Question
4
Fill in the Blank 1 point
The median of 13, 14, 17, 18, 21, 23, 26, 28 is
Previous
choose your answer...
choose your answer...
20
19.5
21
18
Fill in the Blank 1 point
The median of 13, 14, 17, 18, 21, 23, 26, 28 is
Previous
choose your answer...
choose your answer...
20
19.5
21
18
Answers
GPT-4o mini
To find the median of the data set 13, 14, 17, 18, 21, 23, 26, 28, we first need to arrange the values in ascending order, which they already are:
13, 14, 17, 18, 21, 23, 26, 28
Since there are 8 numbers in this data set (an even count), the median is calculated as the average of the two middle numbers. The two middle numbers in this case are the 4th and 5th values:
4th value: 18
5th value: 21
Now, we calculate the average:
\[
\text{Median} = \frac{18 + 21}{2} = \frac{39}{2} = 19.5
\]
Thus, the median of the dataset is **19.5**.
13, 14, 17, 18, 21, 23, 26, 28
Since there are 8 numbers in this data set (an even count), the median is calculated as the average of the two middle numbers. The two middle numbers in this case are the 4th and 5th values:
4th value: 18
5th value: 21
Now, we calculate the average:
\[
\text{Median} = \frac{18 + 21}{2} = \frac{39}{2} = 19.5
\]
Thus, the median of the dataset is **19.5**.