1. **State the problem:** We want to compare the melting times of milk chocolate and dark chocolate based on the given data and box plots. 2. **Data given:** - Milk Chocolate melting times (seconds): 29, 33, 39, 44, 45, 55, 62, 64, 73, 78, 80, 83, 94, 99, 129 - Dark Chocolate melting times (seconds): 210, 215, 222, 237, 238, 240, 240, 259, 264, 276, 288, 295, 302, 317, 320 3. **Understanding box plots and quartiles:** - The median (middle value) divides the data into two halves. - The first quartile (Q1) is the median of the lower half (25th percentile). - The third quartile (Q3) is the median of the upper half (75th percentile). - About 25% of data lies below Q1, 50% below the median, and 75% below Q3. 4. **Calculate quartiles for Milk Chocolate:** Sorted data: 29, 33, 39, 44, 45, 55, 62, 64, 73, 78, 80, 83, 94, 99, 129 - Median (8th value): 64 - Lower half: 29, 33, 39, 44, 45, 55, 62 Q1 = median of lower half = 44 - Upper half: 73, 78, 80, 83, 94, 99, 129 Q3 = median of upper half = 94 5. **Calculate quartiles for Dark Chocolate:** Sorted data: 210, 215, 222, 237, 238, 240, 240, 259, 264, 276, 288, 295, 302, 317, 320 - Median (8th value): 259 - Lower half: 210, 215, 222, 237, 238, 240, 240 Q1 = median of lower half = 237 - Upper half: 264, 276, 288, 295, 302, 317, 320 Q3 = median of upper half = 295 6. **Interpretation:** - After 64 seconds (median of milk chocolate), about half of milk chocolate brands have melted, but since 64 is less than the minimum dark chocolate melting time (210), none of the dark chocolate brands have melted. - After 259 seconds (median of dark chocolate), none of the milk chocolate brands are likely to melt (since max milk chocolate melting time is 129), but about half of the dark chocolate brands have melted (since 259 is the median). 7. **Conclusion:** - The statement "After 64 seconds, ABOUT HALF of the brands of milk chocolate ARE LIKELY to melt, and NONE of the brands of dark chocolate ARE LIKELY to melt." is most likely true. **Final answer:** After 64 seconds, about half of the milk chocolate brands have melted, and none of the dark chocolate brands have melted yet.