Question

32. The arithmetic mean of the observations 9, 8, 27, 36, 45 is :
(A) 18
(C) 36
(B) 25
(D) 45​

Answer 1

$\huge\mathfrak{\bf{\underline{\underline{\blue{Answer \ :}}}}}$

$\longrightarrowㅤㅤㅤㅤ \mathsf{ мean = \frac{sum \: of \: all \: observations}{total \:no. \: of \: observations} }$

$\longrightarrowㅤㅤㅤㅤ \mathsf{ мean = \frac{9 + 8 + 27 + 36 + 45}{5} }$

$\longrightarrowㅤㅤㅤㅤ\mathsf{мean = \frac{ \cancel{125} \: ^{25} }{ \cancel5 ^{1} } }$

$\longrightarrow ㅤㅤㅤㅤ\therefore \boxed{ \mathsf{ \red{мean = 25}}}$

Answer 2

Concept

Arithmetic Mean

Given

Observations are 9, 8, 27, 36, 45.

Number of observations are 5.

To Find

Arithmetic Mean of Given observations.

Formula to be used

Arithmetic Mean =

Sum of observations / Number of observations

Solving

Sum of observations = 9 + 8 + 27 + 36 + 45

Sum of observations = 125

Number of observations = 5

Applying

Arithmetic Mean =

Sum of observations / Number of observations

= 125 / 5

= 25

Answer

So, answer is 25 that is B option.