Find the mode of the following frequency dist | vedclass

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(B) The formula for the mode of a grouped frequency distribution is given by:$Mode = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$$1

Vedclass · Accepted Answer

$46$

Vedclass · Answer

(B) The formula for the mode of a grouped frequency distribution is given by:$Mode = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$$1$. Identify the modal class: The class with the highest frequency is $40-50$,so the modal class is $40-50$.$2$. Identify the parameters:- Lower limit of the modal class $(l)$ = $40$- Frequency of the modal class $(f_1)$ = $42$- Frequency of the class preceding the modal class $(f_0)$ = $24$- Frequency of the class succeeding the modal class $(f_2)$ = $30$- Class size $(h)$ = $10$$3$. Substitute the values into the formula:$Mode = 40 + \left( \frac{42 - 24}{2(42) - 24 - 30} ight) 	imes 10$$Mode = 40 + \left( \frac{18}{84 - 54} ight) 	imes 10$$Mode = 40 + \left( \frac{18}{30} ight) 	imes 10$$Mode = 40 + \left( \frac{18}{3} ight) = 40 + 6 = 46$Thus,the mode is $46$.

Class	$0-5$	$5-10$	$10-15$	$15-20$	$20-25$
Frequency	$10$	$15$	$12$	$20$	$9$

Class	$0-15$	$15-30$	$30-45$	$45-60$	$60-75$	$75-90$	$90-105$
Frequency	$4$	$5$	$23$	$45$	$66$	$42$	$15$

Mileage $(km/l)$	$10-12$	$12-14$	$14-16$	$16-18$
Number of cars	$7$	$12$	$18$	$13$

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

Similar Questions

For a given frequency distribution,the cumulative frequency of the fourth class is $25$ and the frequency of the fourth class is $10$. Then,the cumulative frequency of the third class is ...............

For the following distribution:

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

Frequency $10$ $15$ $12$ $20$ $9$

the sum of the lower limits of the median class and the modal class is:

Find the mode of the following frequency distribution:

Class $0-15$ $15-30$ $30-45$ $45-60$ $60-75$ $75-90$ $90-105$

Frequency $4$ $5$ $23$ $45$ $66$ $42$ $15$

The mean of ungrouped data and the mean calculated when the same data is grouped are always the same. Do you agree with this statement? Give reason for your answer.

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