question 18 points 1

in a normal distribution, what percent of items in the distribution lies within one standard deviation of the mean?

68.26%
27.63%

Question

question 18 points 1

in a normal distribution, what percent of items in the distribution lies within one standard deviation of the mean?

68.26%
27.63%

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Normal Distribution Properties", "Empirical Rule" ], "new_concepts": [], "current_concepts": [ "Normal Distribution Properties", "Empirical Rule" ] } ## Identify the target interval Using the *Normal Distribution Properties* knowledge point $$ P(\mu - \sigma \le X \le \mu + \sigma) $$ ## Apply the empirical rule Using the *Empirical Rule* knowledge point $$ P(\mu - \sigma \le X \le \mu + \sigma) \approx 0.6826 = 68.26\% $$

(A) 68.26%

(B) 27.63%

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QUESTION IMAGE

Question

Explanation:

Identify the target interval

Apply the empirical rule

Answer: