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Which of the following can be inferred from the data above?

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Which of the following can be inferred from the data above?  [#permalink]

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Which of the following statements can be inferred from the data above?

I. The Klein family's annual income more than doubled from 1985 to 1995.
II. The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995.
III. The Klein family's average (arithmetic mean) annual income for the period shown was greater than $40,000.

A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III

Hi
This is an GMAT Prep Question.Please let me know the correct answer and why it correct?
Moreover, why We cannot infer II from the data above?

Originally posted by vikrantgulia on 31 Dec 2013, 02:01.
Last edited by Bunuel on 14 Jul 2014, 03:16, edited 1 time in total.
Edited the question.
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 14 Jul 2014, 02:32
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dolphinitida wrote:
For III - Since the data is for 11 consecutive years, why can't you consider year 6 (1990) as the mean? If you do, the annual income appears to be right under $40,000.


What you are talking about is the median. Year 6 will give you the median income. The mean needn't lie at the middle value.
Say, for a set of numbers 4, 5, 5, 6, 7, 20, 22, mean will not be 6 (the middle value). Median will be 6 but mean will be much higher.

Another way to analyze statement III is this:

First 3 points are at most 15000 less than 40,000.
Next 4 points are almost 40,000 each.
The next point is at least 15,000 more than 40,000
The next 3 points are at least 20,000 more than 40,000.

So overall, the distance of the points higher than 40,000 is more than the distance of the points lower than 40,000. This is just your deviation concept applied visually.

For more on deviation, check: http://www.veritasprep.com/blog/2012/05 ... eviations/
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 31 Dec 2013, 04:36
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vikrantgulia wrote:
Hi
This is an GMAT Prep Question.Please let me know the correct answer and why it correct?
Moreover, why We cannot infer II from the data above?


Hi there,

The answer IMO is C : Statements I and III must be true according to the figure above

I- The klein family's annual income more than doubled from 1985 to 1995 :

True, In 1985 it was $25K while in 1995 it was more than $60K

II- The klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995

That is not true because the annual income increased by approximately $15K from 1985 to 1990 while it increased by approximately $20K from 1990 to 1995
Notice that these values are obtained by substracting the value of the annual income of the latter year from that of the former

III- The klein family's average (arithmetic mean) annual income for the period shown was greater than $ 40K.
Ok, lets see:
(25 + 25 + 25 + 35 + 35 + 40 + 40 + 55 + 60 + 60 +60) / 11 = 41,8 SO , that is true .
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 13 Jul 2014, 17:03
For III - Since the data is for 11 consecutive years, why can't you consider year 6 (1990) as the mean? If you do, the annual income appears to be right under $40,000.
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 02 May 2015, 07:45
this question require us to approximate.
not easy. but if you practice often, it would be easy
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 01 Oct 2015, 00:37
vikrantgulia wrote:
Attachment:
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Which of the following statements can be inferred from the data above?

I. The Klein family's annual income more than doubled from 1985 to 1995.
II. The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995.
III. The Klein family's average (arithmetic mean) annual income for the period shown was greater than $40,000.

A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III

Hi
This is an GMAT Prep Question.Please let me know the correct answer and why it correct?
Moreover, why We cannot infer II from the data above?


Bunuel, could you comment if this is an actual GMATPrep Quant question or an IR question?
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 01 Oct 2015, 16:36
Hi SamuelWitwicky,

Most Test Takers see 1 question in the Quant section that involves a complex-looking chart, graph or table; the prompt is usually more complex than an 'average' question and takes the better part of 3 minutes to solve. Thus, this type of question COULD show up in your Quant section (but you won't see many of them).

As complex as the prompt looks, very little actual math is required to solve it. Some general estimation and pattern-matching will get you the correct answer.

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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 01 Oct 2015, 19:04
EMPOWERgmatRichC wrote:
Hi SamuelWitwicky,

Most Test Takers see 1 question in the Quant section that involves a complex-looking chart, graph or table; the prompt is usually more complex than an 'average' question and takes the better part of 3 minutes to solve. Thus, this type of question COULD show up in your Quant section (but you won't see many of them).

As complex as the prompt looks, very little actual math is required to solve it. Some general estimation and pattern-matching will get you the correct answer.

GMAT assassins aren't born, they're made,
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Hey thanks for the reply. ok if that is so, i'd like to understand the wording of the question so that I don't make the same mistake again. The question stem states, which of the following can be inferred from the graph right?

I feel statement II can be inferred to be wrong from the graph.

