rainforest data:

mean = 7 \quad \sigma^2 = 12.405 \quad \sigma \approx 3.522

when using the formula $z_x = \frac{x - \mu}{\sigma}$ for the z-score for the 11.7 data point:

$x = 11.7$
$\mu = 7$

$z_{11.7} \approx$

Question

rainforest data:

mean = 7 \quad \sigma^2 = 12.405 \quad \sigma \approx 3.522

when using the formula $z_x = \frac{x - \mu}{\sigma}$ for the z-score for the 11.7 data point:

$x = 11.7$
$\mu = 7$

$z_{11.7} \approx$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Z-Score Formula" ], "new_concepts": [], "current_concepts": [ "Z-Score Formula", "Population Mean Symbol", "Population Standard Deviation" ] } ## Identify the given parameters Using the *Z-Score Formula* knowledge point $$ \begin{aligned} x &= 11.7 \ \mu &= 7 \ \sigma &\approx 3.522 \end{aligned} $$ ## Calculate the z-score Using the *Z-Score Formula* knowledge point $$ \begin{aligned} z_{11.7} &= \frac{x - \mu}{\sigma} \ z_{11.7} &= \frac{11.7 - 7}{3.522} \ z_{11.7} &= \frac{4.7}{3.522} \ z_{11.7} &\approx 1.334 \end{aligned} $$ When using the formula $z_x = \frac{x - \mu}{\sigma}$ for the z-score for the 11.7 data point: $x = 11.7$ $\mu = 7$ $z_{11.7} \approx$ 1.33 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Z-Score Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given parameters

Calculate the z-score

Answer: