Q: When constructing a pie chart to represent categorical data, how do you calculate the degree measure for each category?

$$\text{Degree} = 360^\circ \times \text{Relative Frequency}$$

Question 1

Which of the following best describes a 'relative frequency' in a frequency distribution table?

Accepted Answer

The percentage of the total data that falls into a particular category.

Question 2

A survey of 50 students records their favorite fruit: 20 chose apples, 15 chose bananas, and 15 chose oranges. What is the relative frequency of students who chose bananas?

Accepted Answer

$$\frac{15}{50} = 0.30$$

Question 3

When constructing a pie chart to represent categorical data, how do you calculate the degree measure for each category?

Accepted Answer

$$	ext{Degree} = 360^\circ 	imes 	ext{Relative Frequency}$$

Question 4

A bar graph is constructed for the following data: A (4), B (2), C (3), D (1). Which of the following is true about the shape of the bar graph if the bars are arranged in descending order?

Accepted Answer

It is a Pareto chart.

Question 5

Which of the following is NOT a characteristic of a histogram?

Accepted Answer

It is used to display categorical (qualitative) data.

Question 6

Given the following class intervals for ages: 15-19, 20-24, 25-29, what is the class width?

Accepted Answer

$$20 - 15 = 5$$

Question 7

A distribution is described as 'skewed to the right.' Which of the following best describes its appearance?

Accepted Answer

The tail on the right side is longer than the left.

Question 8

Which of the following is a potential way a graph can be misleading?

Accepted Answer

By omitting zero on the vertical axis.

Question 9

A frequency distribution table for test scores is given. The cumulative relative frequency for the third class is 0.75. What does this mean?

Accepted Answer

75% of the data values are less than or equal to the upper boundary of the third class.

Question 10

Which of the following best distinguishes discrete data from continuous data?

Accepted Answer

Discrete data can only take specific, countable values; continuous data can take any value within an interval.

Question 11

A stem-and-leaf plot is constructed for the following data: 104, 106, 109, 116. What is the 'stem' for the value 109?

Accepted Answer

10

Question 12

If a histogram has a bell-shaped curve, what does this indicate about the distribution of the data?

Accepted Answer

The data is approximately normally distributed.

Question 13

A company tracks the number of customers per day for a month and plots the results. What type of graph is most appropriate for this data?

Accepted Answer

Time series plot

Question 14

Given the following frequency distribution for a class: 15-19 (2), 20-24 (3), 25-29 (4). What is the cumulative frequency for the class 25-29?

Accepted Answer

$$2 + 3 + 4 = 9$$

Question 15

A data set contains the following values: 2, 2, 3, 4, 5, 5, 5, 6. Which graphical display would best show the frequency of each value?

Accepted Answer

Dot plot

Question 16

If a bar graph is used to display the number of students in different majors, which of the following is true?

Accepted Answer

There should be gaps between the bars to indicate separate categories.

Question 17

A misleading pictogram is used in a newspaper to show sales growth. Which of the following is a common way pictograms can mislead?

Accepted Answer

By using images whose area increases disproportionately to the data values.

Question 18

A grouped frequency distribution has the following classes: 10-14, 15-19, 20-24. What is the lower class boundary for the class 15-19?

Accepted Answer

14.5

Question 19

Which of the following best describes a uniform distribution?

Accepted Answer

All categories or intervals have approximately the same frequency.

Organizing and Summarizing Data: Chapter 2 Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards