Question 1

Which of the following best describes the difference between a population and a sample in statistics?

Accepted Answer

A population includes all individuals of interest, while a sample is a subset selected from the population.

Question 2

A researcher wants to estimate the average cholesterol level of adults in a city. She randomly selects 200 adults and calculates their average cholesterol. In this context, what is the statistic?

Accepted Answer

The average cholesterol level of the 200 selected adults.

Question 3

Which of the following is an example of a qualitative variable?

Accepted Answer

Favorite color of students.

Question 4

A hospital administrator wants to survey patient satisfaction. She divides patients into groups based on department (e.g., cardiology, oncology) and randomly selects patients from each group. What type of sampling is this?

Accepted Answer

Stratified sampling

Question 5

Which level of measurement is represented by the following data: 'Excellent', 'Good', 'Fair', 'Poor'?

Accepted Answer

Ordinal

Question 6

A researcher selects every 10th person from a list of 1,000 names. What is the value of $k$ in the systematic sampling procedure?

Accepted Answer

$k = 10$

Question 7

Which of the following graphs is most appropriate for displaying the frequency distribution of a categorical variable such as 'type of pet owned'?

Accepted Answer

Bar graph

Question 8

Which of the following is a discrete variable?

Accepted Answer

The number of cars in a parking lot.

Question 9

A company wants to analyze the number of defective products produced each day for a month. Which type of plot would best display this data?

Accepted Answer

Dot plot

Question 10

Which of the following is NOT a type of bias in sampling?

Accepted Answer

Random bias

Question 11

Given the raw data: 5, 7, 8, 5, 6, 7, 8, 9, 5, 6, how many classes would you recommend for a frequency distribution if using Sturges' formula $k = 1 + \log_2 n$ where $n$ is the number of data points?

Accepted Answer

$k = 5$

Question 12

Which of the following best describes a parameter?

Accepted Answer

A numerical summary of a population.

Question 13

Which chart is most useful for showing the relative proportions of different categories in a dataset, such as market share of companies?

Accepted Answer

Pie chart

Question 14

A researcher organizes continuous data into classes before creating a histogram. What is the main reason for this step?

Accepted Answer

To simplify the data and reveal patterns.

Question 15

Which of the following is an example of inferential statistics?

Accepted Answer

Using sample data to estimate the average height of all students at a university.

Question 16

A Pareto chart is most useful for:

Accepted Answer

Displaying the frequency of categories in descending order.

Question 17

Which of the following is a continuous variable?

Accepted Answer

Amount of rainfall measured in millimeters.

Question 18

A teacher wants to select a sample of students for a survey by choosing those who are present in the classroom at the time. What type of sampling is this?

Accepted Answer

Convenience sampling

Question 19

Which of the following best describes the process of statistics?

Accepted Answer

Collecting data, organizing data, analyzing data, and drawing conclusions.

Question 20

A stem-and-leaf plot is most useful for:

Accepted Answer

Showing the shape and distribution of small sets of quantitative data.

Fundamentals of Statistics: Populations, Sampling, and Data Representation

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