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Scores on the SAT form a normal distribution with a mean of 1100 and a standard...

Scores on the SAT form a normal distribution with a mean of 1100 and a standard deviation of 150.

Find the range of values that defines the middle 10% of the distribution of SAT scores.

Please show step by step on how to solve this.

Math   Statistics-And-Probability   
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Answer #1

Consider, X=Scores on the SAT

middle 10% means (100-10)% = 90% divided into two tails(left and right tail)

90%/2 = 45% into left tail

Z=-0.13..............................................by using =NORMSINV(0.45) or by using Excel command for left tail.

Z=0.13...........................................by using =NORMSINV(1-0.45) or by using Excel command for right tail.

and

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