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	$20$	$45$	$80$	$55$	$40$	$12$

Marks obtained	Number of students
More than or equal to $0$	$63$
More than or equal to $10$	$58$
More than or equal to $20$	$55$
More than or equal to $30$	$51$
More than or equal to $40$	$48$
More than or equal to $50$	$42$

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).

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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).