Graded Discussion: Misleading Graphs
Requirements:
A minimum of one post is required.
You must give a detailed solution to each question in your post to get full credit.
It is not enough to just give the final answer.
You must show steps or explain your reasoning.
If it is easier, you can write your solution out on paper, take a picture, and upload it to the discussion as a pdf file. The pdf file type is the only file type that will be accepted.
You will be able to see other students’ posts once you post your own solution.
Review their responses to determine if they agree with your own.
You are not required to make a second post, but you can reply to your own post with corrections. Don’t worry! You will not lose points for an incorrect answer in your first post as long as you make a reasonable effort on the first post and post a reply with the correct answer in your second post.
Complete required posts by the posted deadline.
Part 1: Prepare
Read this article about the way graphs can be misleading. https://www.statisticshowto.com/probability-and-statistics/descriptive-statistics/misleading-graphs/
Source of data: https://www.bls.gov/careeroutlook/2020/data-on-display/education-pays.htm
[2 pts] What is the ratio of the median weekly earnings of the holder of a high school diploma only to the median weekly earnings of the holder of a bachelor’s degree?
[2 pts] What is the ratio of the area of the red rectangle to the area of the blue rectangle in graph A? (The scale on the horizontal axis is 1 unit per grid mark.)
[2 pts] What is the ratio of the area of the red square to the area of the blue square in graph B? (The scale on the horizontal axis is 1 unit per grid mark.)
[2 pts] What is the ratio of the volume of the red cube to the volume of the blue cube in graph C? (The scale on the horizontal axis is 1 unit per grid mark and the bases of the prisms are squares.)
[2 pts] Explain which graph is the most misleading and give a mathematical justification for your answer.
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