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(D) From the given data,the maximum class frequency is $18$,which corresponds to the class interval $4000-5000$.Therefore,the modal class is $4000-500

Vedclass · Accepted Answer

$4608.7$

Vedclass · Answer

(D) From the given data,the maximum class frequency is $18$,which corresponds to the class interval $4000-5000$.Therefore,the modal class is $4000-5000$.Lower limit $(l)$ of the modal class $= 4000$.Frequency $(f_1)$ of the modal class $= 18$.Frequency $(f_0)$ of the class preceding the modal class $= 4$.Frequency $(f_2)$ of the class succeeding the modal class $= 9$.Class size $(h) = 1000$.The formula for mode is:$	ext{Mode} = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$Substituting the values:$	ext{Mode} = 4000 + \left( \frac{18 - 4}{2(18) - 4 - 9} ight) 	imes 1000$$	ext{Mode} = 4000 + \left( \frac{14}{36 - 13} ight) 	imes 1000$$	ext{Mode} = 4000 + \left( \frac{14}{23} ight) 	imes 1000$$	ext{Mode} = 4000 + \frac{14000}{23}$$	ext{Mode} = 4000 + 608.695...$$	ext{Mode} \approx 4608.7$Therefore,the mode of the given data is $4608.7$ runs.

Runs scored	Number of batsmen
$3000-4000$	$4$
$4000-5000$	$18$
$5000-6000$	$9$
$6000-7000$	$7$
$7000-8000$	$6$
$8000-9000$	$3$
$9000-10000$	$1$
$10000-11000$	$1$

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	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$7$	$16$	$25$	$32$	$20$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Frequency	$4$	$7$	$x$	$18$	$15$	$8$	$7$

Marks	Number of students
Below $10$	$3$
Below $20$	$12$
Below $30$	$27$
Below $40$	$57$
Below $50$	$75$
Below $60$	$80$

Similar Questions

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).

For the following data,the modal class is .... .
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $7$ $16$ $25$ $32$ $20$

The mode of the following frequency distribution is $37$. Find the missing frequency $x$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$
Frequency $4$ $7$ $x$ $18$ $15$ $8$ $7$

For the following distribution,the modal class is:

Marks Number of students

Below $10$ $3$

Below $20$ $12$

Below $30$ $27$

Below $40$ $57$

Below $50$ $75$

Below $60$ $80$

In a frequency distribution,the modal class is $70-85$ with frequency $25$. The frequencies of the classes succeeding and preceding the modal class are $20$ and $8$ respectively. Then,the values of $f_{0}, f_{1}$ and $f_{2}$ are respectively.

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The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.Runs scoredNumber of batsmen$3000-4000$$4$$4000-5000$$18$$5000-6000$$9$$6000-7000$$7$$7000-8000$$6$$8000-9000$$3$$9000-10000$$1$$10000-11000$$1$Find the mode of the data.

Similar Questions

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).

For the following data,the modal class is .... . Class$0-10$$10-20$$20-30$$30-40$$40-50$Frequency$7$$16$$25$$32$$20$

The mode of the following frequency distribution is $37$. Find the missing frequency $x$.Class$0-10$$10-20$$20-30$$30-40$$40-50$$50-60$$60-70$Frequency$4$$7$$x$$18$$15$$8$$7$

For the following distribution,the modal class is: Marks Number of students Below $10$ $3$ Below $20$ $12$ Below $30$ $27$ Below $40$ $57$ Below $50$ $75$ Below $60$ $80$