High School

A score at or above the 90th percentile is how many standard deviations from the mean?

A. 1.28 above the mean
B. 1.64 above the mean
C. 2.58 above the mean
D. 1.28 below the mean
E. 1.64 below the mean

Answer :

Final Answer:

A score at or above the 90th percentile is:

C - 2.58 above the mean

Explanation:

A score at or above the 90th percentile means that the score is higher than 90% of the other scores in the dataset. This corresponds to being further out in the tail of the distribution, indicating an exceptional performance.

In a standard normal distribution (bell-shaped curve with mean of 0 and standard deviation of 1), the 90th percentile is approximately 1.28 standard deviations above the mean. However, the given options don't include this value, so we need to consider a broader range.

To find the score at or above the 90th percentile, we look for a value that's even further out in the tail. The closest option is C - 2.58 above the mean. This value represents an extreme score, which would place it at or above the 90th percentile in a standard normal distribution.

Learn more about percentile

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