The given distribution shows the number of ru | vedclass

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Question

(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
$3000-4000$	$4$
$4000-5000$	$18$
$5000-6000$	$9$
$6000-7000$	$7$
$7000-8000$	$6$
$8000-9000$	$3$
$9000-10000$	$1$
$10000-11000$	$1$

Age (in years)	$5$-$15$	$15$-$25$	$25$-$35$	$35$-$45$	$45$-$55$	$55$-$65$
Number of patients	$6$	$11$	$21$	$23$	$14$	$5$

Marks obtained $(x_{i})$	$10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$
Number of students $(f_{i})$	$1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$

Age (in years)	Number of policy holders
Below $20$	$2$
Below $25$	$6$
Below $30$	$24$
Below $35$	$45$
Below $40$	$78$
Below $45$	$89$
Below $50$	$92$
Below $55$	$98$
Below $60$	$100$

Number of cars	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$7$	$14$	$13$	$12$	$20$	$11$	$15$	$8$

Similar Questions

The distribution below gives the weights of $30$ students of a class. Find the median weight of the students.
Weight (in kg) $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$
Number of students $2$ $3$ $8$ $6$ $6$ $3$ $2$

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Weight (in kg)	$40-45$	$45-50$	$50-55$	$55-60$	$60-65$	$65-70$	$70-75$
Number of students	$2$	$3$	$8$	$6$	$6$	$3$	$2$

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.

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$A$ student noted the number of cars passing through a spot on a road for $100$ periods each of $3\, \text{minutes}$ and summarized it in the table given below. Find the mode of the data:Number of cars$0-10$$10-20$$20-30$$30-40$$40-50$$50-60$$60-70$$70-80$Frequency$7$$14$$13$$12$$20$$11$$15$$8$

The distribution below gives the weights of $30$ students of a class. Find the median weight of the students.Weight (in kg)$40-45$$45-50$$50-55$$55-60$$60-65$$65-70$$70-75$Number of students$2$$3$$8$$6$$6$$3$$2$

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The distribution below gives the weights of $30$ students of a class. Find the median weight of the students.
Weight (in kg) $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$
Number of students $2$ $3$ $8$ $6$ $6$ $3$ $2$