find the median of the weights below:

16 kg, 18 kg, 19 kg, 9 kg, 15 kg, 9 kg

Question

find the median of the weights below:

16 kg, 18 kg, 19 kg, 9 kg, 15 kg, 9 kg

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Median of a Data Set", "Finding the Median" ], "new_concepts": [], "current_concepts": [ "Median of a Data Set", "Finding the Median" ] } ## Order the data set from least to greatest $$ 9\text{ kg}, \quad 9\text{ kg}, \quad 15\text{ kg}, \quad 16\text{ kg}, \quad 18\text{ kg}, \quad 19\text{ kg} $$ ## Identify the middle values $$ \begin{aligned} &n = 6 \quad (\text{even number of values})\ &\text{Middle values are at positions } \frac{n}{2} = 3 \text{ and } \frac{n}{2} + 1 = 4\ &\text{Values: } 15\text{ kg} \text{ and } 16\text{ kg} \end{aligned} $$ ## Calculate the mean of the two middle values $$ \text{Median} = \frac{15 + 16}{2} = 15.5\text{ kg} $$ $15.5\text{ kg}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Statistics", "Finding the Median" ] }

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Question

Explanation:

Order the data set from least to greatest

Identify the middle values

Calculate the mean of the two middle values

Answer: