Multi-Source Reasoning - Dichotomous
Incorrect.
On the math section, George got a score of 180. Look at the Score Conversion Table and find the raw score(s) that correspond to a scaled score of 180.
In this table, there are two such raw scores: 14 and 15. Therefore, the statement is true.
Correct.
On the math section, George got a score of 180. Look at the Score Conversion Table and find the raw score(s) that correspond to a scaled score of 180.
In this table, there are two such raw scores: 14 and 15. Therefore, the statement is true.
That's right!
Look at the Score Conversion Table and find the raw score(s) that correspond to a scaled score of 270. Notice that only one raw score gives this scaled score: 29.
The description of this table states that the raw score is calculated by adding 1 point for each correct answer and subtracting 1/4 of a point for each incorrect answer. Therefore, it is true that George could have gotten exactly 29 questions correct if he got zero questions incorrect (in which case, he would have left the other 6 questions unanswered).
However, there are other possibilities. For instance, George could have gotten 30 questions correct and 4 questions incorrect because $$4\cdot \frac{1}{4} = 1$$ which means his raw score would be $$30-1=29$$, the raw score you want.
Since this statement could be true, but does not necessarily have to be true, the answer is No.
Yes!
Examine the Test Percentiles graph. You need to determine the percentage of test takers that got a math score higher than 180. Since the dashed line represents the math section, you should find the point where it crosses the line for a scaled score of 180.
This point corresponds to a percentile of about 25%, which means that about 25% of test takers got a math score less than or equal to 180. Thus, the statement is true.
Incorrect.
Examine the Test Percentiles graph. You need to determine the percentage of test takers that got a math score higher than 180. Since the dashed line represents the math section, you should find the point where it crosses the line for a scaled score of 180.
This point corresponds to a percentile of about 25%, which means that about 25% of test takers got a math score less than or equal to 180. Thus, the statement is true.
Incorrect.
Look at the Score Conversion Table and find the raw score(s) that correspond to a scaled score of 270. Notice that only one raw score gives this scaled score: 29.
The description of this table states that the raw score is calculated by adding 1 point for each correct answer and subtracting 1/4 of a point for each incorrect answer. Therefore, it is true that George could have gotten exactly 29 questions correct if he got zero questions incorrect (in which case, he would have left the other 6 questions unanswered).
However, there are other possibilities. For instance, George could have gotten 30 questions correct and 4 questions incorrect because $$4\cdot \frac{1}{4} = 1$$ which means his raw score would be $$30-1=29$$, the raw score you want.
Since this statement could be true, but does not necessarily have to be true, the answer is No.
