Guessing on The SAT Test WWW.SELECTPREP.COM https://www.facebook.com/SelectPrep
Many test prep companies teach you to eliminate at least one or two of the five answers and then GUESS. Try Google© “Guessing on the SAT”, and you’ll see what I mean. These companies base their recommendations on the following:
The SAT© subtracts a quarter of a raw point for every wrong answer-every correct answer results in one whole raw point. These wrong answer deductions are called penalty points and are designed to counteract RANDOM guessing. If you guess randomly on a selection of questions with 5 possible answers, statistical probability states that you will be correct 1/5th of the time and incorrect 4/5ths of the time. So, according to the GUESSING strategy, your guessing shouldn’t affect your score. e.g., A correct answer = 1 point for correct, and 4 incorrect answers = +1 -1[4X-1/4]=0. A wash, NO? So, if you can get a little lucky, why not guess? You may come out ahead.
The problem with this approach is that it relies on probability and randomness in order to work. But no rational test taker chooses an SAT answer randomly–a test taker chooses an answer based upon ideas or feelings about the question. Therefore, the entire notion of relying on probability is flawed, because probability relies on random selection.
The guessing strategy seems great in theory. If you can eliminate two incorrect answer choices and then guess randomly, you should end up gaining points. But no one does this. No one guesses randomly.
A student guessing on an SAT© test is not a true random guesser, and The College Board© knows it.
Here's what the College Board folks do:
First of all, the SAT questions are designed so that you will lose control of the question. How much gobbledygook is there in an SAT question, especially Reading questions? How often has the following test scenario happened to you?...
You read a passage, then the first question. Then you go back to the passage, looking for the right answer. Then back to the answers, back to the passage, back to the answers…and so on. Do you know what’s happened to you?
You’ve lost control of the question! You probably never had control of the question!
So if you don't understand the question well enough to answer it, the odds are VERY good that you will cross out the correct answer right from the start. Now your chance of being correct drops to zero. Random is gone.
Funny, NO? Read on…
Here’s an actual SAT© example of the fact that the odds are VERY GOOD that you will cross out the correct answer, on a harder question, right from the start.
There’s a sentence completion question from a recent SAT test that talks about “bank auditors neither speaking nor smiling”. The correct answer for the blank must mean “neither speaking nor smiling”. So you quickly cross out 2 answers, one of which is “glacial”. Now you’re at 1-in-3, so you might as well guess, because the three that remain are befuddling you. Guess what you just did? You crossed out the correct answer, “glacial”. You and most other students have said: “What the heck does a glacier have to do with this sentence?” You just made a supposition, or got an impression. Suppositions and impressions throw RANDOM right out the window. You think that you’re randomly guessing on the remaining 3 answers. You’re not. You just got snookered by the SAT.
Glacial: …of or pertaining to glaciers or ice sheets.
…icily unsympathetic or immovable: a glacial stare; glacial indifference. Just like the bank auditors.
Put yourself into the mind of the SAT test designer. The test designer’s job is to disguise the right answer, perhaps with words that you do not know, or to fool you into picking the wrong answer. The College Board© calls trap answers "distractors", intended to distract you from the correct answer. “Glacial” is one of these distractors. You need to think like the test designer, and learn how to recognize these distractors, these traps. On the toughest SAT questions, less than 15% percent of students get the correct answer. The rest are guessing. Guessers get distracted by trap answers. Trap answers throw random guessing out the window.
Even if you don't eliminate the wrong answer, you’re not really selecting an SAT answer randomly. You’re not throwing darts. You’re operating on impressions, even though those impressions may be wrong. This is not random at all, and the entire guessing theory rests on random selection. If you don't guess randomly, the whole theory falls apart. (Ask your Math or Statistics teacher.)
Omitting an SAT answer-not Guessing-actually gains you points!
You don't get extra credit for answering a difficult question. If you can't answer a difficult question with a high degree of CERTAINTY, then don't answer the question. OMIT it.
The first step in proving this claim is to review how the SAT Reasoning test is scored. Remember…
A raw score is calculated.
One point is added for each multiple-choice question answered correctly.
¼ point is subtracted for each incorrect.
No points are subtracted for incorrect answers to the mathematics grid-ins.
No points are subtracted for omitted questions.
And here’s where it gets nasty. A nastiness that everyone should talk talk about with their students:
The total of 1/4 penalty points for each wrong answer is subtracted from the points answered correctly. If the resulting score is a fraction, it is rounded to the nearest whole number—less than 1/2 is rounded down;1/2 or more is rounded up. Wait ‘til you see what this means for your score!
Before we prove that Omitting can actually gain you points on the SAT©, we need to address a common misconception about the test:
A common misconception is that the SAT given in a particular month (say, October) is easier-or harder- than another test in a different month. You’ve probably heard something like this from your friends: “Don’t take the March test…it’s a killer!” While it is true that one test can be harder than another -humans, after all, people design the test-, would it be fair that you took a test which was harder than the test your buddy took? And worse, that you scored lower because your test was harder? No, that wouldn’t be fair, but here’s what makes every SAT test as fair as every other SAT test-
The SAT is SCALED.
This scale is designed to correct for minor variations in the difficulty of the test. If the test you take is indeed a harder test, compared to an average SAT, you will get a higher score than if you had taken an easier test and gotten the same number of correct answers. The raw score is converted to the College Board 200-800 scaled score by a statistical process called equating. Equating adjusts for slight differences in difficulty between test editions, and ensures that a student's score of 550 on one edition of a test reflects the same ability as a score of 550 on another edition of the test. To see more, try this link from the College Board:
http://professionals.collegeboard.com/testing/sat-reasoning/scores/reports
The PIC below will show you how the scale works, and how knowledge of the scale will allow you to see the logic behind omitting.
