Math Problem Statement
Peter writes down the ages of 13 members of his family in order, starting with the youngest. He wants to find the median age. In what position in his list is the median value?
Solution
To determine the position of the median value in a list of 13 ordered ages, you can use the following formula for the position of the median:
Where is the total number of values in the list. In this case, , so:
The median value will be in the 7th position in the list of ages.
Would you like more details on how median works?
Here are 5 related questions:
- How would you find the median if the number of ages was even?
- What if Peter forgot to order the ages—how would you proceed?
- Why is the median a useful measure compared to the mean?
- How does the median change if more members are added to the list?
- Can you always find the median without knowing all the data values?
Tip: The median is particularly useful when data includes outliers, as it is not affected by extreme values.
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Math Problem Analysis
Mathematical Concepts
Median
Ordered Data
Statistics
Formulas
Position of the median = (n + 1) / 2
Theorems
Median Theorem (for odd numbers)
Suitable Grade Level
Grades 6-8