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

$$\text{Relative Frequency} = \frac{\text{Frequency of the category}}{\text{Sum of all frequencies}}$$

Q: What is the class width in a frequency distribution, and how is it calculated?

$$\text{Class Width} = \text{Difference between consecutive lower class limits}$$

Question 1

Which of the following best describes a frequency distribution?

Accepted Answer

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

Question 2

What is the 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 physical therapist records the body part requiring rehabilitation for 30 patients. Which type of graph would be most appropriate to display the frequency of each body part?

Accepted Answer

Bar graph

Question 4

Which of the following is a key difference between a bar graph and a histogram?

Accepted Answer

Bar graphs are used for qualitative data, while histograms are used for quantitative data.

Question 5

When constructing a Pareto chart, how should the bars be arranged?

Accepted Answer

In decreasing order of frequency or relative frequency.

Question 6

Why should relative frequencies be used instead of frequencies when comparing two data sets of different sizes using side-by-side bar graphs?

Accepted Answer

Because relative frequencies account for differences in sample or population sizes.

Question 7

Which of the following best describes a pie chart?

Accepted Answer

A circle divided into sectors, where each sector represents a category and its area is proportional to the frequency.

Question 8

What is the class width in a frequency distribution, and how is it calculated?

Accepted Answer

$$	ext{Class Width} = 	ext{Difference between consecutive lower class limits}$$

Question 9

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

Accepted Answer

Small sets of discrete quantitative data.

Question 10

Which of the following histograms represents a distribution that is skewed right?

Accepted Answer

A histogram where the tail to the right of the peak is longer than the tail to the left.

Question 11

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

Accepted Answer

Title and label the axes clearly, including units and data sources.

Question 12

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

Accepted Answer

Data measured at different points in time.

Question 13

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

Accepted Answer

Using an inconsistent scale or a misplaced origin.

Question 14

If a histogram is fairly symmetrical but not bell-shaped, which of the following best describes its distribution?

Accepted Answer

Uniform distribution

Question 15

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

Accepted Answer

Using more than one design in the same graphic to draw attention.

Question 16

Suppose you are summarizing the number of customers arriving at a restaurant in 40 intervals. The data are discrete and have many different values. What is the best way to organize the data?

Accepted Answer

Create classes using intervals of numbers and construct a frequency distribution.

Question 17

Which of the following is a reason why constructing frequency distributions is considered an 'art form'?

Accepted Answer

Some frequency distributions better illustrate patterns within the data than others.

Question 18

What is the main purpose of using a side-by-side bar graph?

Accepted Answer

To compare two or more data sets across the same categories.

Question 19

Which of the following is a potential pitfall when using a pie chart?

Accepted Answer

Exaggerating the size of a sector to mislead the viewer.

Question 20

If the smallest data value in a set is 65 and you want to create classes for a histogram, which is a good guideline for choosing the lower class limit of the first class?

Accepted Answer

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

Chapter 2: Summarizing Data in Tables and Graphs – Study Notes

스터디 가이드 - 연습 문제

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