Question

answer this question​

Answer 1

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \: SOLUTION \: \red{ \mid}}}}}}}}$

$\underline{ \bold{ \: \: GIVEN \: : }} \to \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{Median \: = \: 60} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{Mean \: = \: 61}$

$\underline{ \bold{ \: \: TO \: \: FIND \: : }} \to \: \: \: \: \: \: \bold{Mode = ? }$

$\underline{ \bold{ \: \: We \: \: know \: \: that \: \: }} \\ \\ \boxed{ \bold{3 \: Median = 2 \: Mean \: + \: Mode}}$

$\underline{ \bold{ \: \: Using \: \: this \: \: formula \: \: }} \\ \\ \bold{3 \: Median \: = \: 2 \: Mean \: + \: Mode} \\ \\ \bold{ \Longrightarrow \: \: 2 \: Mean \: + \: Mode \: = \: 3 \:Median \: } \\ \\ \bold{ \Longrightarrow \: \underline{ \: \: Mode \: = \: 3 \: Median \: - \: 2 \: Mean \: \: }}$

$\underline{ \bold{ \: \: Putting \: \: the \: \: values \: \: in \: \: the \: \: formula \: \: }} \\ \\ \bold{Mode \: = \: 3 \: \times \: 60 \: - \: 2 \: \times \: 61} \\ \\ \bold{ \Longrightarrow \: \: Mode \: = \: 180 \: - \: 122} \\ \\ \bold{ \: \: \: \: \: \therefore \: \: Mode \: = \: 58}$

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \: ANSWER \: \red{ \mid}}}}}}}}$

$\underline{\boxed{\boxed{\mathbb{\red{ \: \: (1) \: \: 58 \: \: }}}}}$

Answer 2

ANSWER :- (1) 58

SOLUTION :-

GIVEN :- Median = 60

Mean = 61

Mode = ?

We know that,

3 Median = 2 Mean + Mode

Putting the given values in the formula ,

3 × 60 = 2 × 61 + Mode

=> 180 = 122 + Mode

=> 122 + Mode = 180

=> Mode = 180 - 122

•°• Mode = 58