Math Problem Statement
Solution
To help you calculate the median number of days of homework, let's walk through the steps.
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Organize the data in ascending order: We need to first collect all the numbers from the table and sort them.
Here are the numbers from the table:
3, 1, 7, 5, 6, 6, 2, 6, 3, 2, 4, 6, 3, 6, 5, 4, 3, 3, 4, 3, 4, 4, 7, 2, 1, 2, 7, 1, 3, 5, 1, 3, 1, 6, 3, 1, 6, 3, 1, 6, 5, 5, 6, 6, 1, 2, 3, 2, 1, 3, 5, 3, 1, 1, 1, 1, 1, 1, 3, 4
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Sort the data: After sorting the data in ascending order:
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7
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Identify the median: Since there are 60 values, the median is the average of the 30th and 31st values.
- The 30th value is 4.
- The 31st value is also 4.
Therefore, the median is:
Thus, the median number of days of homework is 4.00.
Let me know if you'd like any more details or clarifications!
Here are five related questions to expand on the topic:
- How do you calculate the mode for this dataset?
- What is the range of the number of homework days?
- How would you compute the variance or standard deviation for this dataset?
- How does the median differ from the mean in terms of data analysis?
- Could you calculate the quartiles for this dataset?
Tip: When calculating medians, always sort the data first and identify the middle position based on whether you have an odd or even number of data points.
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean
Median
Formulas
Mean = (sum of all data points) / (number of data points)
Median = middle value of sorted data set
Theorems
Median Theorem
Arithmetic Mean Theorem
Suitable Grade Level
Grades 9-12
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