Math Problem Statement
If we have the data:
5, 8, 15, 7, 10, 22, 3, 1, 15, 2
What is the median?
Solution
To find the median, we need to follow these steps:
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Arrange the data in ascending order:
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Determine the number of data points: There are 10 values in total, which is an even number.
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Find the median:
- For an even number of data points, the median is the average of the two middle numbers.
- The middle numbers are the 5th and 6th values: 7 and 8.
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Calculate the average of the two middle values:
Therefore, the median is 7.5.
Would you like further details or clarification?
Here are some related questions you might find useful:
- How do you find the mode of this dataset?
- What is the range of this dataset?
- Can we calculate the mean of this dataset?
- How does the median differ from the mean?
- How do outliers affect the median?
Tip: The median is more resistant to outliers than the mean!
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Math Problem Analysis
Mathematical Concepts
Statistics
Median
Data Analysis
Formulas
Median for even number of data points: (n/2)th term + ((n/2) + 1)th term / 2
Theorems
Median theorem for even datasets
Suitable Grade Level
Grades 6-8
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Find the Median of Data Set: 5, 8, 15, 7, 10, 22, 3, 1, 15, 2
How to Find the Median of the Numbers: 5, 8, 15, 7, 10, 22, 3, 1, 15, 2
Median Calculation for the Dataset [31, 18, 24, 24, 20, 18, 22, 29]