the ages (in years) of a random sample of shoppers at a gaming store are shown. determine the range, mean, variance, and standard deviation of the sample data set.

12, 21, 23, 14, 16, 18, 19, 17, 13, 16

the range is .
(simplify your answer.)

Question

the ages (in years) of a random sample of shoppers at a gaming store are shown. determine the range, mean, variance, and standard deviation of the sample data set.

12, 21, 23, 14, 16, 18, 19, 17, 13, 16

the range is  .
(simplify your answer.)

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": [ "Range Calculation" ], "new_concepts": [], "current_concepts": [ "Range Calculation", "Mean Calculation", "Sample Standard Deviation", "Measures of Variation" ] } ## Identify the dataset and target We are given a sample dataset of ages: $$ 12, 21, 23, 14, 16, 18, 19, 17, 13, 16 $$ The target is to find the range of this sample dataset. ## Find the maximum and minimum values Using the *Range Calculation* knowledge point $$ \begin{aligned} &\text{Sorted data: } 12, 13, 14, 16, 16, 17, 18, 19, 21, 23\ &\text{Maximum value } (x_{\text{max}}) = 23\ &\text{Minimum value } (x_{\text{min}}) = 12 \end{aligned} $$ ## Calculate the range Using the *Range Calculation* knowledge point $$ \begin{aligned} \text{Range} &= x_{\text{max}} - x_{\text{min}} \ &= 23 - 12 \ &= 11 \end{aligned} $$ The range is 11. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Range Calculation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the dataset and target

Find the maximum and minimum values

Calculate the range

Answer: