the midpoints a, b, and c are marked on the histogram. match them to the indicated scores. which scores, if any, would be considered unusual?

the point a corresponds with z = -2.14
the point b corresponds with z = 0
the point c corresponds with z = 1.43

which scores, if any, would be considered unusual?

a. 1.43
b. -2.14
c. 0
d. none

Question

the midpoints a, b, and c are marked on the histogram. match them to the indicated scores. which scores, if any, would be considered unusual?

the point a corresponds with z = -2.14
the point b corresponds with z = 0
the point c corresponds with z = 1.43

which scores, if any, would be considered unusual?

a. 1.43
b. -2.14
c. 0
d. none

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 Interpretation", "Normal Distribution Outliers" ], "new_concepts": [], "current_concepts": [ "Z-Score Interpretation", "Normal Distribution Outliers", "Histogram Interpretation" ] } ## Identify the given z-scores and points Using the *Z-Score Interpretation* knowledge point $$ \begin{aligned} &\text{Point } A \text{ is at score } 48 \implies z = -2.14\ &\text{Point } B \text{ is at score } 63 \implies z = 0\ &\text{Point } C \text{ is at score } 73 \implies z = 1.43 \end{aligned} $$ ## Determine unusual scores Using the *Normal Distribution Outliers* knowledge point $$ \begin{aligned} &|z| > 2 \implies \text{unusual score}\ &|-2.14| = 2.14 > 2 \implies z = -2.14 \text{ is unusual}\ &|0| = 0 \le 2 \implies z = 0 \text{ is typical}\ &|1.43| = 1.43 \le 2 \implies z = 1.43 \text{ is typical} \end{aligned} $$

A. 1.43

B. -2.14

C. 0

D. None

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

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QUESTION IMAGE

Question

Explanation:

Identify the given z-scores and points

Determine unusual scores

Answer: