Answer:
154.3
Explanation:
You want to know the score needed to be in the top 10% if scores are normally distributed with a mean of 130 and a standard deviation of 19.
Inverse normal
The inverse normal function gives you the z-value corresponding to a given area under the standard normal curve. A suitable calculator can scale that according to the mean and standard deviation you have.
The calculator display shown in the attachment puts the cutoff for the top 10% at a score of 154.3.
The minimum score needed is 154.3.
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Additional comment
The above score is rounded down to the nearest 10th. That means a score of 154.3 will not actually be in the top 10%. Rather, it will be in the top 10.046%. The minimum score that will actually be in the top 10% would be 154.4.
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