What is the median of the set {3, 5, 7, 9, 11}?

To find the median of a set of numbers, the data must be organized in ascending order, which, in this case, is already presented as {3, 5, 7, 9, 11}. The median is defined as the middle number in a sorted list of values.

Since there are five numbers in this set, which is an odd count, the median will be the number located at the center position. To determine the position of the median, you can use the formula:

[

\text{Median position} = \frac{n+1}{2}

]

where ( n ) is the number of values in the set. Substituting in the value for ( n ):

[

\text{Median position} = \frac{5 + 1}{2} = 3

]

This indicates that the median is the third number in the ordered list. Looking at the set, the first number is 3, the second is 5, and the third is 7. Therefore, the median of the set {3, 5, 7, 9, 11} is clearly 7. This is the value that divides the set into two equal halves,