Apply the square root principle to solve (x - 2)2 + 20 = 0.
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Answer:
A. 16th
Step-by-step explanation:
We have been given that on a normal distribution IQ test scores, with a mean of 100 and a standard deviation of 15 points. We are asked to find the percentile for a score of 85.
We will use z-score formula and normal distribution table to answer our given problem.
, where,
z = Z-score,
x = Sample score,
= Mean,
= Standard deviation.
Upon substituting our given values in z-score formula, we will get:
Now, we need to find area under a normal curve that corresponds to z-score of that is
.
Using normal distribution table, we will get:
Let us convert 0.15866 into percentage as:
Therefore, a score of 85 places you approximately in 16th percentile of the population.