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 (Zz) = 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