Question

find the mode of following ferquency distribution. class interval: 25-30,30-35,35-40,40-45,45-50,50-55. ftequency:25,34,50,42,38,15​

Answer 1

$\bigstar \: \: \large\underline{\underline{ \rm Question : - }}$

find the mode of following ferquency distribution.

class interval: 25-30,30-35,35-40,40-45,45-50,50-55.

ftequency:25,34,50,42,38,15.

$\bigstar \: \: \large\underline{\underline{ \rm Answer : - }}$

$\longrightarrow$ 38.33

$\bigstar \: \: \large\underline{\underline{ \rm Given : - }}$

class interval :- 25-30,30-35,35-40,40-45,45-50,50-55.

ftequency:25,34,50,42,38,15.

$\bigstar \: \: \large\underline{\underline{ \rm Solution : - }}$

$\sf{\boxed{ \sf \: class \: interval \: \mid 25 - 30\mid \: 30 - 35\mid \: 35 - 40 \mid \: \: 40 - 45 \mid \: 45 - 50\mid \: 50 - 55 \mid } }$

$\sf{\boxed{ \sf \: frequency \: \: \: \: \: \: \mid 25 \: \: \: \: \: \: \: \: \: \: \mid \: 34 \: \: \: \: \: \: \: \: \: \mid \: 50 \: \: \: \: \: \: \: \: \: \mid \: \: 42 \: \: \: \: \: \: \: \: \: \: \: \mid \: 38 \: \: \: \: \: \: \: \: \: \: \: \: \mid \: 14 \: \: \: \: \: \: \: \: \: \: \: \: \mid } }$

Here is maximum frequency is 50 then the corresponding class 35 - 40 is the model class

L = 35 , h = 40 - 35 = 5 ,f = 50 ,$\rm{f_1}$ = 34 ,$\rm{f_2}$ = 42.

$\: \: \: \: \rm \: \: mode \: = L + \frac{f - f_1}{2f -f_1 - f_2} \times h$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm \: = 35 + \frac{50 - 34}{2 \times 50 - 34 - 42} \times 5$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm \: = 35 + \frac{16 \times 5}{24}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\rm \: = 35 + \frac{80}{24}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \rm \: = 38.33}$

Hope it's helpful...........

Answer 2

Answer:

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