1. **State the problem:** We are given a box-and-whisker plot showing the mass of parcels in kilograms. We need to find:
(a) The mass of the heaviest parcel.
(b) The interquartile range (IQR).
2. **Recall definitions:**
- The heaviest parcel corresponds to the maximum value shown by the whisker on the right.
- The interquartile range is the difference between the upper quartile (Q3) and the lower quartile (Q1).
3. **Identify values from the plot:**
- Minimum: about 1.4 kg
- Lower quartile (Q1): about 1.85 kg
- Median: about 2.15 kg
- Upper quartile (Q3): about 2.45 kg
- Maximum: about 3.3 kg
4. **Find the mass of the heaviest parcel:**
The maximum value is approximately $$3.3\text{ kg}$$.
5. **Calculate the interquartile range:**
$$\text{IQR} = Q3 - Q1 = 2.45 - 1.85 = 0.6\text{ kg}$$
**Final answers:**
(a) The mass of the heaviest parcel is **3.3 kg**.
(b) The interquartile range is **0.6 kg**.
Box Whisker Mass Dca7C7
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