Which of the following statements are correct?
A. The measurable characteristic of a population is called parameter.
B. Sample is a subgroup of members of the population.
C. Population is a collection of all elements having the same characteristics.
D. The difference between a population parameter and a sample statistic is known as sampling error.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → A, B, C, and D
The population is the complete group under study, a sample is a part of it, a parameter describes the population and a statistic describes the sample.
So all four statements are the standard definitions of parameter, sample, population and sampling error.
Checking the statements
(A) The measurable characteristic of a population is called parameter. — Correct. A parameter is a numerical value describing the population, such as its mean.
(B) Sample is a subgroup of members of the population. — Correct. A sample is a part of the population selected for study.
(C) Population is a collection of all elements having the same characteristics. — Correct. The population is the complete group under study.
(D) The difference between a population parameter and a sample statistic is known as sampling error. — Correct. This is the definition of sampling error.