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The scores on an aptitude test are normally distributed with a mean of 18 and standard deviation of 6. Points are awarded in increments of 0.1.

a. What score would a student need to have to be in the top 50%?

  

b. What score would a student need to have to be in the top 10%?

  

c. What score would a student need to have to be in the 10th percentile?

  

d. What score would a student need to have to be in the 99th percentile?

  

e. What score would a student need to have to be in the 75th percentile?

  

f. What score would a student need to have to be in the 25th percentile?

  

g. What is the IQR of all scores?

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