A state administered standardized reading exam is given to e

A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students statewide have a normal distribution with a mean of 508 and a standard deviation of 65. A local Junior High principal has decided to give an award to any student who scores in the top 10% of statewide scores.

How high should a student score be to win this award?

Give your answer to the nearest integer.

Solution

A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students statewide have a normal distribution with a mean of 508 and a standard deviation of 65. A local Junior High principal has decided to give an award to any student who scores in the top 10% of statewide scores.

How high should a student score be to win this award?

Give your answer to the nearest integer.

Z score for top 10% = 1.282

X score = 508+1.282*65 =591.33

X score rounded =591

A student should score above 591 to win this award.