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14 May 2020, 00:35
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The median amount of protein for all uncooked vegetables listed is 1/3 the median amount of protein for all cooked vegetables listed.: Yes
The amount of carbohydrate per serving of cooked corn is exactly 3 times the median amount of carbohydrate per serving for the other 14 vegetable options listed.: No
Each serving listed for which total fiber is less than 3.0 g also has at most 10 g of carbohydrate.: Yes
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The table displays nutrition data per 240 mL serving for selected cooked or uncooked vegetables: percent water, energy in kilocalories (kcal), protein, total fat, carbohydrate, and total fiber, in grams (g). Each serving consists of 240 mL of finely chopped, raw vegetables (uncooked) or 240 mL of thoroughly drained, steamed vegetables (cooked).
For each of the following statements, select Yes if the statement is true based on the information provided; otherwise select No.
| Vegetable | Cooked (yes/no) | Percent water | Energy (kcal) | Protein (g) | Total fat (g) | Carbohydrate (g) | Total fiber (g) |
|---|---|---|---|---|---|---|---|
| Asparagus | yes | 92 | 43 | 5 | 1 | 8 | 2.9 |
| Beets | yes | 87 | 75 | 3 | trace | 17 | 3.4 |
| Broccoli | yes | 91 | 44 | 5 | 1 | 8 | 4.5 |
| Broccoli | no | 91 | 25 | 3 | trace | 5 | 2.6 |
| Carrots | yes | 87 | 70 | 2 | trace | 16 | 5.1 |
| Carrots | no | 88 | 47 | 1 | trace | 11 | 3.3 |
| Corn | yes | 77 | 131 | 5 | 1 | 32 | 3.9 |
| Green beans | yes | 89 | 44 | 2 | trace | 10 | 4 |
| Mustard greens | yes | 94 | 21 | 3 | trace | 3 | 2.8 |
| Pak choi | yes | 96 | 20 | 3 | trace | 3 | 2.7 |
| Spinach | yes | 91 | 41 | 5 | trace | 7 | 4.3 |
| Spinach | no | 92 | 7 | 1 | trace | 1 | 0.8 |
| Summer squash | yes | 94 | 36 | 2 | 1 | 8 | 2.5 |
| Summer squash | no | 94 | 23 | 1 | trace | 5 | 2.1 |
| Sweet green pepper | no | 92 | 40 | 1 | trace | 10 | 2.7 |
For each of the following statements, select Yes if the statement is true based on the information provided; otherwise select No.
ID: 100397
| Yes | No | |
| The median amount of protein for all uncooked vegetables listed is 1/3 the median amount of protein for all cooked vegetables listed. | ||
| The amount of carbohydrate per serving of cooked corn is exactly 3 times the median amount of carbohydrate per serving for the other 14 vegetable options listed. | ||
| Each serving listed for which total fiber is less than 3.0 g also has at most 10 g of carbohydrate. |
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Official Answer
The median amount of protein for all uncooked vegetables listed is 1/3 the median amount of protein for all cooked vegetables listed.: Yes
The amount of carbohydrate per serving of cooked corn is exactly 3 times the median amount of carbohydrate per serving for the other 14 vegetable options listed.: No
Each serving listed for which total fiber is less than 3.0 g also has at most 10 g of carbohydrate.: Yes
26 Apr 2021, 04:02
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Official Explanation
The median amount of protein for all uncooked vegetables listed is 13 the median amount of protein for all cooked vegetables listed.
Sorting the table on Cooked (yes/no) reveals that there are 5 uncooked vegetables listed, 4 of which provide 1 g of protein and one of which provides 3 g of protein; furthermore, there are 10 cooked vegetables, 3 of which provide 2 g, 3 of which provide 3 g, and 4 of which provide 5 g of protein. When the numbers of grams of protein provided by the 5 uncooked vegetables are listed in order from least to greatest—1, 1, 1, 1, 3—the median number of grams of protein is given by the 3rd value in the list, 1. When the numbers of grams of protein provided by the 10 cooked vegetables are listed in order from least to greatest—2, 2, 2, 3, 3, 3, 5, 5, 5, 5—the median number of grams of protein is given by the arithmetic mean of the 5th and 6th values in the list, 12 (3 + 3), or 3. Therefore, the median amount of protein provided by the uncooked vegetables, 1 g, is equal to 13 (3 g), or 13 the median amount of protein provided by the cooked vegetables.
The correct answer is Yes.
The amount of carbohydrate per serving of cooked corn is exactly 3 times the median amount of carbohydrate per serving for the other 14 vegetable options listed.
Sorting on Carbohydrate (g) reveals that cooked corn provides the largest amount of carbohydrate of the vegetables listed, at 32 g. The median amount of carbohydrate for the other 14 vegetables listed is given by taking the arithmetic mean of the 7th and 8th values listed—that is, the arithmetic mean of the values for cooked summer squash and cooked asparagus, 12 (8 + 8) g, or 8 g. Since 32 = 4(8), the amount of carbohydrate per serving of cooked corn is exactly 4—not 3—times the median for the other 14 vegetable options listed.
The correct answer is No.
Each serving listed for which total fiber is less than 3.0 g also has at most 10 g of carbohydrate.
When the table is sorted on Total fiber (g), the first 8 vegetables listed are those having total fiber less than 3.0 g. Among these 8, uncooked sweet green pepper has the greatest amount of carbohydrate per serving, at 10 g. Hence none of these 8 vegetables has more than 10 g of carbohydrate per serving.
The correct answer is Yes.
The median amount of protein for all uncooked vegetables listed is 13 the median amount of protein for all cooked vegetables listed.
Sorting the table on Cooked (yes/no) reveals that there are 5 uncooked vegetables listed, 4 of which provide 1 g of protein and one of which provides 3 g of protein; furthermore, there are 10 cooked vegetables, 3 of which provide 2 g, 3 of which provide 3 g, and 4 of which provide 5 g of protein. When the numbers of grams of protein provided by the 5 uncooked vegetables are listed in order from least to greatest—1, 1, 1, 1, 3—the median number of grams of protein is given by the 3rd value in the list, 1. When the numbers of grams of protein provided by the 10 cooked vegetables are listed in order from least to greatest—2, 2, 2, 3, 3, 3, 5, 5, 5, 5—the median number of grams of protein is given by the arithmetic mean of the 5th and 6th values in the list, 12 (3 + 3), or 3. Therefore, the median amount of protein provided by the uncooked vegetables, 1 g, is equal to 13 (3 g), or 13 the median amount of protein provided by the cooked vegetables.
The correct answer is Yes.
The amount of carbohydrate per serving of cooked corn is exactly 3 times the median amount of carbohydrate per serving for the other 14 vegetable options listed.
Sorting on Carbohydrate (g) reveals that cooked corn provides the largest amount of carbohydrate of the vegetables listed, at 32 g. The median amount of carbohydrate for the other 14 vegetables listed is given by taking the arithmetic mean of the 7th and 8th values listed—that is, the arithmetic mean of the values for cooked summer squash and cooked asparagus, 12 (8 + 8) g, or 8 g. Since 32 = 4(8), the amount of carbohydrate per serving of cooked corn is exactly 4—not 3—times the median for the other 14 vegetable options listed.
The correct answer is No.
Each serving listed for which total fiber is less than 3.0 g also has at most 10 g of carbohydrate.
When the table is sorted on Total fiber (g), the first 8 vegetables listed are those having total fiber less than 3.0 g. Among these 8, uncooked sweet green pepper has the greatest amount of carbohydrate per serving, at 10 g. Hence none of these 8 vegetables has more than 10 g of carbohydrate per serving.
The correct answer is Yes.
General Discussion
14 May 2020, 13:10
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A)Yes,Protein for uncooked vegetables are :
1,1,1,1,3 so median is 1
And protein for cooked vegetables are:2,2,2,3,3,3,5,5,5,5 so the median here is 3+3/2= 3
So yes the median protein for uncooked is 1/3 of median protein of cooked
2)No,Here the carbohydrate for cooked corn is 32, while median carbohydrate for other 14 items is
1,3,3,5,5,7,8,8,8,10,10,11,16,17 so here the median is : 8+8/2= 8,so here the ratio is 4 times and not 3 times
3)Yes,by looking at the table we can clearly infer the for all total fiber with value<3.0 gm, the total carbohydrate value is <=10 gm
Posted from my mobile device
1,1,1,1,3 so median is 1
And protein for cooked vegetables are:2,2,2,3,3,3,5,5,5,5 so the median here is 3+3/2= 3
So yes the median protein for uncooked is 1/3 of median protein of cooked
2)No,Here the carbohydrate for cooked corn is 32, while median carbohydrate for other 14 items is
1,3,3,5,5,7,8,8,8,10,10,11,16,17 so here the median is : 8+8/2= 8,so here the ratio is 4 times and not 3 times
3)Yes,by looking at the table we can clearly infer the for all total fiber with value<3.0 gm, the total carbohydrate value is <=10 gm
Posted from my mobile device
