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 $46$.

Number of pages written per day	$16-18$	$19-21$	$22-24$	$25-27$	$28-30$
Number of days	$1$	$3$	$4$	$9$	$13$

Class	$10-25$	$25-40$	$40-55$	$55-70$	$70-85$	$85-100$
Frequency	$5$	$21$	$21$	$8$	$25$	$20$

Number of seats	$100-104$	$104-108$	$108-112$	$112-116$	$116-120$
Frequency	$15$	$20$	$32$	$18$	$15$

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

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

For the calculations of mode of a grouped data,the maximum frequency of a class is denoted by $\ldots \ldots \ldots . .$

The following table gives the number of pages written by Sarika for completing her own book over $30$ days:

Number of pages written per day $16-18$ $19-21$ $22-24$ $25-27$ $28-30$

Number of days $1$ $3$ $4$ $9$ $13$

Find the mean number of pages written per day.

The median class in the following frequency distribution is $\ldots \ldots \ldots \ldots .$

Class $10-25$ $25-40$ $40-55$ $55-70$ $70-85$ $85-100$

Frequency $5$ $21$ $21$ $8$ $25$ $20$

An aircraft has $120$ passenger seats. The number of seats occupied during $100$ flights is given in the following table:

Number of seats $100-104$ $104-108$ $108-112$ $112-116$ $116-120$

Frequency $15$ $20$ $32$ $18$ $15$

Determine the mean number of seats occupied over the flights. (in $.92$)

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