jordan is 53 inches tall. what is his z-score?
jake is 44 inches tall. what is his z-score?
jacob is 49 inches tall. what is his z-score?
what is the height of a student whose z-score is 3?

55\
53\
47\
43\

Question

jordan is 53 inches tall. what is his z-score?
jake is 44 inches tall. what is his z-score?
jacob is 49 inches tall. what is his z-score?
what is the height of a student whose z-score is 3?

55\
53\
47\
43\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Z-Score Formula" ], "new_concepts": [], "current_concepts": [ "Z-Score Formula" ] } ## Identify the given parameters Using the *Z-Score Formula* knowledge point $$ \begin{aligned} &\mu = 49\ &\sigma = 2\ &z = 3 \end{aligned} $$ ## Solve for the height $x$ Using the *Z-Score Formula* knowledge point $$ \begin{aligned} &z = \frac{x - \mu}{\sigma}\ &3 = \frac{x - 49}{2}\ &6 = x - 49\ &x = 55 \end{aligned} $$

(A) 55"

(B) 53"

(C) 47"

(D) 43"

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Z-Score Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given parameters

Solve for the height \(x\)

Answer: