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The table lists 13 varieties of edible oils by smoke point, recommended heat, typical package size, and typical price for that package.
Heating an oil above its
smoke point—the temperature at which the oil begins to smoke—can produce toxic fumes. To avoid this, different oils are recommended for use with different levels of heat:
- No heat: use at room temperature or below
- Low heat: use for baking
- Medium heat: use for sautéing
- High heat: use for frying
Features of 13 Edible Oils
| Oil | Refined? | Smoked point (C) | Recommeneded heat | Package size (mL) | Price package ($) |
| Coconut | no | 190 | high | 250 | 8 |
| Corn | yes | 210 | high | 1,000 | 6.5 |
| Flaxseed | no | 49 | no | 473 | 18 |
| Grape-seed | yes | 215 | high | 500 | 10.5 |
| Olive, extra-virgin | no | 163 | medium | 200 | 13 |
| Olive, light | yes | 225 | high | 750 | 12 |
| Peanut | yes | 232 | high | 475 | 9 |
| Pumpkin | no | 100 | low | 250 | 14.5 |
| Safflower | no | 100 | low | 250 | 20 |
| Sesame | no | 163 | medium | 500 | 14 |
| Sunflower | no | 100 | low | 500 | 6 |
| Sunflower | yes | 227 | high | 1,000 | 7 |
| Walnut | no | 49 | no | 500 | 9.5 |

A. InferSorting the table on the “Refined?” column, we quickly see that the smoke points of the refined oils range from 210°C to 232°C, while the smoke points of the unrefined oils range from 49°C to 190°C. The range of the smoke points of the refined oils is thus 22°C, while the range of the smoke points of the unrefined oils is thus 141°C.
The correct answer is No.B. InferSorting the table on the “Recommended heat” column, we find 6 oils for which the recommended heat is “high.” The median price per package for these oils is therefore the mean of the prices for the third and fourth oils, ranked according to price. These oils have prices of $8.00 and $9.00 per package. The median price per package for the high-heat oils is thus $8.50.
With the table sorted on the “Recommended heat” column, we find 2 oils for which the recommended heat is “medium,” with prices per package of $13.00 and $14.00. The median price per package for medium-heat oils is thus $13.50. With the result for the high-heat oils, we see that the median price per package for the high-heat oils is less than that for the medium-heat oils.
The correct answer is Yes.C. InferSorting the table on the “Refined?” column, we find 5 refined oils. The median package size for these oils is thus the package size of the third refined oil, with the oils ranked according to package size. The first of these oils has package size 475 mL, the second has package size 500 mL, and the third has package size 750 mL. The median package size for these oils is thus 750 mL.
With the table sorted on the “Refined?” column, we find 8 unrefined oils. The median package size for these oils is thus the mean of the middle 2 of the 8 package sizes among these oils. The least of these packages sizes is 200 mL. The 2nd, 3rd, and 4th package sizes are each 250 mL. The 5th package size, 473 mL, is the size after these 3. The middle 2 of the package sizes of the 8 unrefined oils are thus 250 mL and 473 mL. Because both of these values are less than 750 mL, we see immediately that the median package size for the unrefined oils—the mean of 250 mL and 473 mL—is less than the median of the package sizes for the refined oils.
The correct answer is Yes.
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