In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the z-score corresponding to a score of 54.

Use the z-score formula: z = (score − mean) ÷ standard deviation. Substituting the values gives z = (54 − 40) ÷ 3 = 14 ÷ 3 ≈ 4.67. The correct choice is 4.67.

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