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Difficulty: 555-605 Level,   Tables,               
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Re: The table displays nutrition data per 240 mL serving for selected cook [#permalink]
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1. The median amount of protein for all uncooked vegetables listed is 13 the median amount of protein for all cooked vegetables listed.
The amount of protein for all uncooked vegetables = 1,1,1,1,3. The median = 1.
The amount of protein for all cooked vegetables = 2,2,2,3,3,3,5,5,5,5. Median = (3+3)/2 = 3.

The median amount of protein for all uncooked vegetables listed is 1/3rd the median amount of protein for all cooked vegetables listed.

Answer Yes.

2. 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.

The amount of carbohydrate per serving of cooked corn= 32.
the amount of carbohydrate per serving for the other 14 vegetable options = 1,3,3,5,5,7,8,8,8,10,10,11,16,17.
Median = (8+8)/2 = 8.
Its 4 times.

Answer No.

3.Each serving listed for which total fiber is less than 3.0 g also has at most 10 g of carbohydrate.

Servings listed for which total fiber is less than 3.0 g are: Asparagus, Broccoli, Mustard Greens, Pak Choi, Spinach, Summer Squash(both types), Sweet green pepper.
Now the serving that has the at most 10 gm of carbohydrate => <=10, which includes 8 of the 8 servings.

Answer Yes.
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Re: The table displays nutrition data per 240 mL serving for selected cook [#permalink]
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Hello
for second question, when I sort table by carbohydrate , the 7th and 8th vegetables are Asparagus & Summer squash, and their value are 5 & 5!
Would you pls explain how you got cooked summer squash and cooked asparagus, 8 & 8??



Sajjad1994 wrote:
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.
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Re: The table displays nutrition data per 240 mL serving for selected cook [#permalink]
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nazii wrote:
Hello
for second question, when I sort table by carbohydrate , the 7th and 8th vegetables are Asparagus & Summer squash, and their value are 5 & 5!
Would you pls explain how you got cooked summer squash and cooked asparagus, 8 & 8??



Sajjad1994 wrote:
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.


I did not see 8 & 8 either. The question might have been inadvertently modified (to be inaccurate).
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Re: The table displays nutrition data per 240 mL serving for selected cook [#permalink]
nazii wrote:
Hello
for second question, when I sort table by carbohydrate , the 7th and 8th vegetables are Asparagus & Summer squash, and their value are 5 & 5!
Would you pls explain how you got cooked summer squash and cooked asparagus, 8 & 8??



Sajjad1994 wrote:
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.


­You are right. It's 5 and 5.
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Re: The table displays nutrition data per 240 mL serving for selected cook [#permalink]
Quick way to look at the second one,

its mentioned its exactly 3 times. And 32 is not a multiple of 3. Hence NO
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Re: The table displays nutrition data per 240 mL serving for selected cook [#permalink]
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