Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Click to view page 1 of the table. Click to view page 2 of the table.
The indicated IQ score, $x$, is ( Round to one decimal place as needed.)
Answer
Therefore, the z-score for an IQ of 115 is \(\boxed{1.0}\). This means that an IQ of 115 is 1 standard deviation above the mean.
Step 1 ：Given that the mean (μ) is 100, the standard deviation (σ) is 15, and the IQ score (x) is 115, we can calculate the z-score using the formula z = (x - μ) / σ.
Step 2 ：Substitute the given values into the formula to get z = (115 - 100) / 15.
Step 3 ：Simplify the expression to get z = 15 / 15.
Step 4 ：Therefore, the z-score for an IQ of 115 is \(\boxed{1.0}\). This means that an IQ of 115 is 1 standard deviation above the mean.
