Q: Which formula is used to determine the class width when organizing continuous 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 for qualitative data?

Accepted Answer

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

Question 2

A physical therapist records the body part requiring rehabilitation for 30 patients. Which type of data is being collected?

Accepted Answer

Qualitative data

Question 3

Given the following frequencies for a survey of favorite fruits: Apples: 10, Bananas: 15, Oranges: 5. What is the relative frequency of Bananas?

Accepted Answer

Question 4

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

Accepted Answer

Use three-dimensional effects to make the graph more visually appealing.

Question 5

A histogram is constructed by:

Accepted Answer

Drawing rectangles for each class of data, with the height representing frequency or relative frequency and the rectangles touching each other.

Question 6

If a bar graph is drawn with bars in decreasing order of frequency, it is called a:

Accepted Answer

Pareto chart

Question 7

Which formula is used to determine the class width when organizing continuous data into classes?

Accepted Answer

$$ 	ext{Class width} = \frac{	ext{Largest data value} - 	ext{Smallest data value}}{	ext{Number of classes}} $$

Question 8

A time-series graph is most appropriate for which of the following scenarios?

Accepted Answer

Tracking the unemployment rate in a country over a 10-year period.

Question 9

Which of the following is a potential source of misleading or deceptive graphs?

Accepted Answer

Using a vertical axis that does not start at zero.

Question 10

A distribution is described as 'skewed right' if:

Accepted Answer

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

Question 11

Which of the following best describes a pie chart?

Accepted Answer

A circle divided into sectors, with each sector representing a category and its area proportional to the frequency.

Question 12

Suppose you are comparing the educational attainment of adults in 1990 and 2017. Why should you use relative frequencies instead of frequencies in a side-by-side bar graph?

Accepted Answer

Because the sample or population sizes are different, making direct frequency comparisons misleading.

Question 13

A dot plot is most useful for which type of data?

Accepted Answer

Small sets of discrete quantitative data

Question 14

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 in the data set or a convenient number slightly lower than the smallest observation.

Question 15

Which of the following is a reason why a graph with a vertical axis starting at a value other than zero can be misleading?

Accepted Answer

It can exaggerate differences between data values, making changes appear larger than they are.

Question 16

A histogram of parking fines in New York City is described as 'fairly symmetrical but not bell-shaped.' Which of the following best describes the shape of this distribution?

Accepted Answer

Symmetric but not normal

Question 17

Which of the following is NOT a recommended practice when constructing a pie chart?

Accepted Answer

Exaggerating the size of one sector to draw attention to it.

Question 18

A misleading graph is one that:

Accepted Answer

Unintentionally creates an incorrect impression.

Question 19

Which of the following is a multi-step process for constructing a frequency distribution for continuous data?

Accepted Answer

Determine the number of classes, calculate class width using $$ 	ext{Class width} = \frac{	ext{Largest data value} - 	ext{Smallest data value}}{	ext{Number of classes}} $$, choose a lower class limit, and create class intervals.

Question 20

Which of the following is a potential pitfall when using three-dimensional effects in graphs?

Accepted Answer

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

Chapter 2: Summarizing and Organizing Qualitative Data in Tables and Graphs

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