To find the median of the given data set \(42, 19, 46, 17, 8, 35, 26, 39, 29\), follow these steps:
- First, arrange the data in ascending order:
\(8, 17, 19, 26, 29, 35, 39, 42, 46\)
- Count the number of data points. There are 9 numbers in this data set.
- Since the number of data points (n) is odd, the median is the middle number in the sorted list. To find this, use the formula:
\(\frac{n+1}{2}\)
In this case, \(\frac{9+1}{2} = 5\). Thus, the 5th number in the ordered list is the median.
- Identify the median: The 5th number is 29.
Therefore, the median of the data set is 29.