Question 1

Which of the following best describes the difference between a population and a sample, as illustrated in the first image?

Accepted Answer

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

Question 2

A researcher rolls a fair six-sided die (as shown in the fourth image). What is the probability of rolling a number greater than 4?

Accepted Answer

$$P = \frac{2}{6}$$

Question 3

Which type of variable is best represented by the thermometer image (seventh image)?

Accepted Answer

Interval

Question 4

A bag contains 3 red, 2 blue, and 1 pink marble (as shown in the thirteenth image). What is the probability of randomly drawing a blue marble?

Accepted Answer

$$P = \frac{2}{6}$$

Question 5

Which graph type is shown in the eighth image, and what kind of data is it best used for?

Accepted Answer

Bar graph; categorical data

Question 6

If you roll two fair dice (as shown in the twelfth image), what is the probability that both dice show a 3?

Accepted Answer

$$P = \frac{1}{36}$$

Question 7

Which of the following best describes the variable 'eye color' as represented by the third image?

Accepted Answer

Qualitative, nominal

Question 8

A survey (as shown in the eleventh image) is used to collect data from a group of people. Which term best describes this method?

Accepted Answer

Observational study

Question 9

If a clock (sixth image) is used to record the time of an event, what type of variable is 'time' in this context?

Accepted Answer

Interval

Question 10

In the context of the first image, if you randomly select 5 people from the blue group, what sampling method are you using?

Accepted Answer

Convenience sampling

Question 11

Which of the following best describes the difference between discrete and continuous variables, as illustrated by the dice and thermometer images?

Accepted Answer

Discrete variables can only take specific, separate values; continuous variables can take any value within a range.

Question 12

A bar graph (eighth image) shows the number of students in five different classes. What is the best measure of central tendency to summarize this data?

Accepted Answer

Mean

Question 13

If you want to compare the distribution of males and females in two different groups (as shown in the ninth and tenth images), which statistical graph would be most appropriate?

Accepted Answer

Bar graph

Question 14

If you select every third person from a list to participate in a study, which sampling method are you using?

Accepted Answer

Systematic sampling

Question 15

A researcher wants to estimate the average temperature in a city using the thermometer image. Which of the following best describes the average temperature?

Accepted Answer

Statistic

Question 16

If you roll a die (fourth image) and record the outcome, what is the sample space for this experiment?

Accepted Answer

$$\{1, 2, 3, 4, 5, 6\}$$

Question 17

Which of the following is an example of a categorical variable, as represented by the colored petals in the second image?

Accepted Answer

Color

Question 18

If you want to know the proportion of left-handed students in a university, which group should you study to get the most accurate result?

Accepted Answer

All students in the university (the population)

Question 19

A researcher observes the color of cars in a parking lot. Which type of data is being collected?

Accepted Answer

Qualitative, nominal

Question 20

If you want to estimate the average number of hours students study per week, which type of variable are you measuring?

Accepted Answer

Quantitative, discrete

Foundations of Introductory Statistics: Populations, Samples, Data, and Probability

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