The mode of the following frequency distribut | vedclass

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(C) The mode is given as $37$. Since $37$ lies in the class interval $30-40$,the modal class is $30-40$.The formula for mode is: $	ext{Mode} = l + \l

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$11$

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(C) The mode is given as $37$. Since $37$ lies in the class interval $30-40$,the modal class is $30-40$.The formula for mode is: $	ext{Mode} = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$Here,$l = 30$ (lower limit of modal class),$h = 10$ (class size),$f_1 = 18$ (frequency of modal class),$f_0 = x$ (frequency of preceding class),and $f_2 = 15$ (frequency of succeeding class).Substituting the values: $37 = 30 + \left( \frac{18 - x}{2(18) - x - 15} ight) 	imes 10$$37 - 30 = \left( \frac{18 - x}{36 - 15 - x} ight) 	imes 10$$7 = \left( \frac{18 - x}{21 - x} ight) 	imes 10$$7(21 - x) = 10(18 - x)$$147 - 7x = 180 - 10x$$10x - 7x = 180 - 147$$3x = 33$$x = 11$.

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

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$7$	$12$	$x$	$28$	$y$	$9$

Class	$0-100$	$100-200$	$200-300$	$300-400$	$400-500$	$500-600$
Frequency	$12$	$18$	$27$	$20$	$17$	$6$

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 $4$ $7$ $x$ $18$ $15$ $8$ $7$

Similar Questions

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

The mode of the following data is $33 \frac{1}{3}$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

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

Frequency $7$ $12$ $x$ $28$ $y$ $9$

For the calculation of mode of the following frequency distribution,$f_{1} = \dots \dots \dots \dots \dots \dots$

Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$

Frequency $12$ $18$ $27$ $20$ $17$ $6$

The formula to find the mode of a grouped data is $\ldots \ldots \ldots . . .$

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

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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$