Question 1

Which of the following best describes the Area Principle in data visualization?

Accepted Answer

The area occupied by a part of a graph should correspond to the magnitude of the value it represents.

Question 2

A researcher wants to display the distribution of the number of hours worked per week by employees at a company. Which graphical display is most appropriate?

Accepted Answer

Histogram

Question 3

Which of the following is NOT a recommended use of a bar chart?

Accepted Answer

Displaying the distribution of a quantitative variable

Question 4

A pie chart is most appropriate for displaying:

Accepted Answer

The proportion of each category in a categorical variable

Question 5

If a histogram of credit card expenditures is unimodal and skewed right with an outlier at $7000, which measure of center and spread is most appropriate to report?

Accepted Answer

Median and interquartile range (IQR)

Question 6

Given the following data set: 2, 4, 5, 6, 7, 9, what is the median?

Accepted Answer

$$6$$

Question 7

Which of the following statements about the interquartile range (IQR) is TRUE?

Accepted Answer

The IQR is not sensitive to outliers and measures the spread of the middle 50% of the data.

Question 8

A data set has $$Q_1 = 25$ and Q_3$ = 38. $$What is the interquartile range (IQR)?

Accepted Answer

$$13$$

Question 9

Which of the following is a potential problem when using a histogram to display categorical data?

Accepted Answer

Histograms are designed for quantitative data, not categorical data.

Question 10

A distribution is described as bimodal. What does this mean?

Accepted Answer

The distribution has two distinct peaks or modes.

Question 11

Which of the following best describes a uniform distribution?

Accepted Answer

All bins in the histogram have approximately the same frequency.

Question 12

If a data set is highly skewed to the right, which measure of center is most likely to be pulled in the direction of the skew?

Accepted Answer

Mean

Question 13

Which of the following is the correct formula for the sample variance $$s^2 of$$ $$n$$ data values $$y_1$$, $$y_2$$, ..., y_n$$ with mean $$\overline{y}$$?

Accepted Answer

$$s^2$$ = \frac{\sum_{i=1}^n (y_i - \overline{y}$$)^2$$}{n-1}$$

Question 14

A histogram of commute times for a large company is unimodal and skewed right. What is a likely reason for this shape?

Accepted Answer

Most employees live close to work, but a few live much farther away.

Question 15

Which of the following is NOT a step you should take before calculating the median of a data set?

Accepted Answer

Calculate the mean of the data set.

Question 16

A stem-and-leaf display is most appropriate for which type of data?

Accepted Answer

Small sets of quantitative data

Question 17

Which of the following is a drawback of using the range as a measure of spread?

Accepted Answer

The range is highly sensitive to outliers.

Question 18

Suppose you have a data set with a mean of $$50$$ and a standard deviation of $$5. If $$you add $$10 to $$every value in the data set, what will be the new standard deviation?

Accepted Answer

$$5$$

Question 19

Which of the following is a correct interpretation of the standard deviation?

Accepted Answer

It is a measure of the average distance of the data values from the mean.

Question 20

A financial institution reports the mean and standard deviation of customer expenditures, but the data is highly skewed with outliers. What is a potential issue with this summary?

Accepted Answer

The mean and standard deviation are influenced by outliers and may not represent typical values.

Displaying and Describing Data: Chapter 2 Study Notes (Intro Stats)

Study Guide - Practice Questions

Study Guide - Flashcards