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.
Five Number Summary F7C58D
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