Multiple Choice

1. Which of the following best describes the main purpose of 'statistics'?

   To only count how many people live in a city.

   To collect, organize, analyze, and interpret data to understand groups or make predictions.

   To make up numbers for a school project.

   To tell a single fact about one person.

2. A teacher wants to understand the favorite colors of students in the entire Grade 6 class. Which of the following would be considered 'statistical data' in this context?

   The collection of all students' favorite colors, showing how many chose each color.

   A list of the favorite colors of one student.

   The color of the classroom walls, which is yellow.

   The teacher's favorite color, which is blue.

3. Which statement correctly identifies a key characteristic of statistical data?

   It is always easy to collect without any effort.

   It tells you only one specific piece of information.

   It involves information that varies and is collected to answer a question about a group.

   It must always be a number.

4. Which of these is a *statistical question*?

   How many windows are in our classroom?

   What is the highest mountain in the world?

   What are the typical heights of students in Grade 6?

   What did I eat for breakfast today?

5. A student asks, "What is the temperature right now outside our school?" Is this a statistical question, and why?

   Yes, because temperature is a number.

   Yes, because it changes throughout the day.

   No, because it asks for a single piece of data at a specific moment, not data that varies across a group or over time for analysis.

   No, because it only asks about one specific time.

6. Which question is *most likely* to be a statistical question for a Grade 6 class?

   Who is the principal of our school?

   How many text messages do students in our class typically send in a day?

   What time does school start tomorrow?

   How many days are in the month of July?

7. A survey asks students to name their favorite animal. The answers collected are an example of what type of data?

   Countable data

   Numerical data

   Measured data

   Qualitative data

8. A scientist records the wingspans of different species of butterflies in centimeters. This is an example of what type of data?

   Quantitative data

   Categorical data

   Descriptive data

   Opinion data

9. Which characteristic best describes qualitative data?

   It can always be added or subtracted.

   It is always represented by large numbers.

   It is typically collected by counting specific objects.

   It describes qualities or characteristics that are not easily measured with numbers.

10. A researcher is collecting data on the number of books read by students in a year. What is a key characteristic of this quantitative data?

    It represents categories like 'adventure' or 'mystery'.

    It consists of numerical values that can be counted or measured.

    It describes opinions about the books.

    It can only be collected from a very small group.

11. A survey asks students to rate their school lunch as 'Excellent', 'Good', 'Fair', or 'Poor'. What kind of qualitative data is this?

    Discrete quantitative data because you can count the categories.

    Simple categorical data because they are just words.

    Numerical data because there are $4$ options.

    Qualitative data where the categories have a natural order or ranking.

12. A student measures the exact amount of water (in milliliters) that different plants drink in a day. This type of quantitative data is best described as:

    Data that can only be whole numbers.

    Data that can take on any value within a certain range, often involving decimals.

    Data that describes categories.

    Data collected only by counting.

13. A music teacher wants to know the *genre* of music (e.g., pop, rock, classical) preferred by each student in Grade 6. What kind of data will the teacher collect?

    Qualitative data, because the answers describe characteristics, not numerical values.

    Numerical data, because each genre can be given a number.

    Quantitative data, because there will be many different answers.

    Quantitative data, because the teacher can count how many like each genre.

14. A basketball coach records the *number of baskets* each player scores in a game. What kind of data is the coach collecting?

    Data that cannot be analyzed.

    Qualitative data, because scores are just labels.

    Qualitative data, because player names are involved.

    Quantitative data, because it involves numerical counts of an event.

15. Which of the following is NOT a statistical question?

    How old are the teachers in our school?

    What color is the cover of our math textbook?

    How much do Grade 6 students typically spend on lunch?

    What are the favorite hobbies of my friends?

16. Why is it important for statistical data to *vary*?

    So that patterns, differences, and relationships can be observed and analyzed across a group.

    So that it is harder to understand.

    So that you can easily find one single correct answer.

    So that it confuses people who look at the data.

17. Which set of data is purely qualitative?

    The height of each student in inches.

    The test scores of students in a math class.

    The brands of shoes worn by students in the class.

    The number of siblings each student has.

18. Which set of data is purely quantitative?

    The names of the students who won awards.

    The different types of fruit in a basket.

