A survey was conducted to study the relationship between a college student’s age and the value of the car they drive. Data were collected from a random sample of 300 students from a certain college. The values of the students’ cars were found using Kelley Blue Book.Which of the following would be a meaningful display of the data from this study? Side-by-side boxplots A pie chart A histogram A two-way table A scatterplot
Question
A survey was conducted to study the relationship between a college student’s age and the value of the car they drive. Data were collected from a random sample of 300 students from a certain college. The values of the students’ cars were found using Kelley Blue Book.Which of the following would be a meaningful display of the data from this study? Side-by-side boxplots A pie chart A histogram A two-way table A scatterplot
Solution
To determine a meaningful display of the data from this study, we need to consider the variables involved and the type of data collected. In this case, we have two variables: the age of the college students and the value of the cars they drive.
A side-by-side boxplot would be a meaningful display as it allows us to compare the distribution of car values for different age groups. This can help us identify any patterns or trends in the data.
A pie chart would not be a meaningful display in this case as it is more suitable for displaying categorical data or proportions, rather than continuous numerical data like car values.
A histogram could be a meaningful display if we want to visualize the distribution of car values overall. It would show the frequency or count of car values within different value ranges.
A two-way table would not be a meaningful display in this case as it is typically used to display the relationship between two categorical variables, rather than a categorical and a numerical variable.
A scatterplot would also be a meaningful display as it can show the relationship between the age of the college students and the value of their cars. Each data point would represent a student, with their age on the x-axis and car value on the y-axis. This can help us identify any correlation or patterns between the two variables.
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