Subjects statistics

Five Number Summary F7C58D

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to identify the 5-number summary from the given boxplot data and calculate the Inter-Quartile Range (IQR). 2. The 5-number summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values. 3. From the boxplot data provided: - Minimum = 9 - Q1 = 13 - Median = 16 - Q3 = 18 - Maximum = 19 4. The formula for the Inter-Quartile Range (IQR) is: $$\text{IQR} = Q3 - Q1$$ 5. Substitute the values: $$\text{IQR} = 18 - 13$$ 6. Calculate the difference: $$\text{IQR} = 5$$ 7. Therefore, the 5-number summary is (9, 13, 16, 18, 19) and the IQR is 5.