A standardized exam\'s scores are normally distributed. In a recent year, the me

Question

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.4 and the standard deviation was 5.5. The test scores of four students selected at random are 16, 23, 8, and 37. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 16 is . The z-score for 23 is . The z-score for 8 is . The z-score for 37 is . Which values, if any, are unusual Select the correct choice below and, if necessary, fill in the answer box within your choice. The unusual value(s) is/are O. None of the values are unusual.

Explanation / Answer

Mean = 21.4

SD = 5.5

Note : Z- score = ( marks obtained - mean ) / SD

All the Z-scores are within the 3 SD deviations of the mean.

Hence, none of the values seem unusual.

Hope this helps.

Mean 21.4 SD 5.5 Marks Z-score 16 -0.98182 23 0.290909 8 -2.43636 37 2.836364

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