Question 1

A histogram is a graph that represents the cumulative frequencies for the classes in a frequency
distribution.

Accepted Answer

A histogram represents the frequencies for the classes in a frequency distribution, not the cumulative frequencies. A cumulative frequency histogram would be a graph that displays the cumulative frequency for each class.

Question 2

A frequency polygon and a histogram have the same overall shape.

Accepted Answer

A frequency polygon and a histogram both show the distribution of a dataset, but a frequency polygon plots the frequency of each value on a line graph while a histogram uses bars to represent the frequency of each interval of values. Despite their different formats, they can have the same overall shape.

Question 3

A Pareto chart arranges data from largest to smallest according to frequencies.

Accepted Answer

A Pareto chart represents data in descending order of frequency, with the highest frequency on the left and the lowest frequency on the right.

Question 4

A grouped frequency distribution is used when the range of the data values is relatively small.

Accepted Answer

A grouped frequency distribution is used when the range of data values is large, to organize data into intervals or "groups" for easier analysis.

Question 5

A time series graph is useful for detecting long term trends over a period of time.

Accepted Answer

A time series graph plots data over a period of time and is useful for analyzing long term trends. By visualizing the data, it is easier to identify patterns, trends or anomalies over time.

Question 6

A pie graph was created showing the number of children per family. If 234 families were in the survey
and the section depicting families with three children represented 120°, the number of families with three
children was 78.

Accepted Answer

A pie chart represents data in a circular format, where the entire circle is 360°. If the section for families with three children is 120°, it represents 1/3 of the circle (120°/360° = 1/3). Therefore, 1/3 of the 234 families is 78 families (234 * 1/3 = 78).

Question 7

A stem and leaf plot is useful for keeping more precision than a grouped frequency distribution.

Accepted Answer

A stem and leaf plot displays individual data points while still providing an organized way to see the frequency of each value. In contrast, a grouped frequency distribution can lose precision by grouping data points together and not displaying each individual value.

Question 8

When two sets of data are compared on the same graph using two lines, it is called a compound time
series graph.

Accepted Answer

A compound time series graph displays two or more sets of data on the same graph using different lines for each set.

Question 9

The frequency polygon is a graph that displays the data by using lines that connect points plotted for the
frequencies at the midpoints of the classes.

Accepted Answer

The statement accurately describes the frequency polygon.

Question 10

A histogram uses the midpoints for the x values and the frequencies as the y values.

Accepted Answer

A histogram uses the class intervals (or bins) for the x values and the frequencies as the y values, not the midpoints.

Question 11

A pie graph would best represent the number of inches of rain that has fallen in Thunder Bay, Ontario
each day for the past 2 months.

Accepted Answer

A pie graph would not be the best way to represent the number of inches of rain that has fallen each day because a pie graph is best used for showing parts of a whole or percentages, while a line graph or bar graph would be better suited for showing the variation of rainfall over time.

Question 12

An ogive graph is also called a cumulative frequency graph.

Accepted Answer

This statement is true, as an ogive graph displays the cumulative frequency of data, showing the total number of values that fall below or equal to a particular data point. Therefore, it is also commonly referred to as a cumulative frequency graph.

Question 13

The lower class limit represents the smallest data value that can be included in the class.

Accepted Answer

The lower class limit is the smallest data value that can be included in a class.

Question 14

A time series graph represents data that occur over a specific period.

Accepted Answer

A time series graph displays data points that are taken at regular intervals over time. It is commonly used in various fields, such as economics, finance, and weather forecasting. The x-axis of the graph represents time and the y-axis represents the variable being measured. The line connecting the data points shows the trend and pattern of the variable over time.

Question 15

An ogive and a frequency polygon have the same overall shape.

Accepted Answer

An ogive is a cumulative frequency graph, while a frequency polygon is a line graph of frequencies. They represent data differently and thus have different shapes.

Question 16

Graphs give a visual representation that enables readers to analyze and interpret data more easily than
they could simply by looking at numbers.

Accepted Answer

Graphs use visual elements such as lines, bars, and pie charts to represent data, making it easier for readers to understand patterns and relationships in the data. This visual representation can help readers quickly identify trends and draw insights that might not be apparent from just looking at numbers.

Question 17

If the limits for a class were 20-38, the boundaries would be 19.5-38.5.

Accepted Answer

The boundaries for a class are calculated by adding and subtracting 0.5 from the limits. In this case, 20-0.5=19.5 and 38+0.5=38.5, so the boundaries are 19.5-38.5.

Question 18

The cumulative frequency is the sum of the frequencies accumulated to the upper boundary of a class in
the distribution.

Accepted Answer

The definition of cumulative frequency is correct, making the statement true.

Question 19

A Pareto chart is useful for showing percentages of the total.

Accepted Answer

The answer of A Pareto chart is useful for showing...

Question 20

For the class 16.3-23.8, the width is 7.

Accepted Answer

The answer of For the class 16.3-23.8, the width is...

Quiz 2: Frequency Distributions and Graphs

A histogram is a graph that represents the cumulative frequencies for the classes in a frequency distribution.

A frequency polygon and a histogram have the same overall shape.

A Pareto chart arranges data from largest to smallest according to frequencies.

A grouped frequency distribution is used when the range of the data values is relatively small.

A time series graph is useful for detecting long term trends over a period of time.

A pie graph was created showing the number of children per family. If 234 families were in the survey and the section depicting families with three children represented 120°, the number of families with three children was 78.

A stem and leaf plot is useful for keeping more precision than a grouped frequency distribution.

When two sets of data are compared on the same graph using two lines, it is called a compound time series graph.

The frequency polygon is a graph that displays the data by using lines that connect points plotted for the frequencies at the midpoints of the classes.