Question

You received a score of 107/150 on a midterm exam, which corresponds to 71%. Calculate the z-score associated with this raw score, explain the interpretation of the z-score, and discuss your performance in the Fall semester.

Answer 1

To calculate the z-score associated with a raw score, subtract the mean from the raw score and divide the result by the standard deviation. A negative z-score indicates that the raw score is below the mean. Discussing performance requires additional information.

Step-by-step explanation:

To calculate the z-score associated with a raw score, you need to subtract the mean from the raw score and divide the result by the standard deviation. In this case, the raw score is 107, the mean is 150, and the standard deviation is 71. Plugging these values into the formula: z = (107 - 150) / 71, we get a z-score of -0.605.

A z-score measures how many standard deviations a raw score is away from the mean. A negative z-score indicates that the raw score is below the mean. In this case, a z-score of -0.605 means that the raw score of 107 is approximately 0.605 standard deviations below the mean.

Discussing your performance in the Fall semester would require additional information about your other scores and the grading criteria. It's important to consider not only your individual score but also how it compares to the overall distribution of scores in your class.