activity - mean, median, and mode

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mean of data: 11, 54, 67, 87, 34, 11, 45, 30
mean of data: 32, 26, 28, 32, 21, 24, 30, 18
mode of data: 24, 26, 28, 18, 21, 32, 30, 32
mode of data: 67, 87, 34, 11, 45, 30, 11, 54
median of data: 87, 67, 54, 11, 45, 30, 11, 34
median of data: 32, 26, 18, 28, 21, 32, 30, 24

Question

activity - mean, median, and mode

drag and drop the correct answer.

mean of data: 11, 54, 67, 87, 34, 11, 45, 30
mean of data: 32, 26, 28, 32, 21, 24, 30, 18
mode of data: 24, 26, 28, 18, 21, 32, 30, 32
mode of data: 67, 87, 34, 11, 45, 30, 11, 54
median of data: 87, 67, 54, 11, 45, 30, 11, 34
median of data: 32, 26, 18, 28, 21, 32, 30, 24

Accepted Answer

{ "quality": "clear", "question_count": 6, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Arithmetic Mean", "Median of Data", "Mode of Data" ], "new_concepts": [], "current_concepts": [ "Arithmetic Mean", "Median of Data", "Mode of Data" ] } ## Calculate the mean of the first dataset Using the *Arithmetic Mean* knowledge point $$ \begin{aligned} \text{Data: } & 11, 54, 67, 87, 34, 11, 45, 30 \quad (n = 8) \ \text{Sum} = & 11 + 54 + 67 + 87 + 34 + 11 + 45 + 30 = 339 \ \text{Mean} = & \frac{339}{8} = 42.375 \approx 42.4 \end{aligned} $$ ## Calculate the mean of the second dataset Using the *Arithmetic Mean* knowledge point $$ \begin{aligned} \text{Data: } & 32, 26, 28, 32, 21, 24, 30, 18 \quad (n = 8) \ \text{Sum} = & 32 + 26 + 28 + 32 + 21 + 24 + 30 + 18 = 211 \ \text{Mean} = & \frac{211}{8} = 26.375 \approx 26.4 \end{aligned} $$ ## Find the mode of the third and fourth datasets Using the *Mode of Data* knowledge point $$ \begin{aligned} \text{Dataset 3: } & 24, 26, 28, 18, 21, 32, 30, 32 \ &\text{Value 32 appears twice; all others appear once. Mode} = 32 \ \text{Dataset 4: } & 67, 87, 34, 11, 45, 30, 11, 54 \ &\text{Value 11 appears twice; all others appear once. Mode} = 11 \end{aligned} $$ ## Find the median of the fifth dataset Using the *Median of Data* knowledge point $$ \begin{aligned} \text{Dataset 5: } & 87, 67, 54, 11, 45, 30, 11, 34 \quad (n = 8) \ \text{Sorted: } & 11, 11, 30, 34, 45, 54, 67, 87 \ \text{Median} = & \frac{34 + 45}{2} = 39.5 \end{aligned} $$ ## Find the median of the sixth dataset Using the *Median of Data* knowledge point $$ \begin{aligned} \text{Dataset 6: } & 32, 26, 18, 28, 21, 32, 30, 24 \quad (n = 8) \ \text{Sorted: } & 18, 21, 24, 26, 28, 30, 32, 32 \ \text{Median} = & \frac{26 + 28}{2} = 27 \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 1 | Mean of data: 11, 54, 67, 87, 34, 11, 45, 30 | Mean = 42.4 | | 2 | Mean of data: 32, 26, 28, 32, 21, 24, 30, 18 | Mean = 26.4 | | 3 | Mode of data: 24, 26, 28, 18, 21, 32, 30, 32 | Mode = 32 | | 4 | Mode of data: 67, 87, 34, 11, 45, 30, 11, 54 | Mode = 11 | | 5 | Median of data: 87, 67, 54, 11, 45, 30, 11, 34 | Median = 39.5 | | 6 | Median of data: 32, 26, 18, 28, 21, 32, 30, 24 | Median = 27 | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Statistics", "Arithmetic Mean" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the mean of the first dataset

Calculate the mean of the second dataset

Find the mode of the third and fourth datasets

Find the median of the fifth dataset

Find the median of the sixth dataset

Answer:

No.	Problem	Answer
2	Mean of data: 32, 26, 28, 32, 21, 24, 30, 18	Mean = 26.4
3	Mode of data: 24, 26, 28, 18, 21, 32, 30, 32	Mode = 32
4	Mode of data: 67, 87, 34, 11, 45, 30, 11, 54	Mode = 11
5	Median of data: 87, 67, 54, 11, 45, 30, 11, 34	Median = 39.5
6	Median of data: 32, 26, 18, 28, 21, 32, 30, 24	Median = 27