Q: Given a data set with a minimum value of 10 and a maximum value of 70, and you want to create 6 classes, what is the formula to calculate the class width?

$$\frac{\text{max} - \text{min}}{\#\ \text{of classes}}$$

Q: What is the formula for finding the class midpoint given a lower and upper class limit?

$$\frac{\text{lower} + \text{upper}}{2}$$

Q: Which formula is used to calculate the relative frequency (as a percentage) for a class in a frequency distribution?

$$\left( \frac{f}{n} \times 100\% \right)$$

Question 1

Which type of data is best represented by a bar chart or Pareto chart?

Accepted Answer

Qualitative (categorical) data

Question 2

A student collects the heights (in inches) of 30 classmates. Which graph is most appropriate to display this data?

Accepted Answer

Histogram

Question 3

Given a data set with a minimum value of 10 and a maximum value of 70, and you want to create 6 classes, what is the formula to calculate the class width?

Accepted Answer

$$\frac{	ext{max} - 	ext{min}}{\#\ 	ext{of classes}}$$

Question 4

Which of the following best describes the distribution shown in the fourth image (histogram with a peak in the center and symmetry on both sides)?

Accepted Answer

Normal (bell-shaped)

Question 5

What is the formula for finding the class midpoint given a lower and upper class limit?

Accepted Answer

$$\frac{	ext{lower} + 	ext{upper}}{2}$$

Question 6

A frequency distribution has the following classes: 10–19, 20–29, 30–39, 40–49. What is the class width?

Accepted Answer

The difference between two lower class limits, so 20 - 10 = 10

Question 7

Which of the following graphs is most appropriate for displaying the percentage of students preferring different cake flavors?

Accepted Answer

Pie chart

Question 8

If a histogram is skewed right, what does this indicate about the data?

Accepted Answer

The data peaks on the left and trails off to the right

Question 9

Which formula is used to calculate the relative frequency (as a percentage) for a class in a frequency distribution?

Accepted Answer

$$\left( \frac{f}{n} 	imes 100\% ight)$$

Question 10

A time-series graph is best used to:

Accepted Answer

Display trends in data over time

Question 11

Which of the following is NOT a characteristic of a Pareto chart?

Accepted Answer

It is used to display quantitative data only

Question 12

Which graph would be most appropriate to compare the number of pets owned by students in two different classes?

Accepted Answer

Dotplot

Question 13

A stemplot contains the row 2|0024555789. Which data points are represented in this row?

Accepted Answer

20, 20, 24, 25, 25, 25, 27, 28, 29

Question 14

Which of the following best describes a uniform distribution in a histogram?

Accepted Answer

All classes have approximately the same frequency

Question 15

A frequency polygon differs from a histogram in that:

Accepted Answer

It uses points connected by line segments to represent frequencies

Question 16

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

Accepted Answer

Calculate class width, determine lower and upper class limits, tally frequencies

Question 17

If a pie chart shows that 40% of students prefer chocolate cake, and there are 50 students, how many students prefer chocolate cake?

Accepted Answer

25

Question 18

Which of the following is NOT a correct use of a histogram?

Accepted Answer

Showing the frequency of different eye colors

Question 19

A time-series graph shows the number of rabbits in two pet stores over 11 months. If Store A's line increases steadily while Store B's line fluctuates, what can you conclude?

Accepted Answer

Store A has a consistent upward trend, while Store B's population varies

Exploring Data with Tables and Graphs: Visualizing and Summarizing Data

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