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QuestionStatistics
Sophia's IQ score is 85. She performed as well or better than __________ percent of her agemates.
A) 16
B) 36
C) 50
D) 85
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Answer
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Step 1:: Understand the problem
The problem provides Sophia's IQ score and asks for the percentage of her age-mates who scored below her level. To solve this problem, we need to first determine the z-score for Sophia's IQ and then use the standard normal table to find the corresponding percentage.
Step 2:: Determine the z-score
The formula for calculating the z-score is: We are not given the standard deviation, but assuming it's 15 (typical for IQ tests), we can calculate the z-score:
Step 3:: Find the percentage from the z-score
Now that we have the z-score, we can use the standard normal table to find the percentage of people who scored below Sophia's IQ. Looking up the z-score in the table, we find that the percentage is approximately 16%.
Step 4:: Compare the result with the answer choices
The answer choices are rounded to whole numbers, so we should compare our result to the closest option. In this case, the closest answer choice is A) 16.
Final Answer
Sophia performed as well or better than approximately 16% of her agemates.
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