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(A) In the given data,the highest frequency is $26,$ which corresponds to the modal class interval $201-202$.Here,the lower limit of the modal class $

Vedclass · Accepted Answer

$201.7$

Vedclass · Answer

(A) In the given data,the highest frequency is $26,$ which corresponds to the modal class interval $201-202$.Here,the lower limit of the modal class $l = 201$,the frequency of the modal class $f_m = 26$,the frequency of the class preceding the modal class $f_1 = 12$,the frequency of the class succeeding the modal class $f_2 = 20$,and the class width $h = 1$.The formula for the mode is:$	ext{Mode} = l + \left( \frac{f_m - f_1}{2f_m - f_1 - f_2} ight) 	imes h$Substituting the values:$	ext{Mode} = 201 + \left( \frac{26 - 12}{2 	imes 26 - 12 - 20} ight) 	imes 1$$= 201 + \left( \frac{14}{52 - 32} ight)$$= 201 + \frac{14}{20} = 201 + 0.7 = 201.7 \, g$.Hence,the modal weight is $201.7 \, g$.

Weight (in $g$)	Number of packets
$200-201$	$12$
$201-202$	$26$
$202-203$	$20$
$203-204$	$9$
$204-205$	$2$
$205-206$	$1$

Income (in $Rs.$)	Number of families
$0-5000$	$8$
$5000-10000$	$26$
$10000-15000$	$41$
$15000-20000$	$16$
$20000-25000$	$3$
$25000-30000$	$3$
$30000-35000$	$2$
$35000-40000$	$1$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$4$	$5$	$9$	$10$	$14$	$8$

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$12$	$30$	$x$	$65$	$y$	$25$	$18$

The weight of coffee in $70$ packets is shown in the following table:

Weight (in $g$) Number of packets

$200-201$ $12$

$201-202$ $26$

$202-203$ $20$

$203-204$ $9$

$204-205$ $2$

$205-206$ $1$

Determine the modal weight (in $g$).

Similar Questions

The monthly income of $100$ families is given as follows:

Income (in $Rs.$) Number of families

$0-5000$ $8$

$5000-10000$ $26$

$10000-15000$ $41$

$15000-20000$ $16$

$20000-25000$ $3$

$25000-30000$ $3$

$30000-35000$ $2$

$35000-40000$ $1$

Calculate the modal income (in $Rs.$).

Cumulative frequency curve is also known as ........

For a given frequency distribution,the frequencies of the first,second,and third class are $8$,$15$,and $18$ respectively. Then,the cumulative frequency of the third class is $\ldots \ldots \ldots \ldots .$

The median class of the following frequency distribution is ...........
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Frequency $4$ $5$ $9$ $10$ $14$ $8$

Total frequency $n = 50$.

The median of the following frequency distribution is $46$ and the total frequency is $230$. Find the missing frequencies $x$ and $y$.

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

Frequency $12$ $30$ $x$ $65$ $y$ $25$ $18$

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The weight of coffee in $70$ packets is shown in the following table: Weight (in $g$) Number of packets $200-201$ $12$ $201-202$ $26$ $202-203$ $20$ $203-204$ $9$ $204-205$ $2$ $205-206$ $1$ Determine the modal weight (in $g$).