To solve this Statistics problem (finding the median of the first 7 composite numbers), we must first correctly identify what composite numbers are, list the first seven, and then apply the median formula.
Composite Number: Has more than 2 factors.
First 7 composite numbers: 4, 6, 8, 9, 10, 12, 14.
Smallest composite number: 4.
Median formula for odd 'n': (n + 1)/2 th term.
A composite number is a positive integer that has more than two factors (it can be divided by 1, itself, and at least one other number). Note: 1 is neither prime nor composite. Prime numbers (2, 3, 5, 7) only have two factors.
Let's check the numbers starting from 1:
The first 7 composite numbers are: 4, 6, 8, 9, 10, 12, 14.
The median is the exact middle value of a sorted dataset. Our dataset is sorted in ascending order: 4, 6, 8, 9, 10, 12, 14
Since the number of observations (n) is 7 (an odd number), the formula for the median position is: (n + 1) / 2 Position = (7 + 1) / 2 = 8 / 2 = 4th term.
The 4th term in our list is 9.
Final Answer: The median is 9.
The first 7 composite numbers are 4, 6, 8, 9, 10, 12, and 14.
The median is 9. In the sorted list (4, 6, 8, 9, 10, 12, 14), 9 is the exact middle (4th) value.
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