Find the mode of the following frequency dist | vedclass

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(B) First,we convert the class intervals into continuous form by subtracting $0.5$ from the lower limit and adding $0.5$ to the upper limit.						Clas

Vedclass · Accepted Answer

$23.83$

Vedclass · Answer

(B) First,we convert the class intervals into continuous form by subtracting $0.5$ from the lower limit and adding $0.5$ to the upper limit.						Class			$0.5 - 10.5$			$10.5 - 20.5$			$20.5 - 30.5$			$30.5 - 40.5$			$40.5 - 50.5$							$f_i$			$5$			$7$			$8$			$6$			$4$			The modal class is $20.5 - 30.5$ as it has the highest frequency $f_1 = 8$.Here,$\ell = 20.5$,$f_1 = 8$,$f_0 = 7$,$f_2 = 6$,and $h = 10$.Mode $= \ell + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$Mode $= 20.5 + \left( \frac{8 - 7}{2(8) - 7 - 6} ight) 	imes 10$Mode $= 20.5 + \left( \frac{1}{16 - 13} ight) 	imes 10$Mode $= 20.5 + \frac{10}{3} = 20.5 + 3.33 = 23.83$.

Class	$0-5$	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$
Frequency $(f_i)$	$3$	$4$	$7$	$11$	$2$	$5$

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 following frequency distribution.

Class $1 - 10$ $11 - 20$ $21 - 30$ $31 - 40$ $41 - 50$

$f_i$ $5$ $7$ $8$ $6$ $4$

Similar Questions

Determine which of the following statements is true: $(1)$ The mode can be calculated using a histogram. $(2)$ The median is not independent of the change of scale. $(3)$ Variance is independent of the change of origin and scale.

The mode of the following frequency distribution is:

Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$

Frequency $(f_i)$ $3$ $4$ $7$ $11$ $2$ $5$

Find the mode of the given frequency distribution.

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

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

If $\text{Mean} = x(3 \times \text{Median} - \text{Mode})$,then what is the value of $x$?

If in a moderately asymmetrical distribution,the mode and mean of the data are $6 \lambda$ and $9 \lambda$ respectively,then the median is:

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Class	$1 - 10$	$11 - 20$	$21 - 30$	$31 - 40$	$41 - 50$
$f_i$	$5$	$7$	$8$	$6$	$4$

Find the mode of the following frequency distribution. Class $1 - 10$ $11 - 20$ $21 - 30$ $31 - 40$ $41 - 50$ $f_i$ $5$ $7$ $8$ $6$ $4$