A food science laboratory analyzed a set of 10 packaged snacks, record

Question

A food science laboratory analyzed a set of 10 packaged snacks, recording several characteristics.  Calories  indicates the energy per serving,  Protein  is grams per serving,  Origin  refers to whether the snack was produced domestically, and  Organic  indicates whether the snack was certified organic.

Snack  
  Calories  
  Protein (g)  
  Domestic origin? (Yes/No)  
  Organic? (Yes/No)  
 
  Almond Crunch 
 220 
 6 
 Yes 
 Yes 
 
  Banana Chips 
 150 
 1 
 No 
 No 
 
  Carrot Crisps 
 180 
 3 
 Yes 
 Yes 
 
  Date Bites 
 210 
 2 
 No 
 Yes 
 
  Edamame Pack 
 120 
 11 
 Yes 
 No 
 
  Fig Bars 
 190 
 4 
 Yes 
 No 
 
  Granola Clusters 
 240 
 5 
 No 
 Yes 
 
  Hazelnut Squares 
 200 
 3 
 Yes 
 No 
 
  Inca Corn 
 170 
 2 
 No 
 Yes 
 
  Jackfruit Chips 
 160 
 1 
 Yes 
 No

For each of the following statements concerning the snacks in this sample, select  Yes  if the statement is supported by the information provided; otherwise, select  No.

Bunuel · Accepted Answer

• For the non-organic snacks, the mode protein value is 3 grams.

A mode is the most common value among the measurements. For the non-organic snacks the protein values are 1, 11, 4, 3, 1, and since 1 occurs twice while the others occur once, the mode is 1, not 3.

Answer:  No

•  For the domestically produced snacks, the median protein content is greater than 3 grams.

Domestic snacks: Almond Crunch (6), Carrot Crisps (3), Edamame Pack (11), Fig Bars (4), Hazelnut Squares (3), Jackfruit Chips (1). Ordered: 1, 3, 3, 4, 6, 11. The median is the average of the 3rd and 4th values, (3 + 4)/2 = 3.5, which is greater than 3.

Answer:  Yes

• More than  one-third of the snacks are both non-domestic and organic.

Non-domestic organic: Date Bites, Granola Clusters, Inca Corn (3 snacks). Out of 10 total, that’s 3/10, or less than one-third (0.333...).

Answer:  No

I29-104

doloresaut · Answer

No   The mode organic value for non organic snacks is 1 gm because that occurs twice.

Yes   For the domestically produced snacks, the median protein content is greater is 3.5 grams because 1,3,3,4,6,11 so average of 3 and 4 is 3.5

No   Exactly one-third of the snacks are both non-domestic and organic. 3 snacks out of 10 are non-domestic and organic, so it's a little less than 1/3rd.

Dereno · Answer

Question 1:   For the non-organic snacks, the mode protein value is 3 grams.

The non-organic snacks and their respective protein values are mentioned below: 
 
 Banana Chips,   Edamame Pack,   Fig Bars,   Hazelnut Squares,   Jackfruit Chips.

The protein values in grams are 1, 11, 4, 3 and 1 respectively.

The value that appears most frequently (the mode) is 1 gram. Hence ,  NO.

Question 2:  For the domestically produced snacks, the median protein content is greater than 3 grams.

The domestically produced snacks are :  Almond Crunch,   Carrot Crisps,   Edamame Pack,   Fig Bars,   Hazelnut Squares, and   Jackfruit Chips.

Their respective protein values are: 6, 3, 11, 4, 3 and 1 respectively.

After arranging in ascending order, the median value is (3+4)/2 = 3.5 grams.

3.5 grams is greater than 3 grams. Hence,  YES

Question 3:   Exactly one-third of the snacks are both non-domestic and organic.

The total number of snacks is 10.

The snacks that are both non-domestic and organic are: 
 
 Date Bites,   Granola Clusters and   Inca Corn.

Only 3 snacks qualify. 1/3 rd is 0.333. But, here it’s 3/10 = 0.3 which is less than 0.33. Hence,  NO

Souradeep17 · Answer

The answers Would 
No
Yes
No.

Mode is highest repeating number in this case protein. So for non organic we see 1gm is repeated twice. all other were once , Hence mode is 1

For second one domestically produced snack with protein content , if we arrange them in ascending order 
we see the order as 1,3,3,4,6,11. The median of this is (3+4)/2=3.5 , which is greater than 3

For 3rd one : there are total 10 snacks out of which 3 are non-domestica and organic. 3 out of 10 is not 1/3 hence the answer should be No

mayankkamal999 · Answer

1.
Protein values for Non organic snacks are: {1,3,4,11,1}
Mode is 1 not 3
Hence  NO

2.
 Protein content of domestically produced snacks {6,3,11,4,3,1} 
 In ascending order {1,3, 3,4 ,6,11} 
 Median = (3+4)/2 = 3.5 i.e. greater than 3 
 Hence  YES

3. 
 Snacks are both non-domestic and organic are Inca Corn, Granola Clusters and Date bites i.e 3 out of total 10 snacks 
 So, 3/10 =0.3 is not equal to 1/3=0.33 
 Hence  NO

HarshG7 · Answer

i immediately marked "no" for the third statement as soon as i stumbled upon "exactly one-third", recalling that there are total of 10 items and we cannot have an exact one-third of 10. is this reasoning dangerous ?

Bunuel · Answer

No, that’s good reasoning. I revised that option so the answer wouldn’t be too easy to spot:

• More than  one-third of the snacks are both non-domestic and organic.

Non-domestic organic: Date Bites, Granola Clusters, Inca Corn (3 snacks). Out of 10 total, that’s 3/10, or less than one-third (0.333...).

Answer:  No

A food science laboratory analyzed a set of 10 packaged snacks, record

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Snack	Calories	Protein (g)	Domestic origin? (Yes/No)	Organic? (Yes/No)
Almond Crunch	220	6	Yes	Yes
Banana Chips	150	1	No	No
Carrot Crisps	180	3	Yes	Yes
Date Bites	210	2	No	Yes
Edamame Pack	120	11	Yes	No
Fig Bars	190	4	Yes	No
Granola Clusters	240	5	No	Yes
Hazelnut Squares	200	3	Yes	No
Inca Corn	170	2	No	Yes
Jackfruit Chips	160	1	Yes	No

Yes	No
		For the non-organic snacks, the mode protein value is 3 grams.
		For the domestically produced snacks, the median protein content is greater than 3 grams.
		More than one-third of the snacks are both non-domestic and organic.

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A food science laboratory analyzed a set of 10 packaged snacks, record

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