Find the mean of the following data: Cla | vedclass

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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

Vedclass · Accepted Answer

$580.33$

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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	$65-85$	$85-105$	$105-125$	$125-145$	$145-165$	$165-185$	$185-205$
Frequency	$4$	$5$	$13$	$20$	$14$	$8$	$4$

Marks	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Number of students	$26$	$26$	$x$	$110$	$84$	$y$	$36$	$32$

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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Frequency $4$ $5$ $13$ $20$ $14$ $8$ $4$

For a given frequency distribution,$\Sigma f_{i} x_{i} = 1790$ and $\Sigma f_{i} = 50$. Then,the mean $\bar{x} = $ ..........

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The frequency distribution of marks obtained by $400$ students is given below. If the mean of the frequency distribution is $41.2$,find the missing frequencies $x$ and $y$.
Marks $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$
Number of students $26$ $26$ $x$ $110$ $84$ $y$ $36$ $32$

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