Math Problem Statement
find median of 1,2,3,4,5,6,7
Solution
To find the median of the data set :
-
Arrange the data in ascending order:
The data is already arranged as . -
Count the number of data points:
There are data points, which is odd. -
Find the middle value:
Since the total count is odd, the median is the value at position , where :
The fourth value is .
Median:
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Related Questions:
- What is the median of ?
- How do you calculate the median for an even number of data points?
- What is the mode and how does it differ from the median?
- Can the median ever be a decimal in a data set of integers?
- How do you find the median for a grouped frequency distribution?
Tip:
Always arrange data in ascending order before calculating the median!
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Median
Formulas
Median for odd-sized data set: Position = (n + 1) / 2, where n is the number of data points
Theorems
Median theorem for ordered data
Suitable Grade Level
Grades 5-7