Statistics MCQs
Topic Notes: Statistics
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1
In the context of statistical analysis, how is a 'sample' defined?
Answer:
A portion of the population
A sample is a subset of a population selected for study. By analyzing this smaller group, researchers can make inferences about the characteristics of the entire population from which the sample was drawn, provided the sampling method is representative.
2
What term describes the numerical values derived from the analysis of a sample?
Answer:
sample statistic
A statistic is a numerical measure that describes a characteristic of a sample. In contrast, a parameter is a numerical measure that describes a characteristic of an entire population. Therefore, values calculated from sample data are referred to as sample statistics.
3
What term describes the complete collection of all elements or variables under investigation in a research study?
Answer:
population
In statistics, the population refers to the entire set of individuals, items, or observations that share a common characteristic and are the focus of a research inquiry. Researchers often study a sample to make inferences about this larger population.
4
In statistical terminology, how is a population defined?
Answer:
All subjects or objects whose characteristics are being studied
A statistical population is defined as the entire collection of individuals, items, or units that share a common characteristic of interest to the researcher. It is the complete set from which a sample is drawn. The population is not limited to humans; it can include objects, events, or measurements, provided they fall within the scope of the specific study being conducted.
5
From which data source is a statistical parameter typically calculated?
Answer:
Sample data
In statistical theory, a parameter is a numerical characteristic of an entire population. A statistic is calculated from sample data. The source answer provided (B) is factually incorrect as parameters are derived from populations, not samples. This conflict is noted.
6
Which type of data is required to compute a statistical parameter?
Answer:
Population data
A parameter is a fixed numerical value that describes a characteristic of an entire population. By definition, it is calculated using data from the complete population. In contrast, a statistic is a numerical value calculated from a sample, which serves as an estimate for the population parameter.
7
What term describes a population where the total number of individuals (N) is known and finite?
Answer:
Finite
A finite population is one where the total number of elements is countable and limited. In statistical sampling, knowing the exact size of the population (N) allows for the application of the finite population correction factor when calculating the variance of estimators, which improves accuracy.
8
What is a measure of central tendency called when it is calculated using the entire population as the dataset?
Answer:
population parameters
In statistics, a value that describes a characteristic of an entire population is known as a parameter. When the central tendency is calculated using all members of a population, the resulting value is a population parameter, such as the population mean (mu), which is distinct from a sample statistic.
9
What is the term for a fixed, unknown numerical value that characterizes an entire population?
Answer:
parameters
A parameter is a numerical characteristic of a population, such as the population mean or population variance. Since it describes the entire population, it is usually unknown and is estimated using sample statistics.
10
In the context of statistical analysis, what does a sample represent?
Answer:
A subset of the larger population
A sample is a smaller, manageable group selected from a larger population to represent the characteristics of the whole. By analyzing this subset, researchers can draw valid statistical inferences about the entire population without needing to collect data from every single individual, which is often impractical or impossible due to time and resource constraints.