Math Problem Statement
If we have the data:
5, 8, 15, 7, 10, 22, 3, 1, 15
What is the median?
Solution
To find the median, follow these steps:
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Arrange the data in ascending order:
1, 3, 5, 7, 8, 10, 15, 15, 22
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Count the total number of data points:
There are 9 numbers. -
Identify the middle number:
Since the number of data points is odd, the median is the middle number in the sorted list.
The middle number is the 5th number. -
Locate the 5th number in the ordered list:
The 5th number is 8.
Thus, the median is 8.
Do you have any questions or need further details?
Here are 5 related questions:
- How do we find the median if the data set has an even number of elements?
- What is the difference between mean and median?
- How does the presence of outliers affect the median?
- Can the median be a decimal?
- How can we compute the mode of a data set?
Tip: The median is less affected by extreme values (outliers) than the mean, making it a better measure of central tendency for skewed data.
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Median
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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