The mean of the following data is 16. Find th | vedclass

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(A) To find the mean,we use the formula $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$.First,calculate the class marks $(x_i)$ for each interval: $2, 6, 10

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$8$

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(A) To find the mean,we use the formula $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$.First,calculate the class marks $(x_i)$ for each interval: $2, 6, 10, 14, 18, 22, 26, 30, 34$.Next,calculate $f_i x_i$ for each class:$6 	imes 2 = 12$$8 	imes 6 = 48$$17 	imes 10 = 170$$23 	imes 14 = 322$$16 	imes 18 = 288$$15 	imes 22 = 330$$f 	imes 26 = 26f$$4 	imes 30 = 120$$3 	imes 34 = 102$Sum of frequencies $\sum f_i = 6+8+17+23+16+15+f+4+3 = 92+f$.Sum of $f_i x_i = 12+48+170+322+288+330+26f+120+102 = 1392+26f$.Given mean $\bar{x} = 16$,so $16 = \frac{1392+26f}{92+f}$.$16(92+f) = 1392+26f$$1472 + 16f = 1392 + 26f$$1472 - 1392 = 26f - 16f$$80 = 10f$$f = 8$.

Class	$0-4$	$4-8$	$8-12$	$12-16$	$16-20$	$20-24$	$24-28$	$28-32$	$32-36$
Frequency	$6$	$8$	$17$	$23$	$16$	$15$	$f$	$4$	$3$

Class	$65-85$	$85-105$	$105-125$	$125-145$	$145-165$	$165-185$	$185-205$
Frequency	$4$	$5$	$13$	$20$	$14$	$7$	$4$

The mean of the following data is $16.$ Find the missing frequency $f.$

Class $0-4$ $4-8$ $8-12$ $12-16$ $16-20$ $20-24$ $24-28$ $28-32$ $32-36$

Frequency $6$ $8$ $17$ $23$ $16$ $15$ $f$ $4$ $3$

Similar Questions

In a maths test taken by $40$ students,the average score of $30$ boys is $16$ and the average score of $10$ girls is $12$. Which of the following gives the average score of the whole class?

Consider the data:

Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$

Frequency $4$ $5$ $13$ $20$ $14$ $7$ $4$

The difference between the upper limit of the median class and the lower limit of the modal class is:

In the formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$ for the mean,$d_{i} = \dots$

$\Sigma(x_{i} - \bar{x}) = \ldots \ldots \ldots$

For some given data,if $M + \bar{x} = 165$ and $M - \bar{x} = 1$,then $Z = \dots$

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The mean of the following data is $16.$ Find the missing frequency $f.$ Class $0-4$ $4-8$ $8-12$ $12-16$ $16-20$ $20-24$ $24-28$ $28-32$ $32-36$ Frequency $6$ $8$ $17$ $23$ $16$ $15$ $f$ $4$ $3$