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# According to the chart shown, which of the following is

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Manager
Joined: 02 Dec 2012
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According to the chart shown, which of the following is  [#permalink]

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12 Dec 2012, 02:05
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According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000
Math Expert
Joined: 02 Sep 2009
Posts: 64172
Re: According to the chart shown, which of the following is  [#permalink]

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12 Dec 2012, 02:10
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15

According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

We have 11 (odd) data points (from 1990 to 2000, inclusive), thus the median of these 11 numbers would be the middle term (6th largest number), when arranged in ascending order.

The 6th largest number, the 6th tallest bar, is for year 1994, which corresponds to approximately 310,000.

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Re: According to the chart shown, which of the following is  [#permalink]

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30 Apr 2013, 21:47
5
1
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Attachment:
Shipments.png
According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

Without finding value of each bar, it is possible to find out the middle value in 30 sec as the picture is simple enough.

There are 11 bars, so there will 5 taller and 5 shorter bars than the median.
First four bars and last bar in the picture are the shortest 5 bars.
Bar number 6-10 in the picture are tallest 5 bars.
So the median is the value of 5th bar in the picture, which is little above 300,000. So the approximate value must be 310,000 (Option C).
##### General Discussion
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Re: According to the chart shown, which of the following is  [#permalink]

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13 Apr 2013, 04:56
3
Dummies like myself tend to start questions from the basics

Before starting, you need to know how to calculate the Median value - The Median is the "middle number" (in a sorted list of numbers).

To find the Median number, you need to know how many numbers there are in a set, its' total could either be even or odd.
For example

Set 1 ( 2, 5, 6, 7, 8 ) = 5 numbers (odd), the Median value is the 3rd number, 5.

Set 2 ( 2, 4, 6, 8, 10, 11) = 6 numbers (even)0, the Median value is average of the two middle valudes, e.g. (6+8)/2= 7

In the question, 1990 - 2000, there are 11 (odd) numbers in the chart, you will have to sort their values from the lowest to the highest and count the 6th number.

Year '000
1 1991 180
2 1990 190
3 1992 210
4 1993 270
5 2000 270
6 1994 310
7 1995 350
8 1999 360
9 1997 370
10 1996 380
11 1998 390

Thanks
Manager
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Re: According to the chart shown, which of the following is  [#permalink]

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30 Apr 2013, 21:11
1
Here's a way of doing this problem, without breaking your head is to number the years from left to right, so for 1990, I used 1. 1992, 2, 1993, 3. .....etc.
Then list the same digits in terms of highest value starting from the highest number on the left so for the highest I chose year 9, to the lowest number ( i chose year 1). Make sure you double check the count, so if it's 11 years, you must have 11 digits, organize then pick your median.

In my sequence of numbers I got 9-8-7-10-6-5-4-3-11-2-1, median number shows 5.

Kudos if it helps!
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Posts: 64172
Re: According to the chart shown, which of the following is  [#permalink]

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18 Jun 2013, 00:42
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

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Re: According to the chart shown, which of the following is  [#permalink]

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17 Dec 2013, 08:51
I'm sorry I feel very foolish for getting this wrong and I'm sure this question will sound just as foolish.

I correctly found which bar was the Median bar on the graph (because I know how to find the median) but then estimated that the value of that bar was 325,000 (D). Am I just supposed to be better at reading graphs to know that it's supposed to be 310? I just don't understand how I'm supposed to know that the median bar on the graph is 310 without any other numerical help besides the 100,000 increments on the right. I would definitely get this wrong on the real exam for the same reason.
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Posts: 64172
Re: According to the chart shown, which of the following is  [#permalink]

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17 Dec 2013, 08:56
1
Rdotyung wrote:
I'm sorry I feel very foolish for getting this wrong and I'm sure this question will sound just as foolish.

