Q: Given the frequency table for essay grades (A: 4, B: 7, C: 9, D: 3, F: 2), what is the relative frequency of grade B? Use the formula $$ \text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total}} \times 100\% .$$

$$ \frac{7}{25} \times 100\% = 28\% $$

Question 1

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

Accepted Answer

A bar graph is used for qualitative data, while a histogram is used for quantitative data.

Question 2

In a Pareto chart, how are the bars arranged?

Accepted Answer

From highest to lowest frequency.

Question 3

A pie chart is used to represent which of the following?

Accepted Answer

The relative frequency of each category as a proportion of the whole.

Question 4

Given the frequency table for essay grades (A: 4, B: 7, C: 9, D: 3, F: 2), what is the relative frequency of grade B? Use the formula $$ 	ext{Relative Frequency} = \frac{	ext{Frequency}}{	ext{Total}} 	imes 100\% .$$

Accepted Answer

$$ \frac{7}{25} 	imes 100\% = 28\% $$

Question 5

Which type of graph would be most appropriate to display the change in average temperature in a city over the past 50 years?

Accepted Answer

A time-series graph.

Question 6

In the histogram showing hours spent playing video games on weekends, if the class intervals are 0-5, 5-10, 10-15, 15-20, and 20-25, and the frequencies are 2, 3, 5, 7, and 9 respectively, what is the class width?

Accepted Answer

$$ 5 $$

Question 7

A dotplot differs from a bar graph in that:

Accepted Answer

Each individual data value is represented by a dot.

Question 8

If a pie chart shows that 36% of students received a grade of C, and there are 25 students in total, how many students received a C? Use the formula $$ 	ext{Number} = \frac{36}{100} 	imes 25 .$$

Accepted Answer

$$ 9 $$

Question 9

Which of the following is NOT a required label for a properly constructed bar graph?

Accepted Answer

A legend, if only one data set is displayed.

Question 10

Suppose you are given the following data set: 42, 67, 73, 78, 82, 84, 86, 91, 94, 99, 106. What would be the stem for the value 94 in a stem-and-leaf plot?

Accepted Answer

$$ 9 $$

Question 11

Why do Pareto charts often make it easier to identify the most important categories compared to standard bar graphs?

Accepted Answer

Because the bars are arranged from highest to lowest frequency.

Question 12

Given the table of the world's eight leading emitters of carbon dioxide, which country has the highest per person CO$$_2$$ emissions?

Accepted Answer

Saudi Arabia

Question 13

Which of the following best describes a stemplot?

Accepted Answer

A plot where each data value is split into a 'stem' (all but the final digit) and a 'leaf' (the final digit).

Question 14

If a histogram shows the distribution of exam scores with most scores clustered between 70 and 80, what can you infer about the shape of the distribution?

Accepted Answer

The distribution is approximately symmetric.

Question 15

Which of the following is a key step in constructing a stem-and-leaf plot?

Accepted Answer

Arrange the leaves in ascending order for each stem.

Question 16

A time-series graph is most useful for which type of data?

Accepted Answer

Data collected over intervals of time.

Question 17

If a bar graph is constructed for the population of the five largest U.S. cities, and the bars are arranged in alphabetical order, what type of graph is this?

Accepted Answer

A standard bar graph.

Question 18

Which of the following is true about the bars in a histogram?

Accepted Answer

The bars touch each other because the data is quantitative and the intervals are continuous.

Question 19

If a pie chart shows that 8% of students received an F, and there are 25 students in total, how many students received an F? Use the formula $$ 	ext{Number} = \frac{8}{100} 	imes 25 .$$

Accepted Answer

$$ 2 $$

Question 20

Which of the following is a reason why a legend is important in a graph?

Accepted Answer

It identifies multiple data sets displayed on the same graph.

Picturing Distributions of Data: Visualizing and Interpreting Data in Statistics

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