Hi! I know I am asking a lot since this is a huge question, but I was wondering if anyone could help or walk me through it. I totally understand if you do not want to help. But I am really confused and any help at all would be amazing. Thank you!
You are writing an article on gaming systems for your school newspaper. You take a survey of 250 people
ages 13 to 18 and ask whether they have a home gaming system, a portable gaming system, or no gaming
system. The results of your survey are shown in the matrix below.
Age:13 14 15 16 17 18
No gaming: 18 12 8 6 12 16
Portable gaming: 5 5 4 9 7 6
Home gaming: 12 22 26 32 24 26
a) Make a histogram that represents the number of students who have gaming systems (either home or
portable). Is the histogram uniform, symmetric, or skewed?
b) Display some or all of the data using a different representation. Explain your choice.
c) If a person needed to know as much specific data as possible, what kind of data display would you show
the person? Why?
d) What is the experimental probability that the next person you survey does not have a gaming system?
a) To make a histogram representing the number of students who have gaming systems, you would need to add up the number of students who have home gaming systems and portable gaming systems for each age group. Then, you can create a bar chart with the age groups on the x-axis and the number of students on the y-axis. Each bar should represent the total number of students who have gaming systems for that age group.
To determine if the histogram is uniform, symmetric or skewed, you would need to analyze the distribution of the bars. If the bars are roughly equal in height and shape, the histogram is considered uniform. If the bars are approximately symmetrical around a central value, the histogram is symmetric. On the other hand, if the bars are significantly different in height and shape, the histogram is skewed.
b) A different representation that could be used to display the data is a pie chart. A pie chart would show the proportion of students with different types of gaming systems among the total respondents. Each slice of the pie would represent a percentage of home gaming, portable gaming, or no gaming systems. This representation can give a quick visual understanding of the distribution of gaming systems among the survey participants.
c) If someone needed to know as much specific data as possible, a data table or spreadsheet would be the best choice. This would allow for all the data to be shown in an organized manner, with each row representing a different age group and each column representing the type of gaming system. This way, the person can access and analyze all the specific data points they need.
d) To calculate the experimental probability that the next person surveyed does not have a gaming system, you would divide the number of people without gaming systems by the total number of people surveyed. In this case, the number of people without gaming systems is the sum of the "No gaming" values for all age groups, which is 18+12+8+6+12+16 = 72. The total number of people surveyed is 250. Therefore, the experimental probability would be 72/250 = 0.288, or 28.8%.