1. **State the problem:** Vector wants to know what conclusion he can report about the energy produced by pure cow manure biomass versus cow manure mixed with mashed bananas, based on balloon circumference measurements. 2. **Data given:** - Pure Cow Manure Biomass (cm): 10, 11, 13, 13, 14, 15, 15, 15, 18, 18, 19, 20, 22, 25, 26 - Cow Manure + Mashed Bananas Biomass (cm): 22, 22, 26, 29, 30, 31, 36, 36, 38, 39, 43, 46, 46, 49, 50 3. **Use measures of center and variability:** We compare medians and interquartile ranges (IQR) from the box plots or data. 4. **Calculate median for Pure Cow Manure:** - Sorted data has 15 values, median is the 8th value. - Median = 15 cm 5. **Calculate median for Cow Manure + Bananas:** - Sorted data has 15 values, median is the 8th value. - Median = 36 cm 6. **Interpretation:** The median circumference for the mixture with bananas (36 cm) is much larger than for pure manure (15 cm), indicating more energy produced on average. 7. **Check overlap of data ranges:** The maximum of pure manure is 26 cm, the minimum of the mixture is 22 cm, so there is some overlap but mostly the mixture values are higher. 8. **Conclusion:** About 75% of the time (based on box plot quartiles), the mixture of cow manure and mashed bananas is likely to produce more biogas than pure cow manure on this local farm. **Final answer:** Vector can report that about 75% of the time, the mixture of cow manure and mashed bananas IS LIKELY to produce MORE biogas than pure cow manure on THIS local farm.