Q: A pie chart is constructed to show the distribution of earned degrees in 2022. If 24.5% of degrees were associate’s degrees, what is the central angle for this sector? Use $$360^{\circ}$$ for the full circle.

$$360^{\circ}$$ \times 0.245 = $$88.2^{\circ}$$

Question 1

Which of the following best describes a stem-and-leaf plot?

Accepted Answer

A plot that separates each data value into a stem and a leaf, preserving the original data values.

Question 2

Given the following data set: 21, 25, 25, 26, 27, 28, 30, 36, 36, 45, what is the stem for the value 36 in a stem-and-leaf plot?

Accepted Answer

3

Question 3

Which of the following is a key advantage of a dot plot compared to a histogram?

Accepted Answer

It allows you to determine specific data entries.

Question 4

A pie chart is constructed to show the distribution of earned degrees in 2022. If 24.5% of degrees were associate’s degrees, what is the central angle for this sector? Use $$360^{\circ}$$ for the full circle.

Accepted Answer

$$360^{\circ}$$ 	imes 0.245 = $$88.2^{\circ}$$

Question 5

Which type of graph is most appropriate for displaying the top five causes of death in the United States, ordered from most to least frequent?

Accepted Answer

Pareto chart

Question 6

In a scatter plot of petal length versus petal width for iris flowers, what does a positive trend indicate?

Accepted Answer

As petal length increases, petal width also tends to increase.

Question 7

A time series chart is best used to display which of the following types of data?

Accepted Answer

Quantitative data measured at regular intervals over time.

Question 8

If a dot plot of the number of text messages sent in one day shows that most entries are between 20 and 80, but one entry is 148, what can you conclude?

Accepted Answer

148 is an unusual data entry (possible outlier).

Question 9

Which of the following statements about Pareto charts is correct?

Accepted Answer

Bars are arranged in order of decreasing height from left to right.

Question 10

Suppose you have paired data for the number of electric vehicles sold and the electricity demand for EVs from 2013 to 2023. Which graph would best show the trend in EV sales over time?

Accepted Answer

Time series chart

Question 11

Which of the following is NOT a feature of a stem-and-leaf plot?

Accepted Answer

It groups data into intervals, losing individual data values.

Question 12

If a pie chart shows that 49.1% of degrees conferred in 2022 were bachelor’s degrees, what fraction of the circle does this represent?

Accepted Answer

$$\frac{49.1}{100} = 0.491 of $$the circle

Question 13

Which of the following best describes a scatter plot?

Accepted Answer

A graph that displays paired data as points in a coordinate plane.

Question 14

A time series chart for EV sales from 2013 to 2023 shows a decrease from 2019 to 2020. What does this indicate?

Accepted Answer

EV sales declined during that period.

Question 15

Which of the following is a correct step in constructing a pie chart?

Accepted Answer

Multiply the category’s relative frequency by $$360^{\circ} to $$find the central angle.

Question 16

Which type of graph would be most appropriate to show the relationship between two quantitative variables, such as height and weight?

Accepted Answer

Scatter plot

Descriptive Statistics: Graphical Representation of Data

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