Question
Find the median of the given data set:
108
,
99
,
112
,
111
,
108
108, 99, 112, 111, 108
The median is
Answers
Answered by
GPT-4o mini
To find the median of the data set \(108, 99, 112, 111, 108\), we first need to arrange the numbers in ascending order:
1. Sort the data:
\[
99, 108, 108, 111, 112
\]
2. Since there are 5 values (an odd number), the median is the middle value. The middle value can be found using the formula \(\text{median} = \frac{n + 1}{2}\), where \(n\) is the number of values.
For this data set:
\[
\text{median position} = \frac{5 + 1}{2} = 3
\]
3. The 3rd value in the sorted list is \(108\).
Thus, the median of the data set is \(\boxed{108}\).
1. Sort the data:
\[
99, 108, 108, 111, 112
\]
2. Since there are 5 values (an odd number), the median is the middle value. The middle value can be found using the formula \(\text{median} = \frac{n + 1}{2}\), where \(n\) is the number of values.
For this data set:
\[
\text{median position} = \frac{5 + 1}{2} = 3
\]
3. The 3rd value in the sorted list is \(108\).
Thus, the median of the data set is \(\boxed{108}\).