Whittaker Henry
07/13/2023 · Senior High School
Frise 15.3 Find the lower quartile, \( Q_{1} \), the upper quartile, \( Q_{3} \), and data sets: Note: You should first rank the data. \( \begin{array}{ll}\text { (i) }\{2,5,7,3,3,2,8\} & \text { (ii) } \\ \text { (ii) }\{5,8,6,4,5,3,4,12\} & \text { (iv) }\{8,7,8,7,6,5,6,5,4,3,4,3\} \\ \text { Leaf }\end{array} \)
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**Summary of Quartiles for Each Data Set:**
1. **Data Set (i):**
- Sorted Data: 2, 2, 3, 3, 5, 7, 8
- Lower Quartile (\( Q_{1} \)): 2
- Upper Quartile (\( Q_{3} \)): 7
2. **Data Set (ii):**
- Sorted Data: 3, 4, 4, 5, 5, 6, 8, 12
- Lower Quartile (\( Q_{1} \)): 4
- Upper Quartile (\( Q_{3} \)): 7
3. **Data Set (iv):**
- Sorted Data: 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8
- Lower Quartile (\( Q_{1} \)): 4
- Upper Quartile (\( Q_{3} \)): 7
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