Question 1

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

Accepted Answer

Descriptive statistics summarize and organize data, while inferential statistics use data from a sample to make generalizations about a population.

Question 2

A pharmaceutical company wants to estimate the average recovery time for a new drug. They collect data from 100 patients. What is the population in this scenario?

Accepted Answer

All patients who could potentially use the new drug.

Question 3

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

Accepted Answer

The color of cars in a parking lot.

Question 4

A researcher records the heights (in cm) of students in a class. What type of data is this?

Accepted Answer

Quantitative, continuous

Question 5

Which of the following is NOT a level of measurement discussed in statistics?

Accepted Answer

Fractional

Question 6

A survey asks respondents to rate their satisfaction on a scale from 1 (very dissatisfied) to 5 (very satisfied). What is the level of measurement?

Accepted Answer

Ordinal

Question 7

Which formula would you use to calculate the mean of a data set with values $$x_1$$, $$x_2$$, ..., x_n$$?

Accepted Answer

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

Question 8

Given the following data set: 5, 8, 12, 15, 20. What is the median?

Accepted Answer

12

Question 9

Which of the following best describes a parameter?

Accepted Answer

A numerical summary of a population.

Question 10

A researcher wants to know the average income of all university students in the country. She collects data from 500 students at her university. What is the sample in this scenario?

Accepted Answer

The 500 students at her university.

Question 11

Which of the following is an example of data at the interval level of measurement?

Accepted Answer

Temperature measured in Celsius.

Question 12

A hospital records the blood types of patients. What level of measurement is this?

Accepted Answer

Nominal

Question 13

Which of the following is a characteristic of a discrete variable?

Accepted Answer

It can only take on specific, separate values.

Question 14

A researcher measures the time (in seconds) it takes for a chemical reaction to complete. What type of variable is this?

Accepted Answer

Continuous

Question 15

Which of the following is the correct formula for the sample variance $$s^2 of$$ $$n$$ observations $$x_1$$, $$x_2$$, ..., x_n$$ with sample mean $$\bar{x}$$?

Accepted Answer

$$\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2$}{n-1}$$

Question 16

A study collects the following data: 2, 4, 4, 6, 8. What is the mode?

Accepted Answer

4

Question 17

Which of the following best describes the purpose of statistics in scientific research?

Accepted Answer

To summarize data and make inferences about populations based on samples.

Question 18

A researcher wants to compare the average test scores of students from two different schools. Which statistical concept is most relevant?

Accepted Answer

Inferential statistics

Question 19

Which of the following is an example of a ratio level variable?

Accepted Answer

Height in centimeters

Question 20

A scientist records the number of bacteria colonies in a petri dish every hour. What type of variable is being measured?

Accepted Answer

Discrete

Chapter 1: The Nature of Statistics - Structured Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards