Exploring Populations and Samples

What is the primary purpose of statistics?

• To entertain with numerical data

• To complicate simple data

• To collect and analyze data for decision making

• To create graphical representations only

Which example illustrates the use of statistics in real life?

• Calculating the total number of books in a library

• Painting a landscape

• Comparing career statistics of two basketball players

• Writing a novel

What does a sample represent in statistics?

• A mathematical formula

• A whole group

• A subset of a population

• A type of graph

Why do statisticians use samples?

• To save costs and time while gathering data

• Because it is always easier than using the whole population

• To make the study more complex

• Because samples provide exact results

What is a population in the context of statistics?

• A group of samples

• A graphical representation of data

• The entire group from which data can be collected

• A small group within a larger group

Which of the following is a correct example of a sample?

• All countries in the world

• Seniors who drive to school

• The entire internet population

• All students in a school

What type of question requires variability in data to be answered?

• A mathematical question

• A statistical question

• A yes or no question

• A personal preference question

How can data be collected to answer a statistical question about a large group?

• By asking a few friends

• By ignoring variations within the group

• By guessing based on personal experience

• By surveying a representative sample of the group

Why is it important for a sample to be representative of a population?

• To ensure accurate predictions and conclusions

• To comply with statistical laws

• To make the data collection process faster

• To reduce the need for data analysis

What distinguishes a population statistic from a sample statistic?

• Sample statistics are derived from the entire group

• Sample statistics do not require data collection

• Population statistics are always numerical

• Population statistics involve the entire group, while sample statistics involve a part of it