Question

The Average of 8 observation is 24, if one more observation of 33, is added then the new average will be ?
A, 24
B, 20
C, 28
D, 25​

Answer 1

$\textbf{Given:}$

$\text{Sum of 8 observation is 24}$

$\textbf{To find:}$

$\text{The new average if one more observation of 33 is added}$

$\textbf{Solution:}$

$\text{We know that,}$

$\bf\textbf{Average}=\dfrac{\textbf{Sum of the observations}}{\textbf{No.of observations}}$

$\implies\,\text{Sum of the 8 observations}=8{\times}24=192$

$\text{when the 9 th observation is added,}$

$\text{Sum of the 9 observations}=192+33=225$

$\textbf{New average}=\dfrac{\textbf{Sum of the 9 observations}}{9}$

$\textbf{New average}=\dfrac{225}{9}$

$\textbf{New average}=25$

$\textbf{Answer:}$

$\therefore\textbf{Option (D) is correct}$

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