A survey conducted on 20 households in a loca | vedclass

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(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 $= 3-5$

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$3.286$

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(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	$7$	$8$	$2$	$2$	$1$

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

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$6$	$8$	$17$	$x$	$42$	$30$	$y$	$8$

Class	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$	$100-120$
Frequency	$8$	$9$	$26$	$23$	$20$	$14$

Income (in $Rs.$)	Number of families
$0-5000$	$8$
$5000-10000$	$26$
$10000-15000$	$41$
$15000-20000$	$16$
$20000-25000$	$3$
$25000-30000$	$3$
$30000-35000$	$2$
$35000-40000$	$1$

$A$ 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 mode of the following frequency distribution is $46$ and the total frequency is $150$. Find the missing frequencies $x$ and $y$.

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

Frequency $6$ $8$ $17$ $x$ $42$ $30$ $y$ $8$

Find the mode of the following frequency distribution:

Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$

Frequency $8$ $9$ $26$ $23$ $20$ $14$

The monthly income of $100$ families is given as follows:

Income (in $Rs.$) Number of families

$0-5000$ $8$

$5000-10000$ $26$

$10000-15000$ $41$

$15000-20000$ $16$

$20000-25000$ $3$

$25000-30000$ $3$

$30000-35000$ $2$

$35000-40000$ $1$

Calculate the modal income (in $Rs.$).

In the formula $Z = l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} \right) \times c$ for the mode,$c = \dots$

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$A$ 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.

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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 mode of the following frequency distribution is $46$ and the total frequency is $150$. Find the missing frequencies $x$ and $y$. Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $6$ $8$ $17$ $x$ $42$ $30$ $y$ $8$

Find the mode of the following frequency distribution: Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$ Frequency $8$ $9$ $26$ $23$ $20$ $14$

The monthly income of $100$ families is given as follows: Income (in $Rs.$) Number of families $0-5000$ $8$ $5000-10000$ $26$ $10000-15000$ $41$ $15000-20000$ $16$ $20000-25000$ $3$ $25000-30000$ $3$ $30000-35000$ $2$ $35000-40000$ $1$ Calculate the modal income (in $Rs.$).