Select the correct alternative in each of the following. Indicate your choice by the appropriate letter only.
Let $$S$$ be the standard deviation of $$n$$ observations. Each of the $$n$$ observations is multiplied by a constant $$c.$$ Then the standard deviation of the resulting number is
A.
$$s$$
B.
$$c\,\, s$$
C.
$$s\sqrt c $$
D.
none of these
Answer :
$$c\,\, s$$
Solution :
If each of $$n$$ observations is multiplied by a constant $$C,$$ the standard deviation also gets multiplied by $$C.$$
Releted MCQ Question on Statistics and Probability >> Statistics
Releted Question 1
Select the correct alternative in each of the following. Indicate your choice by the appropriate letter only.
Let $$S$$ be the standard deviation of $$n$$ observations. Each of the $$n$$ observations is multiplied by a constant $$c.$$ Then the standard deviation of the resulting number is
Consider any set of 201 observations $${x_1},{x_2},.....\,{x_{200}},\,{x_{201}}.$$ It is given that $${x_1}\, < \,{x_2}\, < \,.....\, < {x_{200}}\, < {x_{201}}.$$ Then the mean deviation of this set of observations about a point $$k$$ is minimum when $$k$$ equals
In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?