OE
If m represents the mean of the distribution and s represents the standard deviation, then the statement “the measurement 12.1 is 1.5 standard deviations below the mean” can be represented by the equation 12.1 = m - 1.5s. Similarly, the statement “the measurement 17.5 is 3.0 standard deviations above the mean” can be represented by the equation 17.5 = m + 3.0s.
One way to solve the two linear equations for m is to eliminate the s. To do this, you can multiply the equation 12.1 = m - 1.5s by 2 and then add the result to the equation 17.5 = m + 3.0s to get 41.7 = 3m. Solving this equation for m gives the mean 13.9. Tus the correct answer is Choice B.