1. **State the problem:** We are given a set of Pool temperatures and need to find the median and interquartile range (IQR). 2. **List the data:** Pool temperatures are 79, 80, 81, 81, 82, 82, 83, 83, 84, 84, 84, 85, 85, 85, 85. 3. **Sort the data:** The data is already sorted. 4. **Find the median:** The median is the middle value of the ordered data. - Number of data points $n=15$ (odd). - Median position is $\frac{n+1}{2} = \frac{15+1}{2} = 8$. - Median is the 8th value: $83$. 5. **Find the quartiles:** - Lower half (first 7 values): 79, 80, 81, 81, 82, 82, 83 - Upper half (last 7 values): 83, 84, 84, 84, 85, 85, 85 - Q1 (median of lower half): position $\frac{7+1}{2} = 4$ value is $81$. - Q3 (median of upper half): position $4$ value is $84$. 6. **Calculate interquartile range (IQR):** $$\text{IQR} = Q3 - Q1 = 84 - 81 = 3$$ 7. **Final answers:** - Median = 83 - Interquartile range = 3