Q: Which formula correctly calculates the relative frequency for a category in a frequency distribution?

$$\text{relative frequency} = \frac{\text{frequency}}{\text{sum of all frequencies}}$$

Q: Given a data set with a smallest value of 10 and a largest value of 90, and you want to create 8 classes, what is the recommended class width?

$$\text{class width} = \frac{90 - 10}{8} = 10$$

Question 1

A physical therapist collects data on the body part requiring rehabilitation for 30 patients. Which of the following is the most appropriate first step to summarize this qualitative data?

Accepted Answer

Organize the data into a frequency distribution table.

Question 2

Which formula correctly calculates the relative frequency for a category in a frequency distribution?

Accepted Answer

$$	ext{relative frequency} = \frac{	ext{frequency}}{	ext{sum of all frequencies}}$$

Question 3

A bar graph is constructed by:

Accepted Answer

Drawing rectangles of equal width for each category, with the height representing the frequency or relative frequency.

Question 4

Which of the following best describes a Pareto chart?

Accepted Answer

A bar graph where the bars are drawn in decreasing order of frequency or relative frequency.

Question 5

When comparing two data sets of different sizes using bar graphs, which is the most appropriate method?

Accepted Answer

Use side-by-side bar graphs with relative frequencies.

Question 6

Which of the following is NOT a guideline for constructing good graphics?

Accepted Answer

Use more than one design in the same graphic to highlight important data.

Question 7

A histogram is different from a bar graph in that:

Accepted Answer

The bars in a histogram touch each other, representing continuous data.

Question 8

Given a data set with a smallest value of 10 and a largest value of 90, and you want to create 8 classes, what is the recommended class width?

Accepted Answer

$$	ext{class width} = \frac{90 - 10}{8} = 10$$

Question 9

Which of the following best describes a skewed right distribution?

Accepted Answer

The tail to the right of the peak is longer than the tail to the left.

Question 10

A time-series graph is most appropriate for which type of data?

Accepted Answer

Data measured at different points in time.

Question 11

Which of the following could make a graph misleading or deceptive?

Accepted Answer

Using an inconsistent scale or a misplaced origin.

Question 12

A pie chart is most appropriate for displaying:

Accepted Answer

The proportion of each category in a qualitative data set.

Question 13

Which of the following is a correct guideline for determining the lower class limit of the first class when constructing a frequency distribution for continuous data?

Accepted Answer

Use the smallest observation or a convenient number slightly lower than the smallest observation.

Question 14

A dot plot is best used for which type of data?

Accepted Answer

Small data sets of discrete quantitative data.

Question 15

Which of the following is a potential problem when using three-dimensional charts in data presentation?

Accepted Answer

They can distract the reader and lead to misinterpretation of the data.

Question 16

Suppose you are given a histogram of parking fines in New York City that is fairly symmetrical but not bell-shaped. Which of the following best describes the shape of this distribution?

Accepted Answer

Symmetrical but not bell-shaped.

Question 17

If a pie chart exaggerates the percentage of a category by making its sector larger than its actual proportion, this is an example of:

Accepted Answer

A misleading or deceptive graph.

Question 18

Which of the following is the correct formula for determining class width when constructing a frequency distribution?

Accepted Answer

$$	ext{class width} = \frac{	ext{largest data value} - 	ext{smallest data value}}{	ext{number of classes}}$$

Question 19

Which of the following is a reason to use horizontal bars in a bar graph?

Accepted Answer

When category names are lengthy.

Question 20

A uniform distribution is best described as:

Accepted Answer

The frequency of each value is evenly spread out across the values.

Chapter 2: Summarizing Data in Tables and Graphs

Study Guide - Practice Questions

Study Guide - Flashcards