And this is exactly how IR always asks the questions. Can the following be inferred? Yes or No.
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 01 Oct 2015, 19:32
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SamuelWitwicky wrote:
I feel statement II can be inferred to be wrong from the graph.

And this is exactly how IR always asks the questions. Can the following be inferred? Yes or No.


There is a difference:

Can you infer that: The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995.
If this is not true, you say that you cannot infer this from the graph. This is a statement and to be inferred, it needs to be true only.

On the other hand: Did the Klein family's annual income increase by a greater amount from 1985 to 1990 than from 1990 to 1995?
When it is a question, you can answer with a Yes or No. Both answers are acceptable. The only answer not acceptable is may be. (your basic DS principle)

This question is asking about a statement and whether you can infer that. If the statement is correct, only then you can infer it.
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 01 Oct 2015, 19:50
VeritasPrepKarishma wrote:
SamuelWitwicky wrote:
I feel statement II can be inferred to be wrong from the graph.

And this is exactly how IR always asks the questions. Can the following be inferred? Yes or No.


There is a difference:

Can you infer that: The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995.
If this is not true, you say that you cannot infer this from the graph. This is a statement and to be inferred, it needs to be true only.

On the other hand: Did the Klein family's annual income increase by a greater amount from 1985 to 1990 than from 1990 to 1995?
When it is a question, you can answer with a Yes or No. Both answers are acceptable. The only answer not acceptable is may be. (your basic DS principle)

This question is asking about a statement and whether you can infer that. If the statement is correct, only then you can infer it.


ok got it! thanks a lot Karishma :)
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 26 Dec 2015, 00:16
Rock750 wrote:
vikrantgulia wrote:
Ok, lets see:
(25 + 25 + 25 + 35 + 35 + 40 + 40 + 55 + 60 + 60 +60) / 11 = 41,8 SO , that is true .


How did you take last three numbers as 60. they look more close to 65 to me. Deciding the xact values make me waste a lot of time on these questions. Any help will be much appreciated. Thanks
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 27 Dec 2015, 20:43
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NoHalfMeasures wrote:
Rock750 wrote:
vikrantgulia wrote:
Ok, lets see:
(25 + 25 + 25 + 35 + 35 + 40 + 40 + 55 + 60 + 60 +60) / 11 = 41,8 SO , that is true .


How did you take last three numbers as 60. they look more close to 65 to me. Deciding the xact values make me waste a lot of time on these questions. Any help will be much appreciated. Thanks


Use the deviation method I have discussed above.

If you do want to take values, take approximate values:
25, 26, 26, 35, 36, 38, 38, 56, 63, 63, 63

Mind you, the average you will get will not be very close to 40 so a few points here and there on your approximation will make no difference.
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 29 Dec 2015, 11:31
VeritasPrepKarishma wrote:
SamuelWitwicky wrote:
I feel statement II can be inferred to be wrong from the graph.

And this is exactly how IR always asks the questions. Can the following be inferred? Yes or No.


There is a difference:

Can you infer that: The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995.
If this is not true, you say that you cannot infer this from the graph. This is a statement and to be inferred, it needs to be true only.

On the other hand: Did the Klein family's annual income increase by a greater amount from 1985 to 1990 than from 1990 to 1995?
When it is a question, you can answer with a Yes or No. Both answers are acceptable. The only answer not acceptable is may be. (your basic DS principle)

This question is asking about a statement and whether you can infer that. If the statement is correct, only then you can infer it.


So just to be sure, in PS and DS, when the question asks 'can you infer...' it means can you get an exact value of this (true/false, yes/no, etc)? But in IR, when the question asks 'can you infer...' it means is there sufficient information provided in the paragraphs and tables for you to ARRIVE at an answer or DEDUCE an answer?
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 29 Dec 2015, 21:48
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sarathvr wrote:
VeritasPrepKarishma wrote:
SamuelWitwicky wrote:
I feel statement II can be inferred to be wrong from the graph.

And this is exactly how IR always asks the questions. Can the following be inferred? Yes or No.


There is a difference:

Can you infer that: The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995.
If this is not true, you say that you cannot infer this from the graph. This is a statement and to be inferred, it needs to be true only.

On the other hand: Did the Klein family's annual income increase by a greater amount from 1985 to 1990 than from 1990 to 1995?
When it is a question, you can answer with a Yes or No. Both answers are acceptable. The only answer not acceptable is may be. (your basic DS principle)

This question is asking about a statement and whether you can infer that. If the statement is correct, only then you can infer it.


