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? A histogram Side-by-side boxplots A pie chart 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? A histogram Side-by-side boxplots A pie chart 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 relationship we are trying to analyze. In this case, we are studying the relationship between a college student's age and the value of the car they drive.
A histogram would be a suitable display for this study. It allows us to visualize the distribution of car values across different age groups. We can group the car values into intervals and plot the frequency or proportion of students in each interval. This will give us an overview of how car values vary among different age groups.
Side-by-side boxplots could also be a meaningful display. This would allow us to compare the distribution of car values for different age groups side by side. We can easily identify any differences or similarities in the car values based on age.
A pie chart would not be appropriate for this study as it is more suitable for displaying categorical data or proportions of a whole, rather than continuous numerical data like car values.
A two-way table would not be the best choice either, as it is typically used to display the relationship between two categorical variables, rather than a categorical and a continuous variable.
A scatterplot could be another meaningful display for this study. It would allow us to plot the individual data points, with age on the x-axis and car value on the y-axis. This would help us visualize any patterns or trends in the relationship between age and car value.
In summary, the most meaningful displays for this study would be a histogram or side-by-side boxplots, as they would provide insights into the relationship between a college student's age and the value of the car they drive.
Similar Questions
A survey was conducted to study the relationship between the annual income of a family and the amount of money the family spends on entertainment. Data were collected from a random sample of 280 families from a certain metropolitan area.Which of the following would be a meaningful display of the data from this study? Side-by-side boxplots A two-way table A pie chart A scatterplot A histogram
A store asked 250 of its customers whether or not they were satisfied with the service. The responses were also classified according to the gender of the customers. We want to study whether there is a relationship between satisfaction and gender.Which of the following would be a meaningful display of the data from this study? A scatterplot Side-by-side boxplots A pie chart A histogram A two-way table
In order to study whether there is a relationship between gender and age at marriage, 50 couples were randomly selected and the age of the bride and groom were recorded.Which of the following would be a meaningful display of the data from this study? A histogram A pie chart Side-by-side boxplots A scatterplot A two-way table
The scatter graph shows the age and the value of each of ten cars of the same make and model.11 00010 0009000800070006000500040003000200010000 11109876543210Age (years)Value of car(£)(a) Describe the relationship between the value of a car and the age of the car.....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................(1)(b) Draw a line of best fit on the scatter graph.(1)It may not be reliable to use the line of best fit to predict the value of a car that is10 years old.(c) Give a reason why.......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................(1)(Total for Question 2 is 3 marks)
Students collected data about members of their favourite sporting teams.They were asked to collect data for their height, years at the club and age, and display the data using methods they had been studying. Four students were observed.Which student used a method of display that was not appropriate for the data?Question 1Select one:a.Ali used 3 line graphs.b.Trudy used a stem and leaf plot for the heights and dot plots for the years at the club and ages.c.Siobhan used stem and leaf plots for years at the club and ages, and a dot plot for height.d.Hugo used histograms for years at the club and ages, and a dot plot for height.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.