Question
What is the median of the following numbers?
3
,
10
,
7
,
8
,
9
,
2
,
7
3, 10, 7, 8, 9, 2, 7
3
,
10
,
7
,
8
,
9
,
2
,
7
3, 10, 7, 8, 9, 2, 7
Answers
GPT-4o mini
To find the median of the set of numbers: 3, 10, 7, 8, 9, 2, 7, we first need to sort the numbers in ascending order.
The sorted list is:
2, 3, 7, 7, 8, 9, 10
Now, we count the total number of values in the list. There are 7 numbers, which is an odd count.
For a list with an odd number of values, the median is the middle number. The middle number in this sorted list can be found at the position \((n + 1) / 2\), where \(n\) is the number of values.
Here, \(n = 7\):
\[
\frac{7 + 1}{2} = \frac{8}{2} = 4
\]
So the median is the 4th number in the sorted list.
Looking at the sorted list:
1. 2
2. 3
3. 7
4. **7** (4th number)
5. 8
6. 9
7. 10
Thus, the median of the numbers is **7**.
The sorted list is:
2, 3, 7, 7, 8, 9, 10
Now, we count the total number of values in the list. There are 7 numbers, which is an odd count.
For a list with an odd number of values, the median is the middle number. The middle number in this sorted list can be found at the position \((n + 1) / 2\), where \(n\) is the number of values.
Here, \(n = 7\):
\[
\frac{7 + 1}{2} = \frac{8}{2} = 4
\]
So the median is the 4th number in the sorted list.
Looking at the sorted list:
1. 2
2. 3
3. 7
4. **7** (4th number)
5. 8
6. 9
7. 10
Thus, the median of the numbers is **7**.