there are 8 sophomores on the academic team. at the last competition, they each took the math test. their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. what was the median math score of the sophomores?

87%
92%
82%
79%

Question

there are 8 sophomores on the academic team. at the last competition, they each took the math test. their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. what was the median math score of the sophomores?

87%
92%
82%
79%

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Measures of Center" ], "new_concepts": [], "current_concepts": [ "Measures of Center", "Median Calculation" ] } ## Order the data set $$ 72\%, 74\%, 76\%, 78\%, 80\%, 82\%, 92\%, 92\% $$ ## Identify the middle values $$ \begin{aligned} &n = 8 \ &\text{Middle positions} = 4\text{th and } 5\text{th values} \ &x_4 = 78\%, \quad x_5 = 80\% \end{aligned} $$ ## Calculate the median $$ \text{Median} = \frac{78\% + 80\%}{2} = 79\% $$

(A) 87%

(B) 92%

(C) 82%

(D) 79%

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Measures of Center" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Order the data set

Identify the middle values

Calculate the median

Answer: