Find the mode of the given frequency distribu | vedclass

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(D) The modal class is the class with the highest frequency. Here,the class $30-40$ has the highest frequency of $45$.Here,$l = 30$,$f_1 = 45$,$f_0 =

Vedclass · Accepted Answer

$36$

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(D) The modal class is the class with the highest frequency. Here,the class $30-40$ has the highest frequency of $45$.Here,$l = 30$,$f_1 = 45$,$f_0 = 30$,$f_2 = 35$,and $h = 10$.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} = 30 + \left( \frac{45 - 30}{2(45) - 30 - 35} ight) 	imes 10$$	ext{Mode} = 30 + \left( \frac{15}{90 - 65} ight) 	imes 10$$	ext{Mode} = 30 + \left( \frac{15}{25} ight) 	imes 10$$	ext{Mode} = 30 + \left( \frac{3}{5} ight) 	imes 10 = 30 + 6 = 36$.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
$f_i$	$2$	$18$	$30$	$45$	$35$	$20$	$6$	$3$

Find the mode of the given frequency distribution.

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

$f_i$ $2$ $18$ $30$ $45$ $35$ $20$ $6$ $3$

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Find the mode of the given frequency distribution. Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ $f_i$ $2$ $18$ $30$ $45$ $35$ $20$ $6$ $3$