Suppose that you take an exam with 391 possible points and are told that that me

Question

Suppose that you take an exam with 391 possible points and are told that that mean score is 275 and that the standard deviation is 21. You are also told that you got 356. Did you do well on the exam? Explain your answer. Determine the z-score and interpret this score A score of 356 has a z-score of This is standard deviations the mean for this exam. The 99.7% of the observations lie within | standard deviations of the mean. Since this score is | states that approximately V the mean, this is a Vstandard deviations v score. (Round to two decimal places as needed.)

Explanation / Answer

We know, z-score = (X - u)/s

Where X is the score obtained in the exam,

u is the mean score = 275

s is the standard deviation = 21

Thus, for X = 356, z-score = (356 - 275)/21 = 3.86

A score of 356 has a z-score of 3.86. This is 3.86 standard deviations away(right) from the mean for this exam. The empirical rule states that approximately 99.7% of the observations lie within 3 stamdsta deviations of the mean. Since this score is 3.86 standard deviations right of the mean, this is a good score.

Yes, the score implies that the performance is quite well.

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