On a test with a mean of 200 and a SD of 50 what raw score w

On a test with a mean of 200 and a SD of 50, what raw score would fall at the 86th percentile?

Solution

Mean is given as 200 and sd =50

86th percentile z value = 1.08

Corresponding x value would be

Mean + 1.08 sigma

= 200+1.08(50)

= 200+54

= 254

254 is the 86th percentile