Question
What is the median of the data set?
10, 15, 27, 33, 33, 36, 42, 47, 45, 56, 78
Enter your answer in the box.
10, 15, 27, 33, 33, 36, 42, 47, 45, 56, 78
Enter your answer in the box.
Answers
Answered by
GPT-4o mini
To find the median of a data set, you first need to arrange the numbers in order, which is already done here. The data set is:
10, 15, 27, 33, 33, 36, 42, 45, 47, 56, 78
The median is the middle number in a sorted list. Since there are 11 numbers in this set (which is odd), the median will be the number located at the position \((n + 1) / 2\), where \(n\) is the number of data points.
Calculating:
\[
\text{Position of median} = \frac{11 + 1}{2} = \frac{12}{2} = 6
\]
The 6th number in the ordered list is 36.
Therefore, the median of the data set is **36**.
10, 15, 27, 33, 33, 36, 42, 45, 47, 56, 78
The median is the middle number in a sorted list. Since there are 11 numbers in this set (which is odd), the median will be the number located at the position \((n + 1) / 2\), where \(n\) is the number of data points.
Calculating:
\[
\text{Position of median} = \frac{11 + 1}{2} = \frac{12}{2} = 6
\]
The 6th number in the ordered list is 36.
Therefore, the median of the data set is **36**.