Q: What is the formula for the range of a quantitative dataset?

$$ \text{Range} = \text{Max} - \text{Min} $$

Question 1

Which of the following best describes the main purpose of a frequency table in statistics?

Accepted Answer

To list categories of data and the number of observations for each unique value.

Question 2

Given the frequency table for types of injuries at a clinic, what is the relative frequency of 'Back' injuries if there are 30 total injuries?

Accepted Answer

$$ \frac{12}{30} = 0.4 $$

Question 3

Which type of graph is best suited for displaying the relative frequencies of categorical data and always sums to 100%?

Accepted Answer

Pie chart

Question 4

A bar graph can display both frequencies and relative frequencies. What is the main advantage of using relative frequencies instead of frequencies?

Accepted Answer

Relative frequencies allow for easier comparison between groups of different sizes.

Question 5

Which of the following is NOT a feature of a histogram?

Accepted Answer

Histograms are used to display categorical data.

Question 6

If a dataset of movie runtimes is displayed as a dotplot and a histogram, which observation can be found in both displays?

Accepted Answer

The exact number of movies that are exactly 120 minutes long.

Question 7

What is the formula for the range of a quantitative dataset?

Accepted Answer

$$ 	ext{Range} = 	ext{Max} - 	ext{Min} $$

Question 8

Which distribution shape is described as 'bell-shaped' and is commonly referred to as a normal distribution?

Accepted Answer

Normal distribution

Question 9

A histogram of peak chart positions for singles released by Beyoncé shows most values clustered at lower chart positions and fewer at higher positions. How would you describe the shape of this distribution?

Accepted Answer

Left-skewed

Question 10

In a contingency table comparing first-generation college students and ESL status, what type of graph would best display the comparison between these two categorical variables?

Accepted Answer

Side-by-side bar graph

Question 11

Which measure of center is defined as the most frequent observation in a dataset?

Accepted Answer

Mode

Question 12

A dataset of arrivals at Wendy’s during 15-minute intervals is displayed as a histogram. If the histogram is roughly symmetric, which measure of center is most appropriate to describe the typical value?

Accepted Answer

Mean

Question 13

Which of the following is a disadvantage of using a dotplot for a large dataset with many repeated values?

Accepted Answer

It becomes difficult to interpret due to overlapping dots.

Question 14

If a pie chart displays the anxiety status of students as 72% moderate, 20% normal, and 8% severe, what is the total percentage represented?

Accepted Answer

$$ 72\% + 20\% + 8\% = 100\% $$

Question 15

Which of the following best describes an outlier in a quantitative dataset?

Accepted Answer

A value that is far from the majority of the data.

Question 16

When comparing two groups using a side-by-side bar graph, what is a key advantage over a stacked bar graph?

Accepted Answer

It allows for easier comparison of individual group frequencies.

Question 17

If the histogram of movie runtimes is right-skewed, which measure of center is likely to be greater: the mean or the median?

Accepted Answer

Mean

Question 18

Which type of graph is best for displaying the distribution of a large quantitative dataset?

Accepted Answer

Histogram

Question 19

A two-way table displays the results of two categorical variables. What is another name for this type of table?

Accepted Answer

Contingency table

Question 20

If you want to compare the spread of two datasets, which statistical measure would you use?

Accepted Answer

Range

Describing Data Graphically: Frequency Tables, Bar Graphs, Pie Charts, and Distribution Shapes

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