find individual values in normal distributions

use the information given in the table on the right to complete each of the following statements.

brenda is 50 inches tall. her z-score is

| age | mean | standard deviation |
| :--- | :--- | :--- |
| 7 years | 49 inches | 2 inches |

Question

find individual values in normal distributions

use the information given in the table on the right to complete each of the following statements.

brenda is 50 inches tall. her z-score is

| age | mean | standard deviation |
| :--- | :--- | :--- |
| 7 years | 49 inches | 2 inches |

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", "Normal Distribution" ] } ## Identify the given parameters Using the *Z-Score Formula* knowledge point $$ \begin{aligned} x &= 50 \ \mu &= 49 \ \sigma &= 2 \end{aligned} $$ ## Calculate the z-score Using the *Z-Score Formula* knowledge point $$ \begin{aligned} z &= \frac{x - \mu}{\sigma} \ z &= \frac{50 - 49}{2} \ z &= 0.5 \end{aligned} $$ Brenda is 50 inches tall. Her z-score is 0.5 { "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: