Find the mode of the following frequency dist | vedclass

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(B) The modal class is the class with the highest frequency. Here,the highest frequency is $37$,which corresponds to the class interval $200-300$.Thus

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$240$

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(B) The modal class is the class with the highest frequency. Here,the highest frequency is $37$,which corresponds to the class interval $200-300$.Thus,the modal class is $200-300$.We use the formula for mode: $Z = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$Where:$l$ (lower limit of modal class) $= 200$$h$ (class size) $= 100$$f_1$ (frequency of modal class) $= 37$$f_0$ (frequency of the class preceding the modal class) $= 21$$f_2$ (frequency of the class succeeding the modal class) $= 13$Substituting these values into the formula:$Z = 200 + \left( \frac{37 - 21}{2(37) - 21 - 13} ight) 	imes 100$$Z = 200 + \left( \frac{16}{74 - 34} ight) 	imes 100$$Z = 200 + \left( \frac{16}{40} ight) 	imes 100$$Z = 200 + 0.4 	imes 100$$Z = 200 + 40 = 240$Therefore,the mode of the given frequency distribution is $240$.

Income (in $Rs.$)	Number of families
$0-5000$	$8$
$5000-10000$	$26$
$10000-15000$	$41$
$15000-20000$	$16$
$20000-25000$	$3$
$25000-30000$	$3$
$30000-35000$	$2$
$35000-40000$	$1$

Class	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$	$100-120$
Frequency	$8$	$9$	$26$	$23$	$20$	$14$

Find the mode of the following frequency distribution:

Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$

Frequency $7$ $21$ $37$ $13$ $12$ $10$

Similar Questions

In the formula $Z = l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} \right) \times c$,$f_{1}$ represents:

If the modal class of a frequency distribution is $70-85,$ then in the formula for mode,$l=$ ..........

The monthly income of $100$ families is given as follows:

Income (in $Rs.$) Number of families

$0-5000$ $8$

$5000-10000$ $26$

$10000-15000$ $41$

$15000-20000$ $16$

$20000-25000$ $3$

$25000-30000$ $3$

$30000-35000$ $2$

$35000-40000$ $1$

Calculate the modal income (in $Rs.$).

Find the mode of the following frequency distribution:

Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$

Frequency $8$ $9$ $26$ $23$ $20$ $14$

In the formula $Z = l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} \right) \times c$ for the mode,$f_{2} = \ldots \ldots \ldots$

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Find the mode of the following frequency distribution: Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$ Frequency $7$ $21$ $37$ $13$ $12$ $10$