<p>A class of seven students was given a test. Scores ranged from 12 to 30, inclusive. The median score was 24 and 27 was the score that occured the most frequently. Which of the following could be the average of the student's scores?</p>
<p>A) 18
B) 21
C) 24
D) 27
E) 30</p>
<p>Thanks!</p>
<p>Well you know the following numbers have to be the results
There has to be a 12, 24, at least 2 27’s, and 30.</p>
<p>12, 24, 27, 27, 30.</p>
<p>Also, if 24 is the middle number, there has to be 2 numbers between 12 and 24.
If you say the 2 numbers are 13 and 14 (the lowest it can be), the average is 21.
If you say the 2 numbers are 22 and 23 (the highest it can be), the average is 23.6.</p>
<p>Therefore, since the average can only be between 21 and 23.6, the answer is 21</p>
<p>If you have any questions regarding my explanation, feel free to ask.</p>
<p>Yes i have one question.
How did u know that you HAD to include 12 and 30 just cause it said inclusive?</p>
<p>That’s what the word inclusive means. It means it INCLUDES those numbers.</p>
<p>Yes, what DrSteve said.</p>
<p>“How do you know you have to include it, if it says inclusive?”</p>
<p>Lol that sounded pretty ditzy</p>
<p>This seems like a very hard question, one that would take an advanced student a minute or two to think through. I’m wondering if it was taken from an actual SAT reasoning test.</p>
<p>I think I could see it on there. It isn’t that hard to guess on because I think one could eliminate A, D, and E right away.</p>