The frequency distribution table of agricultu | vedclass

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(C) Here,the maximum class frequency is $80,$ and the class corresponding to this frequency is $5-7.$So,the modal class is $5-7.$$l$ (lower limit of m

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$6.2$

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(C) Here,the maximum class frequency is $80,$ and the class corresponding to this frequency is $5-7.$So,the modal class is $5-7.$$l$ (lower limit of modal class) $= 5$$f_{1}$ (frequency of the modal class) $= 80$$f_{0}$ (frequency of the class preceding the modal class) $= 45$$f_{2}$ (frequency of the class succeeding the modal class) $= 55$$h$ (class size) $= 2$Mode $= l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} ight) 	imes h$Mode $= 5 + \left( \frac{80 - 45}{2(80) - 45 - 55} ight) 	imes 2$Mode $= 5 + \left( \frac{35}{160 - 100} ight) 	imes 2$Mode $= 5 + \left( \frac{35}{60} ight) 	imes 2 = 5 + \frac{35}{30}$Mode $= 5 + 1.166... \approx 6.17$ (Rounding to $6.2$ as per options).Hence,the modal agricultural holdings of the village is $6.2$ hectares.

Area of land (in hectares)	$1-3$	$3-5$	$5-7$	$7-9$	$9-11$	$11-13$
Number of families	$20$	$45$	$80$	$55$	$40$	$12$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$6$	$8$	$17$	$x$	$42$	$30$	$y$	$8$

Class	$1-3$	$3-5$	$5-7$	$7-9$	$9-11$
Frequency	$6$	$3$	$8$	$2$	$1$

Class	$4-8$	$8-12$	$12-16$	$16-20$	$20-24$	$24-28$
Frequency	$9$	$8$	$12$	$7$	$15$	$1$

The frequency distribution table of agricultural holdings in a village is given below:

Area of land (in hectares) $1-3$ $3-5$ $5-7$ $7-9$ $9-11$ $11-13$

Number of families $20$ $45$ $80$ $55$ $40$ $12$

Find the modal agricultural holdings of the village (in hectares).

Similar Questions

The mode of the following frequency distribution is $46$ and the total frequency is $150$. Find the missing frequencies $x$ and $y$.

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $6$ $8$ $17$ $x$ $42$ $30$ $y$ $8$

For the calculation of mode of the following frequency distribution,$f_{0} = \dots \dots \dots \dots \dots$

Class $1-3$ $3-5$ $5-7$ $7-9$ $9-11$

Frequency $6$ $3$ $8$ $2$ $1$

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

The mode of the observations $4, 5, 6, 3, 4, 3, 3, 2, 3, 5$ is $\ldots \ldots \ldots \ldots .$

The modal class of the following frequency distribution is ........
Class $4-8$ $8-12$ $12-16$ $16-20$ $20-24$ $24-28$
Frequency $9$ $8$ $12$ $7$ $15$ $1$

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The frequency distribution table of agricultural holdings in a village is given below: Area of land (in hectares) $1-3$ $3-5$ $5-7$ $7-9$ $9-11$ $11-13$ Number of families $20$ $45$ $80$ $55$ $40$ $12$ Find the modal agricultural holdings of the village (in hectares).