Q: Which of the following is the correct formula for calculating the relative frequency of a category?

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

Question 1

What is the main purpose of organizing qualitative data into tables before creating graphs?

Accepted Answer

To make the data easier to analyze and summarize

Question 2

Which of the following is the correct formula for calculating the relative frequency of a category?

Accepted Answer

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

Question 3

A frequency distribution lists each category of data and the number of __________ for each category.

Accepted Answer

observations

Question 4

When constructing a bar graph for qualitative data, what does the height of each rectangle represent?

Accepted Answer

The frequency or relative frequency of the category

Question 5

Why should relative frequencies be used instead of frequencies when comparing two groups of different sizes in a side-by-side bar graph?

Accepted Answer

Relative frequencies account for differences in sample sizes

Question 6

Which type of graph is best for showing the proportion of each category in a whole, such as the distribution of educational attainment?

Accepted Answer

Pie chart

Question 7

A Pareto chart is a bar graph whose bars are drawn in what order?

Accepted Answer

Decreasing order of frequency or relative frequency

Question 8

If the sum of the relative frequencies in a distribution is 0.98, what does this indicate?

Accepted Answer

There is likely a calculation or rounding error

Question 9

Which of the following is NOT a correct way to organize qualitative data?

Accepted Answer

Using a scatter plot

Question 10

Suppose you are comparing the educational attainment of males and females using a side-by-side bar graph. Which axis should display the categories (e.g., 'Bachelor's degree', 'Master's degree')?

Accepted Answer

The horizontal axis

Question 11

In a pie chart, what does the area of each sector represent?

Accepted Answer

The frequency or relative frequency of the category

Question 12

A survey asks, 'What is your favorite day of the week?' Which type of data is being collected?

Accepted Answer

Qualitative

Question 13

If a category in a frequency distribution has a frequency of 8 and the total number of observations is 40, what is the relative frequency of that category?

Accepted Answer

$$\frac{8}{40} = 0.2$$

Question 14

Which of the following best describes unorganized data?

Accepted Answer

Raw data

Question 15

When constructing a bar graph, why must all rectangles have equal width?

Accepted Answer

To ensure accurate visual comparison between categories

Organizing and Summarizing Qualitative Data

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