Question 1

Dot Plots are mainly used to display a large data set.

Accepted Answer

Dot plots are best suited for small to moderate-sized data sets, as they display individual data points and can become cluttered with larger data sets.

Question 2

A scatter plot shows how the numbers in a data set are scattered around their average.

Accepted Answer

A scatter plot shows the relationship between two variables by displaying data points on a two-dimensional graph, not how data is scattered around their average.

Question 3

A scatter plot indicates that two variables are unrelated as their data are scattered.

Accepted Answer

A scatter plot shows the relationship between two variables, and the pattern of the data points can indicate various types of correlations (positive, negative, or no correlation), not necessarily that they are unrelated.

Question 4

A scatter plot is a two-dimensional graph plot of data containing pairs of observations on two numerical variables.

Accepted Answer

A scatter plot visually represents the relationship between two numerical variables by displaying data points on a two-dimensional graph, where each axis represents one of the variables.

Question 5

A graphical representation of a frequency distribution is called a pie chart.

Accepted Answer

A graphical representation of a frequency distribution is typically called a histogram or a bar chart, while a pie chart represents parts of a whole.

Question 6

For a company in a gardening supplies business, the best graphical presentation of the percentage of the total budget spent in each different expense category is the stem and leaf plot.

Accepted Answer

The best graphical presentation for showing the percentage of the total budget spent in each different expense category is a pie chart, as it visually represents parts of a whole.

Question 7

A cumulative frequency distribution provides a running total of the frequencies through the classes of a frequency distribution.

Accepted Answer

A cumulative frequency distribution indeed shows the sum of the frequencies for each class and all classes below it in a frequency distribution, effectively providing a running total.

Question 8

A cumulative frequency polygon is also called an ogive.

Accepted Answer

An ogive is another name for a cumulative frequency polygon, which represents the cumulative frequencies for the classes in a frequency distribution.

Question 9

One rule that must always be followed in constructing frequency distributions is that adjacent classes must overlap.

Accepted Answer

Adjacent classes in frequency distributions must not overlap to ensure that each data point is classified into a single, unique class without ambiguity.

Question 10

A Pareto chart and a pie chart are both types of qualitative graphs.

Accepted Answer

A Pareto chart and a pie chart are both used to represent categorical data, which is qualitative in nature.

Question 11

In contrast to quantitative data graphs that are plotted along a numerical scale, qualitative graphs are plotted using non-numerical categories.

Accepted Answer

Qualitative graphs use categories or groups on at least one axis, rather than numerical values, to represent data.

Question 12

The difference between the highest number and the lowest number in a set of data is called the differential frequency.

Accepted Answer

The difference between the highest number and the lowest number in a set of data is called the range, not the differential frequency.

Question 13

For any given data set, a frequency distribution with a larger number of classes will always be better than the one with a smaller number of classes.

Accepted Answer

A larger number of classes in a frequency distribution can lead to over-detailed and sparse data, making it harder to identify patterns and trends, whereas a smaller number of classes might better summarize and convey the essential information of the data set. The optimal number of classes depends on the data and the analysis goals.

Question 14

In a histogram, the tallest bar(s)represents the class or classes with the highest cumulative frequency.

Accepted Answer

In a histogram, the tallest bar(s) represent the class or classes with the highest frequency, not the highest cumulative frequency. Cumulative frequency is the total counts up to a certain class, not the count within a single class.

Question 15

If the individual class frequency is divided by the total frequency, the result is the median frequency.

Accepted Answer

Dividing the individual class frequency by the total frequency gives the relative frequency, not the median frequency. The median frequency refers to the cumulative frequency that reaches or exceeds half the total number of observations, used in determining the median in grouped data.

Question 16

A cross tabulation is a graph that separately displays the frequency counts for two variables.

Accepted Answer

A cross tabulation is a table, not a graph, that displays the frequency counts for two variables to analyze the relationship between them.

Question 17

One advantage of a stem and leaf plot over a frequency distribution is that the values of the original data are retained.

Accepted Answer

A stem and leaf plot shows the actual data values, grouped by their leading digits, allowing for the original data to be reconstructed, unlike a frequency distribution which summarizes data into intervals, losing individual data values.

Question 18

A summary of data in which raw data are grouped into different ordered intervals and the number of items in each group is noted is called a frequency distribution.

Accepted Answer

A frequency distribution is indeed a summary method where data are grouped into ordered intervals or categories, and the frequency (the number of occurrences) of items in each group is recorded.

Question 19

A scatter plot is useful for examining the relationship between two numerical variables.

Accepted Answer

A scatter plot visually displays the relationship between two numerical variables, allowing for the observation of patterns, trends, and potential correlations between them.

Question 20

A histogram can be described as a type of vertical bar chart.

Accepted Answer

A histogram is indeed a type of vertical bar chart that is used to represent the distribution of numerical data by showing the number of data points that fall within a range of values, known as bins.

Quiz 2: Visualizing Data With Charts and Graphs