activity - mean, median, and mode

activity

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

Question

activity - mean, median, and mode

activity

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 $$ \begin{aligned} \text{Data: } & 11, 54, 67, 87, 34, 11, 45, 30 \ \text{Sum: } & 11 + 54 + 67 + 87 + 34 + 11 + 45 + 30 = 339 \ \text{Count: } & 8 \ \text{Mean: } & \frac{339}{8} = 42.375 \end{aligned} $$ ## Calculate the mean of the second dataset Using the *Arithmetic Mean* knowledge point $$ \begin{aligned} \text{Data: } & 32, 26, 28, 32, 21, 24, 30, 18 \ \text{Sum: } & 32 + 26 + 28 + 32 + 21 + 24 + 30 + 18 = 211 \ \text{Count: } & 8 \ \text{Mean: } & \frac{211}{8} = 26.375 \end{aligned} $$ ## Find the mode of the third dataset Using the *Mode of Data* knowledge point $$ \begin{aligned} \text{Data: } & 24, 26, 28, 18, 21, 32, 30, 32 \ \text{Frequencies: } & 18: 1,\ 21: 1,\ 24: 1,\ 26: 1,\ 28: 1,\ 30: 1,\ 32: 2 \ \text{Mode: } & 32 \end{aligned} $$ ## Find the mode of the fourth dataset Using the *Mode of Data* knowledge point $$ \begin{aligned} \text{Data: } & 67, 87, 34, 11, 45, 30, 11, 54 \ \text{Frequencies: } & 11: 2,\ 30: 1,\ 34: 1,\ 45: 1,\ 54: 1,\ 67: 1,\ 87: 1 \ \text{Mode: } & 11 \end{aligned} $$ ## Calculate the median of the fifth and sixth datasets Using the *Median of Data* knowledge point $$ \begin{aligned} \text{Dataset 5 Sorted: } & 11, 11, 30, 34, 45, 54, 67, 87 \ \text{Median 5: } & \frac{34 + 45}{2} = 39.5 \ \text{Dataset 6 Sorted: } & 18, 21, 24, 26, 28, 30, 32, 32 \ \text{Median 6: } & \frac{26 + 28}{2} = 27 \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 1 | Mean of data: 11, 54, 67, 87, 34, 11, 45, 30 | Mean = 42.375 | | 2 | Mean of data: 32, 26, 28, 32, 21, 24, 30, 18 | Mean = 26.375 | | 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", "Data Analysis" ] }

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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 dataset

Find the mode of the fourth dataset

Calculate the median of the fifth and sixth datasets

Answer:

No.	Problem	Answer
2	Mean of data: 32, 26, 28, 32, 21, 24, 30, 18	Mean = 26.375
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