Question 1

Which of the following best describes the main difference between descriptive and inferential statistics?

Accepted Answer

Descriptive statistics summarize and describe data, while inferential statistics draw conclusions about populations based on samples.

Question 2

A researcher collects data from a random sample of 200 university students to estimate the average GPA of all students at the university. Which type of statistics is primarily being used?

Accepted Answer

Inferential statistics

Question 3

Which of the following statements about random sampling is correct?

Accepted Answer

Random sampling removes bias and increases the likelihood that the sample represents the population.

Question 4

Suppose you want to know the average height of all adults in a city. You measure the height of 50 randomly selected adults and calculate the mean. What is the sample in this scenario?

Accepted Answer

The 50 randomly selected adults

Question 5

Which of the following is an example of inferential statistics?

Accepted Answer

Estimating the proportion of voters who support a candidate based on a poll

Question 6

Why is it important to never make conclusions off of a single data point in statistics?

Accepted Answer

A single data point may not be representative and can lead to incorrect conclusions.

Question 7

Which formula would you use to calculate the sample mean $$\bar{x}$$ for a set of $$n$$ observations $$x_1$$, $$x_2$$, ..., x_n$$?

Accepted Answer

$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$

Question 8

A statistic is best defined as:

Accepted Answer

A measured summary of a sample

Question 9

Which of the following is a key question addressed by inferential statistics?

Accepted Answer

"What does our sample tell us about the whole population?"

Question 10

If a researcher summarizes the test scores of all students in a class using the mean and standard deviation, which type of statistics is being used?

Accepted Answer

Descriptive statistics

Question 11

Which of the following best explains why random sampling is important in statistical studies?

Accepted Answer

It ensures that every member of the population has an equal chance of being selected.

Question 12

A parameter is to a population as a statistic is to a:

Accepted Answer

Sample

Question 13

Which of the following scenarios best illustrates the use of descriptive statistics?

Accepted Answer

A company reports the average salary of its employees.

Question 14

Which of the following is NOT a purpose of descriptive statistics?

Accepted Answer

Drawing conclusions about a population

Question 15

If you want to estimate the average income of all households in a city, but only have data from a random sample of 100 households, which statistical approach should you use?

Accepted Answer

Inferential statistics

Introduction to Statistics: Collecting and Classifying Data

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