The mean of 10 observations is 48. If each ob | vedclass

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(C) Let the $10$ observations be $x_1, x_2, ..., x_{10}$.The mean of these observations is given by $\bar{x} = \frac{\sum_{i=1}^{10} x_i}{10} = 48$.Th

Vedclass · Accepted Answer

$16$

Vedclass · Answer

(C) Let the $10$ observations be $x_1, x_2, ..., x_{10}$.The mean of these observations is given by $\bar{x} = \frac{\sum_{i=1}^{10} x_i}{10} = 48$.Therefore,the sum of the observations is $\sum_{i=1}^{10} x_i = 48 	imes 10 = 480$.If each observation is divided by $3$,the new observations are $\frac{x_1}{3}, \frac{x_2}{3}, ..., \frac{x_{10}}{3}$.The new mean $\bar{x}'$ is given by $\bar{x}' = \frac{\sum_{i=1}^{10} (x_i / 3)}{10}$.$\bar{x}' = \frac{1}{3} 	imes \left( \frac{\sum_{i=1}^{10} x_i}{10} ight)$.Substituting the value of the original mean,we get $\bar{x}' = \frac{1}{3} 	imes 48 = 16$.Thus,the new mean is $16$.

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Number of Students	$10$	$15$	$20$	$25$

The mean of $10$ observations is $48$. If each observation is divided by $3$,what will be the new mean?

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