book over $30$ days:

Number of pages written per day $16-18$ $19-21$ $22-24$ $25-27$ $28-30$

Number of days $1$ $3$ $4$ $9$ $13$

Find the mean number of pages written per day.

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Marks	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Number of students	$2$	$4$	$7$	$6$	$1$

Calculate the mean of the scores of $20$ students in a mathematics test: Marks $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Number of students $2$ $4$ $7$ $6$ $1$