Question

find the mode with this formula Mode=3(Median) - 2(Mean). The question is 29, 34, 38, 25, 25, 19, 25, 16, 37, 21, 25​

Answer 1

▶ Question :-


→ Find the mode with this formula Mode=3(Median) - 2(Mean). The question is 29, 34, 38, 25, 25, 19, 25, 16, 37, 21, 25​ .


▶ Answer :-


First arrange the data in increasing order .

→ 16, 19, 21, 25, 25, 25, 25, 29, 34, 37, 38 .


▶ Now,

°•° mean = ( Sum of all observations )/( Number of observation ) .


==> mean = $\frac{16 + 19 + 21 + 25 + 25 + 25 + 25 + 29 + 34 + 37 + 38 }{11} .$

==> mean = 275/11 .


•°• mean = 25 .


▶ Median .

→ n = 11 ( odd ) .

°•° median = ( n + 1 )/2 th term .

= ( 11 + 1 ) 2 th term .

= 12/2 th term .

= 6th term .

= 25 .



▶ using formula for finding mode .

°•° mode = 3( median ) - 2 ( mean ) .

= 3( 25 ) - 2( 25 ) .

= 75 - 50 .

= 25 .


✔✔ Hence, it is solved ✅✅.


THANKS

Answer 2

$\huge \bf \red{ \mid{ \overline{ \underline{ANSWER}}} \mid}$




$\bf{QUESTION}$
find the mode with this formula Mode=3(Median) - 2(Mean). The question is 29, 34, 38, 25, 25, 19, 25, 16, 37, 21, 25​


Data in ascending order

16, 19, 21, 25, 25, 25, 25, 29, 34, 37, 38 .



°•° mean = ( Sum of all observations )/( Number of observation ) .


$\bf{mean = \frac{16 + 19 + 21 + 25 + 25 + 25 + 25 + 29 + 34 + 37 + 38 }{11}}$


$\bf{mean = \frac{275}{11}}$

$\bf{mean = 25}$
NOW,



Median

> n = 11 ( which is odd )

median = ( n + 1 )/2 th term

=> ( 11 + 1 ) 2 th term .

=> 12/2 th term .

= > 6th term .

= > 25 .

Mode = 3median-2mean

= 3( 25 ) - 2( 25 )

= 75 - 50 .

= 25 .


$\huge \bf {\mid{THANKS} \mid}$