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	$1-3$	$3-5$	$5-7$	$7-10$
Frequency	$9$	$22$	$27$	$17$

Age (years)	$30$	$40$	$50$	$60$	$70$	$80$
Cumulative Frequency	$100$	$220$	$350$	$750$	$950$	$1000$

Class	$50-70$	$70-90$	$90-110$	$110-130$	$130-150$	$150-170$
Frequency	$10$	$18$	$7$	$6$	$5$	$4$

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

Find the mode of the following frequency distribution:

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

Frequency $6$ $8$ $17$ $24$ $42$ $30$ $15$ $8$

Find the mean of the distribution:

Class $1-3$ $3-5$ $5-7$ $7-10$

Frequency $9$ $22$ $27$ $17$

The following is the cumulative frequency distribution (of less than type) of $1000$ persons each of age $20$ $years$ and above. Determine the mean age.

Age (years) $30$ $40$ $50$ $60$ $70$ $80$

Cumulative Frequency $100$ $220$ $350$ $750$ $950$ $1000$

In the formula $\bar{x} = A + \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \times c$,$u_{i} =$ .........

Find the mean of the following data by all the three methods:

Class $50-70$ $70-90$ $90-110$ $110-130$ $130-150$ $150-170$

Frequency $10$ $18$ $7$ $6$ $5$ $4$

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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).