ACT Science 1.7 Data Representation Passage
ACT Science: Data Representation Passage Drill 1, problem 7. Why is this student mistaken?
|ACT Science||Data Representation Passage|
|English I EOC Assessment||Analyzing Graphics|
|Product Type||ACT Science|
|Scientific Processes||Applying Information|
This is a tricky question. It's easy to answer this question wrong if you don't look at
it really carefully. A lot of people might solve the problem like this:
if we look at figure 1...it looks like the red: average salary, is a lot larger than
the green: the minimum salary. So the student "might not be mistaken".
But oh he would. Just by looking at this bar graph, we can't tell how many
players actually make up the data in any of the years. All we know is the AVERAGES.
So let's think about it. Say we had salaries of 10, 10, 10, 10, and 1000. Because of that
one high value, the average turns out to be 208, which is a lot higher than what
the proper average is...which is about 10. The same case applies to the graph we have.
The average salary could be much higher than the minimum salry because a few individuals
with high salaries are skewing the data. The correct answer is (C).