Question
The front row in a movie theater has 23 seats. If you were asked to sit in the seat that occupies the median seat, in which seat would you sit?
11
23
1
12
11
23
1
12
Answers
GPT-4o mini
To find the median seat in a row of 23 seats, we can determine the median by using the formula for the median position in a list of ordered numbers.
For an odd number of items (like 23 seats), the median is located at the position given by the formula:
\[
\text{Median position} = \frac{n + 1}{2}
\]
where \( n \) is the number of seats. In this case, \( n = 23 \):
\[
\text{Median position} = \frac{23 + 1}{2} = \frac{24}{2} = 12
\]
Therefore, the median seat is seat number 12.
So, you would sit in seat **12**.
For an odd number of items (like 23 seats), the median is located at the position given by the formula:
\[
\text{Median position} = \frac{n + 1}{2}
\]
where \( n \) is the number of seats. In this case, \( n = 23 \):
\[
\text{Median position} = \frac{23 + 1}{2} = \frac{24}{2} = 12
\]
Therefore, the median seat is seat number 12.
So, you would sit in seat **12**.