1. **Problem:** Find the interquartile range (IQR) of the number of viewers over 9 days: 50, 42, 66, 120, 48, 170, 110, 40, 35.
2. **Step 1: Sort the data in ascending order:**
$$35, 40, 42, 48, 50, 66, 110, 120, 170$$
3. **Step 2: Identify quartiles:**
- Median (Q2) is the middle value since there are 9 data points: 5th value = 50.
- Lower half (below median): $$35, 40, 42, 48$$
- Upper half (above median): $$66, 110, 120, 170$$
4. **Step 3: Find Q1 (median of lower half):**
Since 4 values, median is average of 2nd and 3rd values:
$$Q1 = \frac{40 + 42}{2} = \frac{82}{2} = 41$$
5. **Step 4: Find Q3 (median of upper half):**
Median of $$66, 110, 120, 170$$ is average of 2nd and 3rd values:
$$Q3 = \frac{110 + 120}{2} = \frac{230}{2} = 115$$
6. **Step 5: Calculate interquartile range (IQR):**
$$IQR = Q3 - Q1 = 115 - 41 = 74$$
**Final answer:** The interquartile range is **74**.
Answer choice: D) 74
Interquartile Range 561Fa9
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