Question
The data set shows the number of hours students spent studying during one week.
1
,
1
,
1
,
2
,
3
,
4
,
5
,
6
,
a
n
d
8
1,1,1,2,3,4,5,6, and 8
Find the median of the above data.
Answer:
Answers
GPT-4o mini
To find the median of the given data set, we first need to arrange the numbers in ascending order:
1, 1, 1, 2, 3, 4, 5, 6, 8
Next, we count the number of values in the data set. There are 9 values.
Since 9 is an odd number, the median is the middle number in the sorted list. The middle position can be found using the formula:
\[
\text{Median position} = \frac{n + 1}{2}
\]
where \( n \) is the number of values.
For our data:
\[
\text{Median position} = \frac{9 + 1}{2} = \frac{10}{2} = 5
\]
The 5th number in the sorted list (1, 1, 1, 2, 3, 4, 5, 6, 8) is 3.
Thus, the median is:
**Answer: 3**
1, 1, 1, 2, 3, 4, 5, 6, 8
Next, we count the number of values in the data set. There are 9 values.
Since 9 is an odd number, the median is the middle number in the sorted list. The middle position can be found using the formula:
\[
\text{Median position} = \frac{n + 1}{2}
\]
where \( n \) is the number of values.
For our data:
\[
\text{Median position} = \frac{9 + 1}{2} = \frac{10}{2} = 5
\]
The 5th number in the sorted list (1, 1, 1, 2, 3, 4, 5, 6, 8) is 3.
Thus, the median is:
**Answer: 3**