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	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$
Frequency	$5$	$x$	$20$	$y$	$2$

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$12$	$30$	$x$	$65$	$y$	$25$	$18$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$6$	$x$	$17$	$y$	$8$

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

The median of the following frequency distribution is $50$ and the total frequency is $60$. Find the missing frequencies $x$ and $y$.

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

Frequency $5$ $x$ $20$ $y$ $2$

The median of the following frequency distribution is $46$ and the total frequency is $230$. Find the missing frequencies $x$ and $y$.

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Frequency $12$ $30$ $x$ $65$ $y$ $25$ $18$

The mean of the following data is $26.5$ and the total frequency is $60$. Find the missing frequencies $x$ and $y$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $6$ $x$ $17$ $y$ $8$

The formula $\ldots \ldots$ represents the empirical relationship between the measures of central tendency.

For some given data, if $M = 15.4$ and $\bar{x} = 14.5$, then $Z = \dots$

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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$