Question

using the given information about lsat scores in the united states ($mu = 150$, $sigma = 10$). follow the steps to answer the question to interpret the percentage of lsat test - takers who scored less than 153 by filling in the blanks below.

if someone took an lsat test and received a 153, what percentage of scores will be less than this?

step 4: report the answer.

the percentage of lsat scores that are less than 153, in a normal distribution with a $mu = 150$ ($sigma = 10$), is choose your answer...
61.79
38.21
97.50
2.50

Explanation:

Step1: Calculate the z - score

The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x = 153$, $\mu=150$, and $\sigma = 10$.
$z=\frac{153 - 150}{10}=\frac{3}{10}=0.3$

Step2: Find the percentage from the z - table

Looking up the z - score of 0.3 in the standard normal distribution table, the value corresponding to $z = 0.3$ is 0.6179 or 61.79%.

Answer:

61.79