I correctly found which bar was the Median bar on the graph (because I know how to find the median) but then estimated that the value of that bar was 325,000 (D). Am I just supposed to be better at reading graphs to know that it's supposed to be 310? I just don't understand how I'm supposed to know that the median bar on the graph is 310 without any other numerical help besides the 100,000 increments on the right. I would definitely get this wrong on the real exam for the same reason.

Well, 6th tallest bar, is a bit more than 300,000 so approximately 310,000.

325,000 would be 300,000 and 1/4th of the increment and the bar for 1994 is less than that.
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Re: According to the chart shown, which of the following is  [#permalink]

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14 Sep 2014, 06:29
Bunuel wrote:

According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

We have 11 (odd) data points (from 1990 to 2000, inclusive), thus the median of these 11 numbers would be the middle term (6th largest number), when arranged in ascending order.I marked E

The 6th largest number, the 6th tallest bar, is for year 1994, which corresponds to approximately 310,000.

I marked it E, because the 6th bar is nowhere close to 300,000, its seems to be close to 350,000, or at best close to 325,000. I still feel that the answer choice C is wrong.
Math Expert
Joined: 02 Sep 2009
Posts: 64172
Re: According to the chart shown, which of the following is  [#permalink]

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14 Sep 2014, 15:36
3
Thoughtosphere wrote:
Bunuel wrote:

According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

We have 11 (odd) data points (from 1990 to 2000, inclusive), thus the median of these 11 numbers would be the middle term (6th largest number), when arranged in ascending order.I marked E

The 6th largest number, the 6th tallest bar, is for year 1994, which corresponds to approximately 310,000.

I marked it E, because the 6th bar is nowhere close to 300,000, its seems to be close to 350,000, or at best close to 325,000. I still feel that the answer choice C is wrong.

Please re-read the solution. We need the value of 6th tallest bar NOT 6th bar from.
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Re: According to the chart shown, which of the following is  [#permalink]

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14 Sep 2014, 17:56
Bunuel wrote:
Thoughtosphere wrote:
Bunuel wrote:

According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

We have 11 (odd) data points (from 1990 to 2000, inclusive), thus the median of these 11 numbers would be the middle term (6th largest number), when arranged in ascending order.I marked E

The 6th largest number, the 6th tallest bar, is for year 1994, which corresponds to approximately 310,000.

I marked it E, because the 6th bar is nowhere close to 300,000, its seems to be close to 350,000, or at best close to 325,000. I still feel that the answer choice C is wrong.

Please re-read the solution. We need the value of 6th tallest bar NOT 6th bar from.

Hey thanks a lot. That was a conceptual error on my front. While finding the median I didn't sort the data in ascending / descending order.
Senior Manager
Joined: 24 Nov 2015
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Re: According to the chart shown, which of the following is  [#permalink]

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24 Apr 2016, 01:31
1
as the graph has 11 values, arrange them in ascending order will result in 6th number being the median value which comes out to be approximately 310000. so correct answer option C
Target Test Prep Representative
Affiliations: Target Test Prep
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Posts: 2800
Re: According to the chart shown, which of the following is  [#permalink]

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27 Apr 2016, 08:26
3
Attachment:
Shipments.png
According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

Solution:

An easy way to determine which data value is the median is to take the total number of shipments, add 1, and then divide by 2:

(11 + 1)/2 = 6

Thus, the median will be the 6th shipment. (Remember, we will have to list the data values in ascending order, and the 6th value will be the median.)

We can always use the above method of determining the median when we have an odd number of terms.

Let’s start by ordering the approximate number of shipments from least to greatest with the year in parentheses. Since we know the median is the 6th shipment, we can stop once we get to the 6th term.

1) 180,000 (1991)

2) 190,000 (1990)

3) 210,000 (1992)

4) 280,000 (1993)

5) 280,000 (2000)

6) 305,000 (1994)

We see that 305,000 is the median number of shipments, which is closest to 310,000.

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According to the chart shown, which of the following is  [#permalink]

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08 Nov 2016, 05:42
Bunuel wrote:

According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

We have 11 (odd) data points (from 1990 to 2000, inclusive), thus the median of these 11 numbers would be the middle term (6th largest number), when arranged in ascending order.

The 6th largest number, the 6th tallest bar, is for year 1994, which corresponds to approximately 310,000.

i think the answer is not EXACT; it is approximate figure. @bunual, the tallest 6th bar did not indicate any specific figure. So, why we consider it as (C) 310,000? why don't we consider it as 325,000 (D)?
Thanks...
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Re: According to the chart shown, which of the following is  [#permalink]

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26 Dec 2016, 01:43
Since the median value os 1994's value -> Slightly greater than 300,000 => Hence C

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Re: According to the chart shown, which of the following is  [#permalink]

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25 Mar 2017, 05:26
2000-1990=10+1(because inclusive)

so, let's find 6th number in ascending order
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Re: According to the chart shown, which of the following is  [#permalink]

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13 Sep 2017, 17:52
JeffTargetTestPrep

Quote:
An easy way to determine which data value is the median is to take the total number of shipments, add 1, and then divide by 2:

Is the approach valid for both even and and odd no in data set?
Also arranging in either order shall not make a difference to median.
Am I correct?
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Re: According to the chart shown, which of the following is  [#permalink]

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19 Sep 2018, 10:14
Hi Bunuel

Thanks for all your questions and clarifications.

I wonder this answer , when you say 6th is actully the 95' bar chart which is somewhere 340/325 or so. Also with data points for 11 years, the mid point is 6th, am surprised that everytime I see the chart I see 6th as '95 but others are seeing '94. Help ?

Bunuel wrote:

According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

We have 11 (odd) data points (from 1990 to 2000, inclusive), thus the median of these 11 numbers would be the middle term (6th largest number), when arranged in ascending order.

The 6th largest number, the 6th tallest bar, is for year 1994, which corresponds to approximately 310,000.

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Joined: 23 Feb 2015
Posts: 1892
Re: According to the chart shown, which of the following is  [#permalink]

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11 Apr 2020, 15:03
Attachment:
Shipments.png
According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

Hello experts,
If someone (student) has a little bit eye problem, how s/he make decision between C and D?
Thanks__
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Re: According to the chart shown, which of the following is  [#permalink]

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12 Apr 2020, 05:00
1
Attachment:
Shipments.png
According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

(A) 250,000
(B) 280,000
(C) 310,000
(D) 325,000
(E) 340,000

Hello experts,
If someone (student) has a little bit eye problem, how s/he make decision between C and D?
Thanks__

I'll refrain from commenting on the biological constraints that a student might have. However, he/she can certainly improve his/her estimation and approximation skills.

In a bar graph like the one in this question, learn to observe the intervals in the vertical direction (the horizontal axis represents ‘Time’ most often) . In this graph, the interval is that of 100,000 units.

Once this is done, you need to have certain fixed points like the below:
If the top of a bar is exactly in between the upper and the lower interval, it is 50,000. This is the halfway mark.

If the top of a bar is exactly in between the halfway mark and the lower interval, take it as 25,000.

If the top of a bar is exactly in between the halfway mark and the upper interval, take it as 75,000.

Now, we come to the most interesting part which has probably necessitated this question. What if the bar ends just above the lower interval? Or just below the upper interval?

For example, what would be the value for 1990? I’d take it as 190,000. What about 1994, you ask! I’d take 310,000. How about 1992? I’d assume it as 220,000 but if you assumed it as 225,000, our answers would not be a world apart.

Remember that if you find a similar question on the GMAT, the question will probably accommodate the fact that two different students will interpret the same bar in the way we did. As such, the answer options may not be really very close for you to worry about going wrong if your estimation was slightly off. In fact, in a lot of questions, GMAT expects you to approximate/estimate and rewards you if you do.

So, do not worry about your approximated values not matching exactly with someone else’s, as long as you are not making vague approximations.

Hope that helps!
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Re: According to the chart shown, which of the following is   [#permalink] 12 Apr 2020, 05:00

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