find the indicated iq score. the graph to the right depicts iq scores of adults, and those scores are…

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 the nearest whole number as needed.)

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 the nearest whole number as needed.)

Answer

Explanation:

Step1: Find the z - score

We know that the area to the left of the value (x) is (0.55). Looking up this area in the standard normal distribution table (z - table), the corresponding z - score (z) is approximately (z = 0.13).

Step2: Use the z - score formula

The z - score formula is (z=\frac{x-\mu}{\sigma}), where (\mu = 100) (mean), (\sigma = 15) (standard deviation), and (z = 0.13). We want to solve for (x). Rearranging the formula gives (x=\mu+z\sigma). Substitute (\mu = 100), (z = 0.13), and (\sigma = 15) into the formula: (x=100 + 0.13\times15).

Step3: Calculate the value of (x)

First, calculate (0.13\times15=1.95). Then (x=100 + 1.95=101.95). Rounding to the nearest whole number, (x\approx102).

Answer:

102