The mean of 10 observations is 52. If 12 is s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the $10$ observations be $x_1, x_2, ..., x_{10}$.The mean of these observations is given by $\bar{x} = \frac{\sum_{i=1}^{10} x_i}{10} = 52$.Th

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(D) Let the $10$ observations be $x_1, x_2, ..., x_{10}$.The mean of these observations is given by $\bar{x} = \frac{\sum_{i=1}^{10} x_i}{10} = 52$.Therefore,the sum of the observations is $\sum_{i=1}^{10} x_i = 52 	imes 10 = 520$.When $12$ is subtracted from each of the $10$ observations,the new sum becomes $\sum_{i=1}^{10} (x_i - 12) = \sum_{i=1}^{10} x_i - (10 	imes 12) = 520 - 120 = 400$.The new mean is $\frac{400}{10} = 40$.Alternatively,if a constant $k$ is subtracted from each observation,the new mean is the original mean minus $k$. Thus,$52 - 12 = 40$.

The mean of $10$ observations is $52$. If $12$ is subtracted from each observation,then the mean of the new observations so obtained is:

Similar Questions

$A$ child says that the median of $3, 14, 18, 20, 5$ is $18$. What does the child not understand about finding the median?

The mean of natural numbers between $1$ to $20$ which are multiples of $3$ is ..........

To present a large amount of data so that a reader can make sense of it easily,the variable values are condensed into groups called ..........

If the mean of $20$ observations is $27.2$,then $\Sigma f_{i} x_{i}$ is ............

Classifying the observations $0, 3, 2, 5, 7, 8, 10, 12, 5, 6, 6, 4, 14, 18, 20$ of a data,the frequency of class $0-5$ is ........

Vedclass Test Series

Exam Paper Generator

Online Exam Module