If ashley is in the 85th percentile and the mean of her test scores is 80 with a standard deviation of 15, which of the following scores would ashley most likely get on a standardized test?

The 85th percentile is a probability of 0.85 and its location is shown in the bell curve below 

We need to look up on the z-table the value of z when P(Z<z) = 0.85 or P(Z>z) = 0.15

Value of z-score when p-value P(Z>z) = 0.15 is z = 1.0364

Next step is to use the formula of z-score to work out X
z-score = (X-μ) / σ
1.0364 = (X-80) / 15
1.0364 × 15 = X - 80
X = 15.546 + 80
X = 95.5

Most likely score that Ashley gets is 95.5