Which score has the highest relative position: a score of 38 on a test with a mean of 30 and a standard deviation of 10, a score of 4.2 on a test with a mean of and a standard deviation of or a score of 432 on a test with a mean of and a standard deviation of (Assume that the distributions being compared have approximately the same shape.)

A score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has the highest relative position.

Step-by-step explanation:

Which score has the highest relative position: a score of 38 on a test with a mean of 30 and a standard deviation of 10, a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 or a score of 432 on a test with a mean of 396 and a standard deviation of 40.

In order to find the solution, we need to calculate the z score value for each test.

The z score formula: where  is the score, μ is the mean and s is the standard deviation.

Now for test 1:

Put in the above formula.

For test 2:

Put in the above formula.

For test 3:

Put in the above formula.

Since the z score value of test 2 is greater so a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has a highest relative position.

8y^50

step-by-step explanation:

the answer is the third / last answer

step-by-step explanation: