In a data set of {3, 5, 7, 9, 11}, what is the median?

To find the median of a data set, you first need to arrange the numbers in order from least to greatest, which in this case is already done: {3, 5, 7, 9, 11}. The median is defined as the middle number of a data set when arranged in ascending order.

Since there are five numbers in this data set, which is an odd amount, the median is the number that is positioned at the center. To locate the median, you can count the positions: the first number is 3, the second number is 5, the third number is 7, the fourth is 9, and the fifth is 11. The third number, which is 7, is in the middle.

Thus, the median of the dataset {3, 5, 7, 9, 11} is 7.