Q: What is the formula for calculating the relative frequency of a category?

$$\text{Relative Frequency} = \frac{\text{Frequency of category}}{\text{Total number of observations}}$$

Q: What is the formula for class width in a frequency histogram?

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

Question 1

Which of the following best describes qualitative data?

Accepted Answer

Data that classifies individuals based on attributes or characteristics.

Question 2

What is the formula for calculating the relative frequency of a category?

Accepted Answer

$$	ext{Relative Frequency} = \frac{	ext{Frequency of category}}{	ext{Total number of observations}}$$

Question 3

A bar graph is most appropriate for which type of data?

Accepted Answer

Both qualitative and quantitative data

Question 4

Which graph is best for displaying the distribution of a single categorical variable?

Accepted Answer

Pie chart

Question 5

Given the following blood type data for 25 army inductees: A, O, B, AB, O, A, B, O, AB, O, A, B, O, AB, O, A, B, O, AB, O, A, B, O, AB, O. What is the relative frequency of blood type O?

Accepted Answer

$$\frac{9}{25} = 0.36$$

Question 6

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

Accepted Answer

Avoid distorting the data by manipulating axes.

Question 7

What is the main difference between a bar graph and a Pareto chart?

Accepted Answer

A Pareto chart displays bars in decreasing order of frequency.

Question 8

When constructing a histogram, what does the height of each rectangle represent?

Accepted Answer

The frequency or relative frequency of the class

Question 9

If a data set consists of a large number of different discrete values, what should you do to organize the data for a histogram?

Accepted Answer

Create classes to separate the data

Question 10

What is the formula for class width in a frequency histogram?

Accepted Answer

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

Question 11

Which type of graph is most useful for identifying trends in data over time?

Accepted Answer

Time series plot

Question 12

A stem-and-leaf plot is best used for which type of data?

Accepted Answer

Quantitative data

Question 13

Which of the following is a potential pitfall when interpreting statistical graphics?

Accepted Answer

Manipulating axes to exaggerate differences

Question 14

In a side-by-side bar graph comparing Titanic survival rates by ticket class, what does each bar represent?

Accepted Answer

The percentage of people who survived in each class

Question 15

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

Accepted Answer

Use three-dimensional charts for all data

Question 16

If you want to compare each variable to the whole, which type of graph should you use?

Accepted Answer

Pie chart

Question 17

Why might a bar graph be misleading if the vertical axis does not start at zero?

Accepted Answer

It makes differences between categories appear larger than they are.

Question 18

Which of the following is true about time series plots?

Accepted Answer

They plot the value of a variable at different points in time.

Question 19

What is the main purpose of creating classes when organizing quantitative data?

Accepted Answer

To separate data into intervals for easier analysis

Question 20

Which of the following is a correct statement about stem-and-leaf plots?

Accepted Answer

They use digits to form the stem and leaf, representing quantitative data.

Describing Data with Tables and Graphs: Organizing Qualitative and Quantitative Data

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