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(A) To find the mean,we use the step-deviation method with assumed mean $A = 549.5$ and class size $c = 100$.						Class			Frequency $(f_{i})$			Midpo

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$580.33$

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(A) To find the mean,we use the step-deviation method with assumed mean $A = 549.5$ and class size $c = 100$.						Class			Frequency $(f_{i})$			Midpoint $(x_{i})$			$u_{i} = \frac{x_{i} - A}{c}$			$f_{i} u_{i}$							$200-299$			$3$			$249.5$			$-3$			$-9$							$300-399$			$61$			$349.5$			$-2$			$-122$							$400-499$			$118$			$449.5$			$-1$			$-118$							$500-599$			$139$			$549.5 (A)$			$0$			$0$							$600-699$			$126$			$649.5$			$1$			$126$							$700-799$			$151$			$749.5$			$2$			$302$							$800-899$			$2$			$849.5$			$3$			$6$							Total			$\Sigma f_{i} = 600$			-			-			$\Sigma f_{i} u_{i} = 185$			The formula for the mean is $\bar{x} = A + \left( \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} ight) 	imes c$.Substituting the values:$\bar{x} = 549.5 + \left( \frac{185}{600} ight) 	imes 100$$\bar{x} = 549.5 + \frac{185}{6}$$\bar{x} = 549.5 + 30.833...$$\bar{x} \approx 580.33$Thus,the mean of the data is $580.33$.

Class	$1-3$	$3-5$	$5-7$	$7-10$
Frequency	$9$	$22$	$27$	$17$

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	$10-30$	$30-50$	$50-70$	$70-90$	$90-110$
Frequency	$17$	$f_{1}$	$32$	$f_{2}$	$19$

Find the mean of the following data:

Class $200-299$ $300-399$ $400-499$ $500-599$ $600-699$ $700-799$ $800-899$

Frequency $3$ $61$ $118$ $139$ $126$ $151$ $2$

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$\sum_{i=1}^{10} (x_i - \bar{x}) = \dots$

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 $16-18$ $19-21$ $22-24$ $25-27$ $28-30$

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Find the mean number of pages written per day.

In the formula $\bar{x} = a + h \left( \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \right)$,for finding the mean of grouped frequency distribution,$u_{i}$ is equal to

The mean of the following frequency distribution is $60$ and the total frequency is $120$. Find the missing frequencies $f_{1}$ and $f_{2}$.

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Frequency $17$ $f_{1}$ $32$ $f_{2}$ $19$

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Class	$200-299$	$300-399$	$400-499$	$500-599$	$600-699$	$700-799$	$800-899$
Frequency	$3$	$61$	$118$	$139$	$126$	$151$	$2$

Find the mean of the following data: Class $200-299$ $300-399$ $400-499$ $500-599$ $600-699$ $700-799$ $800-899$ Frequency $3$ $61$ $118$ $139$ $126$ $151$ $2$