The mean of the following frequency distribut | vedclass

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(B) To find the mean,we first calculate the class mark $(x_i)$ for each interval: $11-13: x_1 = 12$$13-15: x_2 = 14$$15-17: x_3 = 16$$17-19: x_4 = 18$

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$8$

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(B) To find the mean,we first calculate the class mark $(x_i)$ for each interval: $11-13: x_1 = 12$$13-15: x_2 = 14$$15-17: x_3 = 16$$17-19: x_4 = 18$$19-21: x_5 = 20$$21-23: x_6 = 22$$23-25: x_7 = 24$Now,calculate $f_i x_i$:$3 	imes 12 = 36$$6 	imes 14 = 84$$9 	imes 16 = 144$$13 	imes 18 = 234$$f 	imes 20 = 20f$$5 	imes 22 = 110$$4 	imes 24 = 96$Sum of frequencies $\sum f_i = 3+6+9+13+f+5+4 = 40+f$Sum of products $\sum f_i x_i = 36+84+144+234+20f+110+96 = 704+20f$Given mean $\bar{x} = 18$,we use the formula $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$:$18 = \frac{704+20f}{40+f}$$18(40+f) = 704+20f$$720+18f = 704+20f$$720-704 = 20f-18f$$16 = 2f$$f = 8$

Class	$11-13$	$13-15$	$15-17$	$17-19$	$19-21$	$21-23$	$23-25$
Frequency	$3$	$6$	$9$	$13$	$f$	$5$	$4$

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

Height (in $cm$)	Frequency	Cumulative frequency
$150-155$	$12$	$a$
$155-160$	$b$	$25$
$160-165$	$10$	$c$
$165-170$	$d$	$43$
$170-175$	$e$	$48$
$175-180$	$2$	$f$
Total	$50$	-

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$10$	$12$	$13$	$16$	$9$

The mean of the following frequency distribution is $18$. Find the missing frequency $f$.

Class $11-13$ $13-15$ $15-17$ $17-19$ $19-21$ $21-23$ $23-25$

Frequency $3$ $6$ $9$ $13$ $f$ $5$ $4$

Similar Questions

Find the mean of the following data:

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

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

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

Find the unknown entries $a, b, c, d, e, f$ in the following distribution of heights of students in a class:

Height (in $cm$) Frequency Cumulative frequency

$150-155$ $12$ $a$

$155-160$ $b$ $25$

$160-165$ $10$ $c$

$165-170$ $d$ $43$

$170-175$ $e$ $48$

$175-180$ $2$ $f$

Total $50$ -

The formula to find the median of a grouped data is $\ldots \ldots \ldots \ldots .$

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $10$ $12$ $13$ $16$ $9$

For the frequency distribution given above,which of the following is false?

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The mean of the following frequency distribution is $18$. Find the missing frequency $f$. Class $11-13$ $13-15$ $15-17$ $17-19$ $19-21$ $21-23$ $23-25$ Frequency $3$ $6$ $9$ $13$ $f$ $5$ $4$