So just to be sure, in PS and DS, when the question asks 'can you infer...' it means can you get an exact value of this (true/false, yes/no, etc)? But in IR, when the question asks 'can you infer...' it means is there sufficient information provided in the paragraphs and tables for you to ARRIVE at an answer or DEDUCE an answer?



No, the difference does not lie in whether the question is asked in PS/DS or IR. The difference lies in the way the question is asked.

Can you infer that:
The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995.

This is a statement. To infer it, it needs to be true. If this is not true, you say that you cannot infer this from the graph.

On the other hand:
Did the Klein family's annual income increase by a greater amount from 1985 to 1990 than from 1990 to 1995?

When it is a question, you can answer with a Yes or No. Both answers are acceptable. The only answer not acceptable is may be.
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 21 Nov 2016, 08:23
Responding to a pm:
Quote:
For this particular question (URL link above), I chose Option E as I can infer all the statements, two of which(I and III) are right and one (II) is false.
Kindly explain where am I going wrong?


You cannot infer statement II. Here is why:

Can you infer that: The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995.
If this is not true, you say that you cannot infer this from the graph. This is a statement and to be inferred, it needs to be true ONLY.

On the other hand: Did the Klein family's annual income increase by a greater amount from 1985 to 1990 than from 1990 to 1995?
When it is a question, you can answer with a Yes or No. Both answers are acceptable. The only answer not acceptable is may be. (your basic DS principle)

This question is asking about a statement and whether you can infer that. If the statement is correct, only then you can infer it.
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 03 Jan 2017, 11:18
Just a quick note

Once you realized that I. must be true and II. must not, then you can ignore statement III. and directly mark C: C is the only answer in which I. is true and II. is not!
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 16 Feb 2017, 08:29
VeritasPrepKarishma wrote:
dolphinitida wrote:
For III - Since the data is for 11 consecutive years, why can't you consider year 6 (1990) as the mean? If you do, the annual income appears to be right under $40,000.


What you are talking about is the median. Year 6 will give you the median income. The mean needn't lie at the middle value.
Say, for a set of numbers 4, 5, 5, 6, 7, 20, 22, mean will not be 6 (the middle value). Median will be 6 but mean will be much higher.

Another way to analyze statement III is this:

First 3 points are at most 15000 less than 40,000.
Next 4 points are almost 40,000 each.
The next point is at least 15,000 more than 40,000
The next 3 points are at least 20,000 more than 40,000.

So overall, the distance of the points higher than 40,000 is more than the distance of the points lower than 40,000. This is just your deviation concept applied visually.

For more on deviation, check: http://www.veritasprep.com/blog/2012/05 ... eviations/


this saves a lot of time. i kept addiing all the values and calculating average, eating lot of time
thanks for the post
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 07 Mar 2018, 06:02
I did a calculation mistake while evaluating statement 3 - marked answer A as option. Learning: I should not do calculation in mind, rather I should actually write calculations in a piece of paper.
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Re: Which of the following can be inferred from the data above?  [#permalink]

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New post 07 Mar 2018, 06:46
11 data points : Income in 1000
85 -> 25
86 -> 26
87 -> 26
88 -> 35
89 -> 40
90 -> 44
91 -> 44
92 -> 58
93 -> 64
94 -> 64
95 -> 64


I. The Klein family's annual income more than doubled from 1985 to 1995.
Income in 95 = 64 which is more than twice of 25 ( income from 85 ) - True : B, D are out


II. The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995.

90 - 85 = 44 - 25 = 19
95 - 90 = 64 - 44 = 20

so 19 > 20 - No So E is out


III. The Klein family's average (arithmetic mean) annual income for the period shown was greater than $40,000.

to find average - Let's divide data points by 11 directly rather than summing and then dividing by 11
\(\frac{25}{11}\) + \(\frac{26}{11}\) + \(\frac{26}{11}\) + \(\frac{35}{11}\) + \(\frac{40}{11}\) +
\(\frac{44}{11}\) + \(\frac{44}{11}\) + \(\frac{58}{11}\) + \(\frac{64}{11}\) + \(\frac{64}{11}\) +
\(\frac{64}{11}\)

= 2 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 5 + 5 [ just taking integer values ]
= 8 + 10 + 9 + 15
= 18 + 24
= 42 > 40 hence answer = C


A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III
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Re: Which of the following can be inferred from the data above? &nbs [#permalink] 07 Mar 2018, 06:46
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