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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Z-Score Calculation" ], "new_concepts": [], "current_concepts": [ "Z-Score Calculation", "Z-Score Interpretation", "Normal Distribution Outliers" ] } ## Identify given values and formula Using the *Z-Score Calculation* knowledge point $$ \begin{aligned} &\mu = 28.7\ &\sigma = 3.4\ &x = 34\ &z = \frac{x - \mu}{\sigma} \end{aligned} $$ ## Calculate the z-score Using the *Z-Score Calculation* knowledge point $$ \begin{aligned} &z = \frac{34 - 28.7}{3.4}\ &z = \frac{5.3}{3.4}\ &z \approx 1.5588\ &z \approx 1.56 \end{aligned} $$ Transform the age to a z-score. $z =$ $1.56$ (Type an integer or decimal rounded to two decimal places as needed.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Z-Score Calculation" ] }

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Identify given values and formula

Calculate the z-score

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