Q: Given the following counts from the bar chart: Hfx = 14, NS = 2, Atl. Can. = 9, Can. = 1, Outside Can. = 16. What is the relative frequency (as a percentage) of students from 'Atl. Can.'? Use the formula $$ \text{Relative Frequency} = \frac{\text{Count}}{\text{Total}} \times 100 .$$

$$ \frac{9}{42} \times 100 = 21.4\% $$

Question 1

Which of the following best describes the variable 'Location of High School Graduation' as shown in the bar charts?

Accepted Answer

It is a categorical variable because it identifies groups based on location.

Question 2

Suppose you want to summarize the data from the bar charts using a table that shows the proportion of students from each location. What type of table should you use?

Accepted Answer

A relative frequency table

Question 3

Based on the bar charts, which location had the highest number of students graduating from high school?

Accepted Answer

Outside Can.

Question 4

If you were to create a pie chart from the data shown, what would each slice represent?

Accepted Answer

A different location category

Question 5

Which of the following is NOT a recommended practice when constructing bar charts or pie charts, according to the study materials?

Accepted Answer

Using many bright colors to make the chart more attractive

Question 6

What is the main difference between a frequency table and a relative frequency table?

Accepted Answer

A frequency table shows counts, while a relative frequency table shows proportions or percentages.

Question 7

Given the following counts from the bar chart: Hfx = 14, NS = 2, Atl. Can. = 9, Can. = 1, Outside Can. = 16. What is the relative frequency (as a percentage) of students from 'Atl. Can.'? Use the formula $$ 	ext{Relative Frequency} = \frac{	ext{Count}}{	ext{Total}} 	imes 100 .$$

Accepted Answer

$$ \frac{9}{42} 	imes 100 = 21.4\% $$

Question 8

Which of the following best explains why 'student ID' is not analyzed as a variable in statistical summaries?

Accepted Answer

Because it is an identifier variable and does not provide meaningful information for analysis.

Question 9

A student claims that the bar chart shows that most students graduated from high school in Nova Scotia. Is this claim supported by the data?

Accepted Answer

Yes, because 'Hfx' and 'NS' together represent Nova Scotia, and their combined count is the highest.

Question 10

Which of the following is an example of a quantitative variable?

Accepted Answer

Final grade in Math 2208

Question 11

If you wanted to compare the distribution of high school locations for two different years, which graphical display would be most appropriate?

Accepted Answer

Two side-by-side bar charts

Question 12

Which of the following best describes the 'distribution' of a variable?

Accepted Answer

The values taken on by a variable and the pattern of those values

Question 13

Why is it important to include context (the W's: who, what, when, where, why, how) when analyzing data?

Accepted Answer

Because context helps us understand what the data represent and how to interpret results.

Question 14

Which of the following statements about pie charts is TRUE?

Accepted Answer

Pie charts are useful for showing the proportion of each category in a whole.

Question 15

A student wants to know if there is a relationship between the location of high school graduation and final grade in Math 2208. Which type of variable is 'final grade'?

Accepted Answer

Quantitative

Question 16

If you were to add up all the percentages in the first bar chart, what should the total be?

Accepted Answer

$$100\%$$

Question 17

Which of the following is an example of an ordinal variable?

Accepted Answer

TripAdvisor rating (1 = terrible, 5 = awesome)

Question 18

Suppose you want to know why students chose to attend MSVU. Which 'W' of data context does this question address?

Accepted Answer

Why

Question 19

Which of the following is NOT a categorical variable?

Accepted Answer

Price of a litre of gas

Question 20

If a student mislabels the y-axis of a bar chart showing counts as 'Percent', what is the most likely consequence?

Accepted Answer

The chart will mislead viewers about the meaning of the data.

Introduction to Statistics: Data, Variables, and Displaying Categorical Data

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