Multi-Source Reasoning - Dichotomous
Incorrect.
All this answer tells you is that Nicole's percentile for the math section was greater than 50%. But if you look at the Test Percentiles graph, you can see that you only need a scaled score of about 195 or greater to be above the 50th percentile for math.
Therefore, this answer does not definitely tell you whether the statement is true or false. Nicole could have gotten a 220, for instance. Or she could have gotten a 260. Either score is consistent with this piece of information.
Incorrect.
If this answer is true, then Nicole's math percentile was greater than 80%. From the Test Percentiles graph, she will only have a math score of 260 if she is in about the 90th percentile exactly.
Thus, the problem is that this answer is too vague. If Nicole is in the 90th percentile, then the statement is true. If not-for instance, if she is in the 85th or 95th percentile-then it is false.
Incorrect.
Since you don't know Nicole's score on the critical reading section, this answer does not tell you anything about her score on the math section.
That's right!
If Nicole got eight math questions incorrect, then at most, she got 35 - 8 = 27 questions correct. Calculate Nicole's maximum raw score using the information in the first tab:
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She gets 27 points for the correct answers.
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For the incorrect answers, you need to subtract $$8\cdot\frac{1}{4}=2$$ points.
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Thus, at most, her raw score can be a 27 - 2 = 25.
In the Score Conversion Table, notice that a raw score of 25 corresponds to a scaled score of 250. Thus, with this piece of information, Nicole's maximum scaled score is a 250. This tells you that the statement is definitely false.
Incorrect.
This answer is very tempting, but notice that it doesn't tell you how many question she got incorrect, which is part of the calculation for a test taker's raw score.
Looking at the Score Conversion Table, you can see that Nicole would only get a 260 if her raw score is either 27 or 28. Ask yourself if this piece of information tells you enough to determine whether her raw score was a 27 or 28. Here are two possibilities:
(1) If Nicole got zero questions incorrect, then her raw score would be a 29.
(2) However, if she got some incorrect, then you have to subtract 1/4 of a point for each incorrect answer. Thus, if Nicole got four questions incorrect, then you need to subtract $$4\cdot\frac{1}{4}$$ point, giving a raw score of $$29-1=28$$.
In case (1), Nicole gets a scaled score of 270, while in case (2), she gets a scaled score of 260. Therefore, this answer does not definitely tell you whether the statement is true or false.
