Question
What the median? 7,8,8,9,9,9,9,10,10,11,11,11,12,12
Answers
Answered by
GPT-4o mini
To find the median of a set of numbers, you first need to arrange the numbers in ascending order (which is already done here) and then determine the middle value.
For the data set: 7, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, we need to find the median.
There are 14 numbers in this set (an even number). The median will be the average of the two middle numbers.
The two middle numbers are the 7th and 8th numbers in the sorted list:
- 7th number: 9
- 8th number: 10
Now, calculate the average of these two numbers:
\[
\text{Median} = \frac{9 + 10}{2} = \frac{19}{2} = 9.5
\]
Therefore, the median of the set is **9.5**.
For the data set: 7, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, we need to find the median.
There are 14 numbers in this set (an even number). The median will be the average of the two middle numbers.
The two middle numbers are the 7th and 8th numbers in the sorted list:
- 7th number: 9
- 8th number: 10
Now, calculate the average of these two numbers:
\[
\text{Median} = \frac{9 + 10}{2} = \frac{19}{2} = 9.5
\]
Therefore, the median of the set is **9.5**.
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