Question

Which is a better relative position, a score of 83 on a geography test that has a mean of

72 and a standard deviation of 6. or a score of 61 on an accounting test that has a mean of 55 and a
standard deviation of 3.5?

Answer 1

i dont kknow

Step-by-step explanation:

Answer 2

After calculating the z-scores for both tests, the geography test score of 83 has a higher z-score of 1.83, compared to the z-score of 1.71 for the accounting test score of 61. Thus, the geography test score is relatively better.

Step-by-step explanation:

To determine which score is relatively better, we need to calculate the z-scores for each test result, which indicates how many standard deviations a data point is from the mean.

For the geography test, the z-score is calculated as follows:

Z = (Score - Mean) / Standard Deviation

Z = (83 - 72) / 6

Z = 11 / 6

Z = 1.83

For the accounting test, the z-score is:

Z = (Score - Mean) / Standard Deviation

Z = (61 - 55) / 3.5

Z = 6 / 3.5

Z = 1.71

The geography test score has a higher z-score, meaning it is further from the mean in terms of standard deviations compared to the accounting test score. Therefore, the score of 83 on the geography test is relatively better than the score of 61 on the accounting test.