    The time it takes for students to run a lap, measured in seconds.

    The opinions (agree, disagree) on a school rule.

19. A principal collects data on the number of hours students spend on homework each week to see if there's a trend in performance. This entire process is an example of using:

    Just guessing without facts.

    Only simple counting.

    Statistical methods to understand a group and make informed decisions.

    Telling a story about one student.

20. A class wants to know, "Do most Grade 6 students prefer reading fiction or non-fiction books?" This is a statistical question because:

    It is about books.

    It asks for a definite, single answer for everyone.

    It only has two possible answers.

    It requires collecting data from many students, and their preferences are expected to vary.

21. Which of the following is a statistical question?

    What is the height of the tallest tree in your backyard?

    How many minutes did you spend reading last night?

    How many days did it rain in London on January 1st, 2024?

    What is the typical number of hours Grade 6 students at our school spend on homework each week?

22. A survey asks students for their favorite type of book (e.g., fantasy, mystery, non-fiction, sci-fi). What type of data would be collected from this question?

    Continuous quantitative data

    Ordinal qualitative data

    Discrete quantitative data

    Nominal qualitative data

23. A scientist measures the amount of water in different puddles after a rainstorm. What type of data is the 'amount of water'?

    Ordinal qualitative data

    Nominal qualitative data

    Discrete quantitative data

    Continuous quantitative data

24. A researcher asks participants to rank their satisfaction with a new product on a scale of 'Very Dissatisfied', 'Dissatisfied', 'Neutral', 'Satisfied', 'Very Satisfied'. What type of data is this?

    Continuous quantitative data

    Ordinal qualitative data

    Nominal qualitative data

    Discrete quantitative data

25. Which of the following questions is NOT a statistical question?

    What are the different types of pets owned by families in our neighborhood?

    How many siblings do Grade 6 students in my class typically have?

    What is the exact temperature outside right now?

    What is the average number of pages in the books read by students in the summer reading program?

26. A zoo records the number of different species of birds in each of its aviaries. What type of data is 'the number of different species'?

    Continuous quantitative data

    Discrete quantitative data

    Nominal qualitative data

    Ordinal qualitative data

27. A meteorologist records the daily high temperature in Celsius for a city over a month. What type of data is the 'daily high temperature'?

    Nominal qualitative data

    Continuous quantitative data

    Discrete quantitative data

    Ordinal qualitative data

28. A marketing team surveys people about their preferred car color (e.g., red, blue, silver, black). What type of data is 'preferred car color'?

    Continuous quantitative data

    Discrete quantitative data

    Nominal qualitative data

    Ordinal qualitative data

29. Mrs. Smith asks her Grade 6 class, "How many hours did you sleep last night?" Why is this a statistical question?

    Because it has a single, definite answer.

    Because it asks for a number.

    Because she expects a variety of answers from her students.

    Because it is about a personal habit.

30. Which of the following represents an example of continuous quantitative data?

    The number of students who scored an A on a test.

    The satisfaction level (e.g., 'low', 'medium', 'high') of customers.

    The brand of smartphone each teacher uses.

    The exact time it takes for different runners to complete a $100$-meter race.

Fill-in-the-Blank

31. A question like "How many pets does Sarah have?" is not a statistical question, but "How many pets do the students in my class have?" is. The difference is that a statistical question anticipates a variety of [blank] as answers, not just one specific answer.

32. If you collect data on the favorite sports of your classmates (e.g., soccer, basketball, swimming), the type of qualitative data you are gathering is [blank], because there's no inherent order or ranking among the categories.

33. The number of goals scored in each game by a soccer team this season (e.g., $2$, $0$, $3$, $1$, $0$) is an example of \underline{\hspace{2em}} quantitative data, because the data can only take on whole, countable values and cannot be a fraction or decimal like $1.5$ goals.

34. When students are asked to rate their agreement with a statement on a scale of "Strongly Disagree," "Disagree," "Neutral," "Agree," "Strongly Agree," the collected data is [blank] because the categories have a meaningful order, even if the exact difference between them isn't precisely measurable.

35. Measuring the exact amount of rainfall in millimeters each day for a month produces [blank] quantitative data, as the values can fall anywhere along a scale and can include decimals or fractions, like $3.7$ mm or $0.25$ mm.