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)
relationship between favorite color and age
relationship between number of pets and favorite TV show
relationship between hours of exercise and number of siblings
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.
My answers:
1. box-and-whisker plot
2. relationship between hours in the car and distance traveled
3. A circle graph shows how each category of time relates to the total amount of time
Can you help?
I agree with your answers.
Thank you
You're welcome.
1. To determine the type of graph that does not show the number of times a response was given, you can analyze the characteristics of each graph option.
- Box-and-whisker plot: This type of graph displays the distribution of a set of data by showing the minimum, first quartile, median, third quartile, and maximum values. It does not provide information about the frequency of each response, so it is a potential option.
- Line plot: A line plot, also known as a dot plot, is a graph that displays data points using a line. It can show the frequency of each response by displaying a dot for each occurrence. Therefore, it is not the correct answer as it does show the number of times a response was given.
- Stem-and-leaf plot: A stem-and-leaf plot is a visual representation of data that shows the distribution of values. Each data point is split into a stem and a leaf, allowing for the representation of individual values. Like the line plot, it can indicate the frequency of each response, so it is not the correct answer.
- Bar graph: A bar graph uses rectangular bars to represent data and compare different categories. Each category is assigned a bar, and the height of the bar represents the frequency or value of that category. However, it does not provide a specific count of the number of times a response was given. Therefore, this is the correct answer.
2. To determine the type of information suited for display on a scatter plot, you need to assess the nature of the relationships described in each option.
- Relationship between favorite color and age: This type of information would be well-suited for a scatter plot, as it can graphically display the correlation between different age groups and their favorite colors.
- Relationship between number of pets and favorite TV show: A scatter plot would also work well for this scenario, as it can visualize the connection between the number of pets a person has and their preferred TV show.
- Relationship between hours of exercise and number of siblings: Again, a scatter plot can effectively show how the number of siblings relates to the amount of exercise a person engages in.
- Relationship between hours in the car and distance traveled: This type of information is most appropriate for display on a line plot or a line graph, as it showcases a continuous variable (hours in the car) and its resultant impact on another continuous variable (distance traveled). A scatter plot would not be the best choice.
Therefore, the correct answer is the relationship between hours in the car and distance traveled.
3. To determine the advantage of choosing a circle graph to show how you spend your time each day, you can evaluate the characteristics of a circle graph in relation to the given options.
- A circle graph shows how each category of time relates to the total amount of time: This statement accurately describes one advantage of choosing a circle graph. As a circle graph uses sectors to represent different categories, the size of each sector represents the proportion of time spent on that category in relation to the total time spent.
- A circle graph is easier to make: This statement is incorrect, as the ease of making a graph does not provide an advantage in terms of the accuracy or meaningful representation of the data.
- It is easy to calculate the mean, median, and mode with a circle graph: This statement is incorrect, as a circle graph represents categorical data rather than numerical values. Measures like mean, median, and mode are better suited for numerical data analysis.
- A circle graph will show the times when you are the busiest: This statement is incorrect, as a circle graph represents proportions and percentages rather than specific times or periods. It does not provide detailed information about specific time intervals of high activity.
Therefore, the correct answer is: A circle graph shows how each category of time relates to the total amount of time.