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(C) To find the mean,we first make the class intervals continuous by subtracting $0.5$ from the lower limit and adding $0.5$ to the upper limit. Then

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$26$

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(C) To find the mean,we first make the class intervals continuous by subtracting $0.5$ from the lower limit and adding $0.5$ to the upper limit. Then we calculate the mid-value $(x_i)$ for each class.						Class Interval			Mid Value $(x_i)$			Frequency $(f_i)$			$f_i x_i$							$15.5-18.5$			$17$			$1$			$17$							$18.5-21.5$			$20$			$3$			$60$							$21.5-24.5$			$23$			$4$			$92$							$24.5-27.5$			$26$			$9$			$234$							$27.5-30.5$			$29$			$13$			$377$							Total			-			$\Sigma f_i = 30$			$\Sigma f_i x_i = 780$			The mean is calculated using the formula: $\bar{x} = \frac{\Sigma f_i x_i}{\Sigma f_i}$.$\bar{x} = \frac{780}{30} = 26$.Thus,the mean number of pages written per day is $26$.

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

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$7$	$12$	$x$	$28$	$y$	$9$

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$5$	$3$	$4$	$f$	$2$	$6$	$13$

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.

Similar Questions

The mode of the following data is $33 \frac{1}{3}$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

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

Frequency $7$ $12$ $x$ $28$ $y$ $9$

For a given frequency distribution,$A = 200$,$\Sigma f_{i} = 45$,$\Sigma f_{i} u_{i} = -216$ and $c = 10$. Then,mean $\bar{x} = \dots$

For a given frequency distribution,$\Sigma f_{i} u_{i} = -13$,$n = \Sigma f_{i} = 100$,$A = 62.5$ and $c = 15$. Then,mean $\bar{x} = \dots$

The mean of the following frequency distribution is $52$. Find the missing frequency $f$.

Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $5$ $3$ $4$ $f$ $2$ $6$ $13$

Find the mode of the following frequency distribution:

Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$

Frequency $7$ $21$ $37$ $13$ $12$ $10$

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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.