determine the mean, median, mode and midrange of the set of data.

54, 47, 34, 45, 55, 42, 58

the mean is 45. (round to the nearest tenth as needed.)

Question

determine the mean, median, mode and midrange of the set of data.

54, 47, 34, 45, 55, 42, 58

the mean is 45. (round to the nearest tenth as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Arithmetic Mean", "Median Calculation", "Mode Identification", "Midrange Calculation" ], "new_concepts": [], "current_concepts": [ "Arithmetic Mean", "Median Calculation", "Mode Identification", "Midrange Calculation" ] } ## Calculate the arithmetic mean $$ \begin{aligned} \text{Sum} &= 54 + 47 + 34 + 45 + 55 + 42 + 58 = 335 \ n &= 7 \ \text{Mean} &= \frac{335}{7} \approx 47.857 \approx 47.9 \end{aligned} $$ ## Determine the median and mode $$ \begin{aligned} &\text{Ordered data: } 34, 42, 45, 47, 54, 55, 58 \ &\text{Median (4th value): } 47 \ &\text{Mode: } \text{None (all values occur exactly once)} \end{aligned} $$ ## Calculate the midrange $$ \begin{aligned} \text{Midrange} &= \frac{\text{Minimum} + \text{Maximum}}{2} \ &= \frac{34 + 58}{2} \ &= 46 \end{aligned} $$ Determine the mean, median, mode and midrange of the set of data. $54, 47, 34, 45, 55, 42, 58$ The mean is 47.9. (Round to the nearest tenth as needed.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Measures of Central Tendency" ] }

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Question

Explanation:

Calculate the arithmetic mean

Determine the median and mode

Calculate the midrange

Answer: