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Box Whisker Mass Dca7C7

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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**.