The SAT© subtracts a quarter of a raw point for every wrong answer-every correct answer results in one whole raw point. These wrong answer deductions are called penalty points and are designed to counteract RANDOM guessing. If you guess randomly on a selection of questions with 5 possible answers, statistical probability states that you will be correct 1/5th of the time and incorrect 4/5ths of the time. So, according to the GUESSING strategy, your guessing shouldn’t affect your score. e.g., A correct answer = 1 point for correct, and 4 incorrect answers = +1 -1[4X-1/4]=0. A wash, NO? So, if you can get a little lucky, why not guess? You may come out ahead.
The problem with this approach is that it relies on probability and randomness in order to work. But no rational test taker chooses an SAT answer randomly–a test taker chooses an answer based upon ideas or feelings about the question. Therefore, the entire notion of relying on probability is flawed, because probability relies on random selection.
The guessing strategy seems great in theory. If you can eliminate two incorrect answer choices and then guess randomly, you should end up gaining points. But no one does this. No one guesses randomly.
A student guessing on an SAT© test is not a true random guesser, and The College Board© knows it.
Here's what the College Board folks do:
First of all, the SAT questions are designed so that you will lose control of the question. How much gobbledygook is there in an SAT question, especially Reading questions? How often has the following test scenario happened to you?...
You read a passage, then the first question. Then you go back to the passage, looking for the right answer. Then back to the answers, back to the passage, back to the answers…and so on. Do you know what’s happened to you?
You’ve lost control of the question! You probably never had control of the question!
So if you don't understand the question well enough to answer it, the odds are VERY good that you will cross out the correct answer right from the start. Now your chance of being correct drops to zero. Random is gone.
Funny, NO? Read on…
Here’s an actual SAT© example of the fact that the odds are VERY GOOD that you will cross out the correct answer, on a harder question, right from the start.
There’s a sentence completion question from a recent SAT test that talks about “bank auditors neither speaking nor smiling”. The correct answer for the blank must mean “neither speaking nor smiling”. So you quickly cross out 2 answers, one of which is “glacial”. Now you’re at 1-in-3, so you might as well guess, because the three that remain are befuddling you. Guess what you just did? You crossed out the correct answer, “glacial”. You and most other students have said: “What the heck does a glacier have to do with this sentence?” You just made a supposition, or got an impression. Suppositions and impressions throw RANDOM right out the window. You think that you’re randomly guessing on the remaining 3 answers. You’re not. You just got snookered by the SAT.
Glacial: …of or pertaining to glaciers or ice sheets.
…icily unsympathetic or immovable: a glacial stare; glacial indifference. Just like the bank auditors.
Put yourself into the mind of the SAT test designer. The test designer’s job is to disguise the right answer, perhaps with words that you do not know, or to fool you into picking the wrong answer. The College Board© calls trap answers "distractors", intended to distract you from the correct answer. “Glacial” is one of these distractors. You need to think like the test designer, and learn how to recognize these distractors, these traps. On the toughest SAT questions, less than 15% percent of students get the correct answer. The rest are guessing. Guessers get distracted by trap answers. Trap answers throw random guessing out the window.
Even if you don't eliminate the wrong answer, you’re not really selecting an SAT answer randomly. You’re not throwing darts. You’re operating on impressions, even though those impressions may be wrong. This is not random at all, and the entire guessing theory rests on random selection. If you don't guess randomly, the whole theory falls apart. (Ask your Math or Statistics teacher.)
Omitting an SAT answer-not Guessing-actually gains you points!
You don't get extra credit for answering a difficult question. If you can't answer a difficult question with a high degree of CERTAINTY, then don't answer the question. OMIT it.
The first step in proving this claim is to review how the SAT Reasoning test is scored. Remember…
A raw score is calculated.
One point is added for each multiple-choice question answered correctly.
¼ point is subtracted for each incorrect.
No points are subtracted for incorrect answers to the mathematics grid-ins.
No points are subtracted for omitted questions.
And here’s where it gets nasty. A nastiness that everyone should talk talk about with their students:
The total of 1/4 penalty points for each wrong answer is subtracted from the points answered correctly. If the resulting score is a fraction, it is rounded to the nearest whole number—less than 1/2 is rounded down;1/2 or more is rounded up. Wait ‘til you see what this means for your score!
Before we prove that Omitting can actually gain you points on the SAT©, we need to address a common misconception about the test:
A common misconception is that the SAT given in a particular month (say, October) is easier-or harder- than another test in a different month. You’ve probably heard something like this from your friends: “Don’t take the March test…it’s a killer!” While it is true that one test can be harder than another -humans, after all, people design the test-, would it be fair that you took a test which was harder than the test your buddy took? And worse, that you scored lower because your test was harder? No, that wouldn’t be fair, but here’s what makes every SAT test as fair as every other SAT test-
The SAT is SCALED.
This scale is designed to correct for minor variations in the difficulty of the test. If the test you take is indeed a harder test, compared to an average SAT, you will get a higher score than if you had taken an easier test and gotten the same number of correct answers. The raw score is converted to the College Board 200-800 scaled score by a statistical process called equating. Equating adjusts for slight differences in difficulty between test editions, and ensures that a student's score of 550 on one edition of a test reflects the same ability as a score of 550 on another edition of the test. To see more, try this link from the College Board:
http://professionals.collegeboard.com/testing/sat-reasoning/scores/reports
The PIC below will show you how the scale works, and how knowledge of the scale will allow you to see the logic behind omitting.