Question

Adriana scores 610 on the math portion of her SAT'S. If the mean score is 580 with a standard deviation of 115,what percentile is Adriana's SAT score?a

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given details

`\mu=580,\sigma=115,score(x)=610`

STEP 2: Find the z-score

`\begin{gathered} z=(x-\mu)/(\sigma) \\ z=(610-580)/(115)=(30)/(115)=0.260869565 \end{gathered}`

STEP 3: Find the proportion