Q: Which of the following is the correct formula for calculating class width when organizing continuous quantitative data into classes?

$$\text{Class Width} = \frac{\text{Largest Data Value} - \text{Smallest Data Value}}{\text{Number of Classes}}$$

Question 1

Which of the following best describes a frequency distribution table for qualitative data?

Accepted Answer

A table that lists each category of data and the number of occurrences for each category.

Question 2

Given the following frequencies for M&M colors: Brown = 12, Yellow = 10, Red = 9, Orange = 6, Blue = 3, Green = 5. What is the relative frequency of Red M&Ms? Use the formula $$	ext{Relative Frequency} = \frac{	ext{Frequency}}{	ext{Total}}.$$

Accepted Answer

$$\frac{9}{45} = 0.2$$

Question 3

Which type of graph is most appropriate for displaying the relative frequencies of marital status categories in a population?

Accepted Answer

Pie chart

Question 4

A bar graph is constructed to show the frequency of different colors of M&Ms. Which of the following is NOT a required characteristic of a bar graph?

Accepted Answer

Bars must be drawn in descending order of frequency.

Question 5

What distinguishes a Pareto chart from a standard bar graph?

Accepted Answer

Bars are arranged in descending order of frequency or relative frequency.

Question 6

A researcher wants to display the change in Dow Jones Industrial Average from 1990 to 2007. Which type of graph should be used?

Accepted Answer

Time series graph

Question 7

Which of the following is a potential source of misrepresentation in a graph?

Accepted Answer

Using a vertical axis that does not start at zero.

Question 8

A frequency histogram is constructed for the number of cars per household. The data are: 0 cars (4), 1 car (13), 2 cars (22), 3 cars (7), 4 cars (3), 5 cars (1). What is the shape of the distribution?

Accepted Answer

Skewed left

Question 9

Which of the following is the correct formula for calculating class width when organizing continuous quantitative data into classes?

Accepted Answer

$$	ext{Class Width} = \frac{	ext{Largest Data Value} - 	ext{Smallest Data Value}}{	ext{Number of Classes}}$$

Question 10

A misleading pictograph is shown where the area of the images is not proportional to the data values. What is the main issue with this type of graph?

Accepted Answer

It creates perceptual distortion, making differences appear larger or smaller than they are.

Question 11

Which of the following is a guideline for constructing good graphics?

Accepted Answer

Avoid using three-dimensional effects that can distort the data.

Question 12

A pie chart is used to display the marital status of U.S. residents in 2006. If the relative frequency for 'Married' is $$0.58$$, what percentage of the pie chart does this sector represent?

Accepted Answer

$$58\%$$

Question 13

Which of the following best describes a dot plot?

Accepted Answer

A graph where each observation is represented by a dot above its value on a number line.

Question 14

A side-by-side bar graph is most useful for:

Accepted Answer

Comparing the relative frequencies of two data sets across the same categories.

Question 15

If a histogram for a data set has a long tail to the right, how is the distribution described?

Accepted Answer

Skewed right

Question 16

Which of the following is a potential problem when interpreting a graph with a truncated (not starting at zero) vertical axis?

Accepted Answer

It can exaggerate the differences between data values.

Question 17

A frequency table for the number of cars per household is given. What is the cumulative frequency for households with up to 2 cars?

Accepted Answer

$$4 + 13 + 22 = 39$$

Question 18

Which of the following is NOT a recommended practice when constructing a statistical graph?

Accepted Answer

Using excessive gridlines and backgrounds to make the graph more attractive.

Question 19

A time series graph is best used for which type of data?

Accepted Answer

Data measured at different points in time.

Question 20

Which of the following is a correct interpretation of a percentage change graph that shows a decrease in percentage change for college tuition?

Accepted Answer

Tuition is still increasing, but at a slower rate.

Summarizing Data in Tables and Graphs: Organizing Qualitative and Quantitative Data

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