The relationship between two quantitative variables

It shows the percentage of items above a given weight group.

It is the value that divides the dataset into two equal halves.

Question 1

Which type of variable is represented in the frequency table of weights shown in the first image?

Accepted Answer

Continuous Quantitative

Question 2

Based on the frequency table of weights, what percentage of items weighed less than 5.1 kg?

Accepted Answer

$76\%$

Question 3

Which weight group is the most common in the frequency table?

Accepted Answer

$4.9 \leq w < 5.1$

Question 4

What type of graph is shown in the second image?

Accepted Answer

Histogram

Question 5

What is the shape of the distribution shown in the histogram (second image)?

Accepted Answer

Right-skewed

Question 6

Which type of graph is shown in the third image?

Accepted Answer

Stem-and-leaf plot

Question 7

In the stem-and-leaf plot (third image), what is the minimum value in the dataset?

Accepted Answer

$0.3$

Question 8

Which type of graph is shown in the fourth image?

Accepted Answer

Scatterplot

Question 9

What does the scatterplot (fourth image) best illustrate?

Accepted Answer

The relationship between two quantitative variables

Question 10

Which type of graph is shown in the fifth image?

Accepted Answer

Boxplot

Question 11

Based on the boxplot (fifth image), which of the following is true?

Accepted Answer

The data is right-skewed

Question 12

If you wanted to compare the distribution of a quantitative variable across two groups, which graph would be most appropriate?

Accepted Answer

Boxplot

Question 13

Which summary statistic would be most affected by an outlier in the dataset shown in the boxplot?

Accepted Answer

Mean

Question 14

Given the frequency table of weights, what is the cumulative percentage for weights less than $5.3$ kg?

Accepted Answer

$92\%$

Question 15

If you wanted to display the distribution of a single categorical variable, which graph would you use?

Accepted Answer

Pie chart

Question 16

Which of the following is NOT a valid interpretation of the cumulative percentage column in the frequency table?

Accepted Answer

It shows the percentage of items above a given weight group.

Question 17

Which of the following graphs would be most appropriate for displaying the relationship between two quantitative variables?

Accepted Answer

Scatterplot

Question 18

If the mean is greater than the median in a dataset, what is the likely shape of the distribution?

Accepted Answer

Right-skewed

Question 19

Which of the following is a correct interpretation of the median in the boxplot shown?

Accepted Answer

It is the value that divides the dataset into two equal halves.

Question 20

Which of the following graphs would be most appropriate for displaying the frequency of a discrete quantitative variable?

Accepted Answer

Histogram

Tables and Graphs in Business Statistics: Frequency Table, Histogram, Stem-and-Leaf, Dot Plot, and Boxplot

Study Guide - Practice Questions