Question

Which of the following is/are true about parameter ?
A. It is a characteristic of a sample.
B. It is a characterstic of a population.
C. It is a numerical value that is taken from the entire population, such as the population mean.
D. It is the numerical value taken from a sample and calculated from the sample observations alone.
Choose the correct answer from the options given below:

• A. A only
• B. B and D only
• C. B and C only
• D. A and D only

Hint:

A parameter describes the whole population. A number computed from a sample is called a statistic.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
A population is the full group we want to study. A sample is a smaller part taken from it. A parameter is a fixed number that describes the population. A statistic is a number worked out from the sample.

Step 2: Check statement A.
A characteristic of a sample is called a statistic, not a parameter. So A is FALSE.

Step 3: Check statement B.
A parameter describes a feature of the whole population, for example its mean or its variance. So B is TRUE.

Step 4: Check statement C.
The population mean is calculated using every member of the population. It is the standard example of a parameter. So C is TRUE.

Step 5: Check statement D.
A value calculated from sample observations alone is a statistic, such as the sample mean. So D is FALSE.

Step 6: Match with the options.
Only B and C are true. Option 1 has A, which is false. Option 2 has D, which is false. Option 4 has A and D, both false. Option 3 (B and C only) is correct.

Final Answer:
A parameter is a population characteristic, so B and C are correct. This is option 3. \[ \boxed{\text{B and C only}} \]