The weight of coffee in 70 packets is shown i | vedclass

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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 $

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$201.7$

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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 $l = 201$,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
$200-201$	$12$
$201-202$	$26$
$202-203$	$20$
$203-204$	$9$
$204-205$	$2$
$205-206$	$1$

Class	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$	$80-90$	$90-100$
Frequency	$5$	$7$	$12$	$10$	$8$	$6$	$2$

Class	$10-25$	$25-40$	$40-55$	$55-70$	$70-85$	$85-100$
Frequency	$5$	$21$	$21$	$8$	$25$	$20$

Class	$0-15$	$15-30$	$30-45$	$45-60$	$60-75$	$75-90$	$90-105$
Frequency	$4$	$5$	$23$	$45$	$66$	$42$	$15$

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

Midpoint (Midvalue) of the class $15-30$ is ........

Find the mean,median and mode of the following frequency distribution:

Class $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ $80-90$ $90-100$

Frequency $5$ $7$ $12$ $10$ $8$ $6$ $2$

The median class in the following frequency distribution is $\ldots \ldots \ldots \ldots .$

Class $10-25$ $25-40$ $40-55$ $55-70$ $70-85$ $85-100$

Frequency $5$ $21$ $21$ $8$ $25$ $20$

In the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times h$ for the median,$h = \ldots \ldots \ldots$

Find the mode of the following frequency distribution:

Class $0-15$ $15-30$ $30-45$ $45-60$ $60-75$ $75-90$ $90-105$

Frequency $4$ $5$ $23$ $45$ $66$ $42$ $15$

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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 $g$).