Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

Which of the following are true?

A. Population mean is a statistic.
B. Population mean is denoted by $\bar{x}$.
C. Sample Variance is a statistic.
D. Sample standard deviation is a statistic.
E. Population variance is a parameter.

Choose the correct answer from the options given below:

Options:

A and B only

B only

C, D and E only

A, B and E only

Correct Answer:

C, D and E only

Explanation:

The correct answer is Option (3) → C, D and E only

$\text{(A)}\; \text{Population mean is a parameter, not a statistic} \Rightarrow \text{False}$

$\text{(B)}\; \text{Population mean is denoted by } \mu,\; \bar{x} \text{ is sample mean} \Rightarrow \text{False}$

$\text{(C)}\; \text{Sample variance is computed from sample} \Rightarrow \text{Statistic} \Rightarrow \text{True}$

$\text{(D)}\; \text{Sample standard deviation is also a statistic} \Rightarrow \text{True}$

$\text{(E)}\; \text{Population variance is a parameter} \Rightarrow \text{True}$

The correct statements are C, D and E.