Question 1

Which of the following best describes a histogram?

Accepted Answer

A bar graph that displays frequencies of data in equal-width intervals, with bars touching each other.

Question 2

Given the following data set representing the number of books read by 10 students in a month: 2, 3, 3, 4, 5, 5, 5, 6, 7, 8. What is the mode?

Accepted Answer

$$5$$

Question 3

A scatterplot is most useful for which of the following purposes?

Accepted Answer

Displaying the relationship between two quantitative variables.

Question 4

Suppose you have paired data on hours studied and exam scores for 20 students. You create a scatterplot and observe that as hours studied increase, exam scores tend to increase. What type of correlation does this suggest?

Accepted Answer

Positive correlation

Question 5

Given the following paired data: (2, 5), (3, 7), (4, 9), (5, 11), what is the linear correlation coefficient $$r$$ for this data?

Accepted Answer

$$1$$

Question 6

The mean of a data set is $$10$$, and the standard deviation is $$2. $$What is the $$z-$$score for a value of $$14$$?

Accepted Answer

$$2$$

Question 7

A hospital records the number of patients admitted each day for a week: 12, 15, 13, 14, 16, 15, 14. What is the median number of patients admitted?

Accepted Answer

$$14$$

Question 8

Which of the following is the correct formula for the sample variance $$s^2 of a $$data set with $$n$$ observations and sample mean $$\bar{x}$$?

Accepted Answer

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

Question 9

A data set has a mean of $$50$$ and a standard deviation of $$5. $$According to the range rule of thumb, what is the approximate minimum 'usual' value?

Accepted Answer

$$40$$

Question 10

Which of the following statements about the standard deviation is TRUE?

Accepted Answer

The standard deviation is always non-negative.

Question 11

A boxplot is constructed for the following data: 2, 4, 5, 7, 8, 10, 12. What is the interquartile range (IQR)?

Accepted Answer

$$6$$

Question 12

Which of the following is NOT a characteristic of a boxplot?

Accepted Answer

It displays the mean of the data.

Question 13

A value is considered an outlier if it is more than how many interquartile ranges (IQRs) above the third quartile or below the first quartile?

Accepted Answer

$$1.5$$ IQRs

Question 14

If a data set has a mean of $$20$$ and a midrange of $$25$$, which of the following could be the minimum and maximum values?

Accepted Answer

Minimum $$= 10$$, Maximum $$= 40$$

Question 15

A fair die is rolled once. What is the probability of rolling a number greater than $$4$$?

Accepted Answer

$$\frac{1}{3}$$

Question 16

In a clinical trial, 8 out of 40 patients experienced side effects. What is the probability that a randomly selected patient experienced side effects (using the relative frequency method)?

Accepted Answer

$$0.20$$

Question 17

A card is drawn at random from a standard deck of 52 cards. What is the probability of drawing a heart (using the classical approach)?

Accepted Answer

$$\frac{1}{4}$$

Question 18

Which of the following statements about probability is correct?

Accepted Answer

Probability values are always between $$0$$ and $$1$$, inclusive.

Question 19

A data set has the following values: 4, 8, 6, 10, 12. What is the range of the data?

Accepted Answer

$$8$$

Question 20

A student scored $$85 on a $$test where the class mean was $$80$$ and the standard deviation was $$5. $$What is the student's $$z-$$score?

Accepted Answer

$$1$$

Step-by-Step Guidance for Introductory Statistics Exam 1 Topics

Study Guide - Practice Questions

Study Guide - Flashcards