1. What type of graph does not show the number of times a response was given? (1 point)
box-and-whisker plot
line plot
stem-and-leaf plot
bar graph
2. Which of the following types of information is suited for display on a scatter plot? (1 point)
the types of car models in your neighborhood
the numbers of pets in neighborhood households
your average daily minutes of exercise
the relationship between hours in the car and distance traveled
3. You want to make a graph to show how you spend your time each day. What is an advantage
of choosing a circle graph for this data?
(1 point)
A circle graph shows how each category of time relates to the total amount of time.
A circle graph is easier to make.
It is easy to calculate the mean, median, and mode with a circle graph.
A circle graph will show the times when you are the busiest.
Use the following two ways to display the test scores received on Mr. Alexander's math test. Use these displays to
solve each problem.
4. Which graph shows the lowest score on the test? (1 point)
both graphs
only the stem-and-leaf plot
only the circle graph
Neither of the graphs shows this information.
Use the following two ways to display the test scores received on Mr. Alexander's math test. Use these displays to
solve each problem.
5. Which graph shows that most of the students earned between 80–89 on the test? (1 point)
both graphs
only the stem-and-leaf plot
only the circle graph
Neither of the graphs shows this information
.
1. What type of graph does not show the number of times a response was given? (1 point)
box-and-whisker plot
line plot
stem-and-leaf plot
bar graph
box-and-whisker plot
1. To determine the type of graph that does not show the number of times a response was given, we need to understand the characteristics of each option.
- Box-and-whisker plot: This type of graph displays the distribution of a set of data using a box and whiskers. It shows the minimum, first quartile, median, third quartile, and maximum values, but does not show the number of times a response was given.
- Line plot: Also known as a dot plot, a line plot displays data in a number line format where each data point is represented by a dot. Although it provides a visual representation of each data point, it does not show the frequency of responses.
- Stem-and-leaf plot: This type of graph represents data values by separating them into a stem (the leading digit/s) and a leaf (the trailing digit/s). While it organizes data, it does not directly display the number of times a response was given.
- Bar graph: A bar graph uses rectangular bars to represent data categories and their corresponding values. Each category's frequency or count is typically shown on the vertical axis. However, it can show the number of times a response was given.
Based on this information, the correct answer is the stem-and-leaf plot because it does not directly show the number of times a response was given.
2. To determine the type of information suited for display on a scatter plot, we need to understand the purpose and characteristics of a scatter plot.
- Scatter plot: This type of graph uses a Cartesian coordinate system to display the relationship between two variables. It represents data points as individual dots, with each dot's position determined by its corresponding values on the x and y axes.
Considering this, the information that is best suited for display on a scatter plot is the relationship between hours in the car and distance traveled. A scatter plot is specifically designed to show the correlation or relationship between two variables, making it suitable for representing this type of information.
3. To identify the advantage of choosing a circle graph to display how you spend your time each day, we need to understand the characteristics and benefits of a circle graph.
- Circle graph: Also known as a pie chart, a circle graph displays data as segments of a circle, with each segment representing a category and its respective proportion of the whole. The size of each segment is proportional to the category's value in relation to the total.
In this case, the advantage of choosing a circle graph for this data is that it shows how each category of time relates to the total amount of time. By visually representing the proportions, it allows a clear comparison of different categories and their respective contributions to the total time spent.
4. To determine which graph shows the lowest score on the test, we need to examine both the stem-and-leaf plot and the circle graph.
- Stem-and-leaf plot: This graph breaks down the test scores into stems and leaves, where the stems represent the tens digit and the leaves represent the units digit. It displays the actual scores but requires careful observation to identify the lowest score.
- Circle graph: This type of graph represents data categories as segments of a circle. Although it provides an overall view of the data, it does not show individual scores or their order.
Therefore, the correct answer is neither of the graphs shows the lowest score on the test. The stem-and-leaf plot displays the individual scores, but it does not directly identify the lowest one. The circle graph does not provide score-specific information.
5. To determine which graph shows that most of the students earned between 80 and 89 on the test, we again need to examine both the stem-and-leaf plot and the circle graph.
- Stem-and-leaf plot: This graph breaks down the test scores into stems and leaves, allowing us to observe the distribution of scores. By examining the stems and the corresponding leaves, we can identify the frequency of scores falling within a specific range, such as 80-89.
- Circle graph: Like before, the circle graph represents data categories as segments of a circle, but it does not show individual scores or their ranges.
Given this information, the stem-and-leaf plot is the only graph that can show that most of the students earned between 80 and 89 on the test. It provides a detailed breakdown of the scores, allowing us to precisely determine the frequency within a specific range.