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

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

Q: A student wants to create a pie chart to show the distribution of favorite cake flavors in a class. If 32 students prefer vanilla out of 170 total, what percent of students prefer vanilla?

$$\frac{32}{170} \times 100\% = 18.8\%$$

Question 1

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

Accepted Answer

Qualitative (categorical) data

Question 2

A researcher collects the heights (in inches) of 50 students. 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

What is the class midpoint for a class with lower class limit 20 and upper class limit 29?

Accepted Answer

$$\frac{20 + 29}{2} = 24.5$$

Question 5

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

Accepted Answer

Normal (bell-shaped)

Question 6

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

Accepted Answer

10

Question 7

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 8

Which type of graph is best for displaying the trend of average daily temperature over a year?

Accepted Answer

Time-series graph

Question 9

A stemplot contains the row 2|0024555789. Which of the following lists all the data points in this row?

Accepted Answer

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

Question 10

Which of the following is true about a Pareto chart?

Accepted Answer

It displays categorical data in descending order of frequency.

Question 11

A dotplot is most useful for which type of data?

Accepted Answer

Small to moderate quantitative data sets

Question 12

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 13

Which of the following graphs would be most appropriate to compare the number of students with different hair colors in two classrooms?

Accepted Answer

Bar graph

Question 14

A frequency polygon is constructed by plotting which values on the x-axis?

Accepted Answer

Class midpoints

Question 15

Which of the following best describes the main difference between a histogram and a bar chart?

Accepted Answer

Bar charts have gaps between bars, histograms do not.

Question 16

A student wants to create a pie chart to show the distribution of favorite cake flavors in a class. If 32 students prefer vanilla out of 170 total, what percent of students prefer vanilla?

Accepted Answer

$$\frac{32}{170} 	imes 100\% = 18.8\%$$

Question 17

Which of the following is NOT a characteristic of a uniform distribution in a histogram?

Accepted Answer

There is a single peak in the center.

Question 18

A time-series graph is most useful for which of the following purposes?

Accepted Answer

Displaying trends in data over time

Question 19

If a frequency distribution has a minimum value of 16, a maximum value of 71, and you want 7 classes, what is the class width?

Accepted Answer

$$\frac{71 - 16}{7} = 7.857$$, round up to 8

Question 20

Which of the following best describes the use of a frequency polygon?

Accepted Answer

To show the shape of a distribution using connected points at class midpoints

Exploring Data with Tables and Graphs: Visualizing and Summarizing Data

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