Assume that adults have IQ scores that are normally distributed with a mean of 96.296.2 and a standard deviation 20.520.5. Find the first quartile Upper Q 1Q1, which is the IQ score separating the bottom 25% from the top 75%.

The first quartile of the IQ scores of adults is 82.26.

Step-by-step explanation:

The first quartile is the value that is greater than 25% of the observations and less than 75% of the observation.

The formula to compute the first quartile (Q₁) of a Normal distribution is:

The mean and standard deviation of the IQ scores of adults are:

Compute the first quartile value as follows:

Thus, the first quartile of the IQ scores of adults is 82.26.

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm