Questions: Identify each of the following as either descriptive or inferential statistics. The average income of a random sample of 190 high school principals in 2018 was 52,100.
Choose the correct answer below. A. It is inferential statistics because it uses a sample to make a claim about a population. B. It is inferential statistics because it summarizes the information in a sample. C. It is descriptive statistics because it summarizes the information in a sample. D. It is descriptive statistics because it uses a sample to make a claim about a population.
Transcript text: Identify each of the following as either descriptive or inferential statistics.
The average income of a random sample of 190 high school principals in 2018 was $\$ 52,100$.
Choose the correct answer below.
A. It is inferential statistics because it uses a sample to make a claim about a population.
B. It is inferential statistics because it summarizes the information in a sample.
C. It is descriptive statistics because it summarizes the information in a sample.
D. It is descriptive statistics because it uses a sample to make a claim about a population.
Solution
Solution Steps
Step 1: Understand the Question
The question asks whether the given statement is an example of descriptive or inferential statistics. The statement provides the average income of a random sample of 190 high school principals in 2018.
Step 2: Define Descriptive and Inferential Statistics
Descriptive statistics summarize or describe the characteristics of a dataset or sample.
Inferential statistics use a sample to make generalizations or predictions about a population.
Step 3: Analyze the Given Statement
The statement provides the average income of a sample of 190 high school principals. It does not make any claims or predictions about the entire population of high school principals. Instead, it simply summarizes the data from the sample.
Step 4: Match the Statement to the Correct Option
Since the statement summarizes the information in a sample without making inferences about the population, it is an example of descriptive statistics. Therefore, the correct answer is:
C. It is descriptive statistics because it summarizes the information in a sample.
Final Answer
The correct answer is C. It is descriptive statistics because it summarizes the information in a sample.