In a population of exam scores, a score of x=48 corresponds to z=+1.00 and a score of x=36 corresponds to z=-0.05. Find the mean and standard deviation for the population.
hint. Sketch the distribution and locate the two scores on your sketch.

Step-by-step explanation:

We have been given that in a population of exam scores, a score of x=48 corresponds to z=+1.00 and a score of x=36 corresponds to z=-0.05.

To find the values of mean and standard deviation, we will use z-score formula as:

Let us solve for x (sample score).

Upon substituting our given values, we will get two equations as:

Upon substituting equation (1) in equation (2), we will get:

Therefore, the mean of the given data would be approximately 36.57.

Upon substituting in equation (1), we will get:

Therefore, the standard deviation for the given data would be approximately 11.43.

center= (-2,0)

radius= sqrt2/2

step-by-step explanation: