Find Q2
1. **State the problem:** We are given a list of daily expenses and asked to find the second quartile (Q2), which is the median of the data.
2. **Recall the formula and rules:**
- The second quartile (Q2) is the median, which divides the data into two equal halves.
- To find the median, first sort the data in ascending order.
- If the number of data points $n$ is odd, median is the middle value at position $\frac{n+1}{2}$.
- If $n$ is even, median is the average of the two middle values at positions $\frac{n}{2}$ and $\frac{n}{2}+1$.
3. **Sort the data:**
$[153, 156, 176, 178, 181, 182, 194, 206, 232, 233, 236, 243, 257, 262, 270, 272, 275, 281, 298, 305, 311, 317, 348, 347, 366, 369, 418, 422, 434, 447, 449, 457, 462, 475, 482, 484, 490]$
4. **Count the data points:**
There are $n=37$ data points (odd).
5. **Find the median position:**
$$\frac{n+1}{2} = \frac{37+1}{2} = 19$$
6. **Find the median value:**
The 19th value in the sorted list is $298$.
7. **Conclusion:**
The second quartile (Q2) or median of the daily expenses is **298**.