Suppose your SAT score is 2230. You look up the average SAT scores for

students admitted to your preferred colleges and find the list of scores below.

Based on your SAT score of 2230, which average score below represents the

college that would be your best option?

O A. 2210

B. 1550

O C. 1350

O D. 1790

C. 1350

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Your best option?

You want the higher z-score for yourself, which means that your grade is in a higher percentile and you are more likely to be accepted.

Assuming they all have the same standard deviations, your best option is in the college with the lowest average score, which is

So the correct answer is:

C. 1350

final answer is : )

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