A survey conducted on 20 households in a loca | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Here,the maximum class frequency is $8$,and the class corresponding to this frequency is $3-5$.So,the modal class is $3-5$.Now,Modal class $= 3-5$

Vedclass · Accepted Answer

$3.286$

Vedclass · Answer

(B) Here,the maximum class frequency is $8$,and the class corresponding to this frequency is $3-5$.So,the modal class is $3-5$.Now,Modal class $= 3-5$,lower limit $(l)$ of modal class $= 3$,class size $(h) = 2$.Frequency $(f_1)$ of the modal class $= 8$.Frequency $(f_0)$ of the class preceding the modal class $= 7$.Frequency $(f_2)$ of the class succeeding the modal class $= 2$.Now,let us substitute these values in the formula:Mode $= l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$Mode $= 3 + \left( \frac{8 - 7}{2 	imes 8 - 7 - 2} ight) 	imes 2 = 3 + \frac{2}{7} = 3 + 0.286 = 3.286$.Therefore,the mode of the data above is $3.286$.

Family size	$1-3$	$3-5$	$5-7$	$7-9$	$9-11$
Number of families	$7$	$8$	$2$	$2$	$1$

Daily income (in Rs.)	$100-120$	$120-140$	$140-160$	$160-180$	$180-200$
Number of workers	$12$	$14$	$8$	$6$	$10$

Lifetimes (in hours)	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$	$100-120$
Frequency	$10$	$35$	$52$	$61$	$38$	$29$

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

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

$A$ survey conducted on $20$ households in a locality by a group of students resulted in the following frequency table for the number of family members in a household:
Family size $1-3$ $3-5$ $5-7$ $7-9$ $9-11$
Number of families $7$ $8$ $2$ $2$ $1$

Find the mode of this data.

Similar Questions

The wickets taken by a bowler in $10$ cricket matches are as follows:
$2, 6, 4, 5, 0, 2, 1, 3, 2, 3$
Find the mode of the data.

The following distribution gives the daily income of $50$ workers of a factory.
Daily income (in Rs.) $100-120$ $120-140$ $140-160$ $160-180$ $180-200$
Number of workers $12$ $14$ $8$ $6$ $10$

Convert the distribution above to a less than type cumulative frequency distribution,and draw its ogive.

The following data provides information on the observed lifetimes (in $hours$) of $225$ electrical components:
Lifetimes (in hours) $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$
Frequency $10$ $35$ $52$ $61$ $38$ $29$

Determine the modal lifetimes of the components.

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 $2$ $3$ $8$ $6$ $6$ $3$ $2$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$A$ survey conducted on $20$ households in a locality by a group of students resulted in the following frequency table for the number of family members in a household:Family size$1-3$$3-5$$5-7$$7-9$$9-11$Number of families$7$$8$$2$$2$$1$Find the mode of this data.

Similar Questions

The wickets taken by a bowler in $10$ cricket matches are as follows:$2, 6, 4, 5, 0, 2, 1, 3, 2, 3$Find the mode of the data.

The following distribution gives the daily income of $50$ workers of a factory.Daily income (in Rs.)$100-120$$120-140$$140-160$$160-180$$180-200$Number of workers$12$$14$$8$$6$$10$Convert the distribution above to a less than type cumulative frequency distribution,and draw its ogive.

The following data provides information on the observed lifetimes (in $hours$) of $225$ electrical components:Lifetimes (in hours)$0-20$$20-40$$40-60$$60-80$$80-100$$100-120$Frequency$10$$35$$52$$61$$38$$29$Determine the modal lifetimes of the components.

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.

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$