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tickledpink001
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In the chart, the outer circle represents the age distribution of subs 28 Dec 2023, 01:07
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Dropdown 1: median Dropdown 2: 34 and 45
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In the chart, the outer circle represents the age distribution of subscribers to Beautiful Garden magazine, and the inner circle represents the age distribution of subscribers to Garden Joy magazine. Neither magazine has any subscribers less than 18 years old.

Select from the drop-down menus the options that complete the statement so that it is accurate based on the information provided.

It can be determined from the chart that the  of the ages of the subscribers to Beautiful Garden is between 44 and 55 years, whereas that for subscribers to Garden Joy is between  years.­

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Dropdown 1: median Dropdown 2: 34 and 45
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chetan2u
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In the chart, the outer circle represents the age distribution of subs 01 Feb 2024, 07:32
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anikpait17
I am not clear on how are we "assuming" what is the % of values present in a particular segement only by visualising. Yes the size of the segment does matter but I noticed most of the segments are almost very close in size to each other (like similar in size). Can anyone please put a simple explanation on this question?


You don’t have to assume anything.

The boundary between 65+(blue shaded) and 18-24 yr old(Grey shaded) is the start point.
So when we move from this boundary clockwise towards 18+category, we start from 0% of people and end again at this boundary completing one circle covering entire 100% of subscribers.

Now exactly opposite to this line will be 50% mark and there is a wide dotted portion there. So 50% would lie in this dotted portion.
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In the chart, the outer circle represents the age distribution of subs 01 May 2024, 03:00
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KunalSawant08
Why is the answer not mode?
Hi, I hope you are fine.

The answer is not the mode because we don't have precise age data for each individual within the subgroups. Let’s consider two age groups that are so close in distribution: "45-54" and "55-64."
 

For example let's consider that for the group aged 45-54, we have 250 subscribers, divided equally among the ages 46 to 50 years:


  • 50 subscribers aged 46 years
  • 50 subscribers aged 47 years
  • 50 subscribers aged 48 years
  • 50 subscribers aged 49 years
  • 50 subscribers aged 50 years

For the group aged 55-64, we also have 200 subscribers, but the distribution is heavily skewed towards one age:


  • 150 subscribers aged 57 years
  • 50 subscribers aged 58 years
In this scenario, the mode is clearly 57 years, predominantly from the 55-64 age group. This illustrates why knowing the distribution within each age bracket is crucial. Without this, we might inaccurately assess the most common age. Each group represents an age range, and the exact number of individuals at each age within these ranges significantly influences the mode calculation.

Thus, it’s important to consider the internal age distribution within each group to accurately determine the mode. This example shows that the mode falls within the 55-64 age group, not the 45-54 group, highlighting the need for detailed demographic data in such analyses.­
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In the chart, the outer circle represents the age distribution of subs 28 Dec 2023, 01:44
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tickledpink001
Can anyone please help me understand how the median of the ages of the "beautiful garden" group is between 44 and 55 years?
The median of the 6 age groups, when listen in ascending order, should be between the 3rd and 4th2 group by size- in this case it's the 25-34 and 35-44 group- where am I going wrong?


Be careful in reading the question stem.

It says the _Median_ of ages of the subscriber, and not median of age groups.

For median of ages, you have ti list ages in ascending/descending order and find middle age. Here, the ages are not given, but we know approx % in each group.

So, the age at 50% of the ages placed in order will give you the median.

How do you find that?
Take the boundary of 18-24 and 65+ as 0, so right diametrically opposite will give you 50% divider. Here, it lies in dotted portion, which gives 45-54 age bracket.
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In the chart, the outer circle represents the age distribution of subs 28 Dec 2023, 01:56
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tickledpink001
Can anyone please help me understand how the median of the ages of the "beautiful garden" group is between 44 and 55 years?
The median of the 6 age groups, when listen in ascending order, should be between the 3rd and 4th2 group by size- in this case it's the 25-34 and 35-44 group- where am I going wrong?


Be careful in reading the question stem.

It says the _Median_ of ages of the subscriber, and not median of age groups.

For median of ages, you have ti list ages in ascending/descending order and find middle age. Here, the ages are not given, but we know approx % in each group.

So, the age at 50% of the ages placed in order will give you the median.

How do you find that?
Take the boundary of 18-24 and 65+ as 0, so right diametrically opposite will give you 50% divider. Here, it lies in dotted portion, which gives 45-54 age bracket.

Thanks- but I thought listing the distribution of age groups (according to the number of people in each one) in ascending order gives the 50% mark (median) as the 2nd and 3rd age group so the ages should correspond to that group? so in this case 25-34 and 35-44 group?
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In the chart, the outer circle represents the age distribution of subs 28 Dec 2023, 02:26
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tickledpink001
chetan2u
tickledpink001
Can anyone please help me understand how the median of the ages of the "beautiful garden" group is between 44 and 55 years?
The median of the 6 age groups, when listen in ascending order, should be between the 3rd and 4th2 group by size- in this case it's the 25-34 and 35-44 group- where am I going wrong?


Be careful in reading the question stem.

It says the _Median_ of ages of the subscriber, and not median of age groups.

For median of ages, you have ti list ages in ascending/descending order and find middle age. Here, the ages are not given, but we know approx % in each group.

So, the age at 50% of the ages placed in order will give you the median.

How do you find that?
Take the boundary of 18-24 and 65+ as 0, so right diametrically opposite will give you 50% divider. Here, it lies in dotted portion, which gives 45-54 age bracket.

Thanks- but I thought listing the distribution of age groups (according to the number of people in each one) in ascending order gives the 50% mark (median) as the 2nd and 3rd age group so the ages should correspond to that group? so in this case 25-34 and 35-44 group?


Let me put the values in a different way
Age….%
0-10…1%
10-20…1%
20-30..1%
30-40..90%
40-50..7%

So, the median of ages would be in bracket 30-40 years.

Also, take there are 100 students, then the data will be
Age….number
0-10…1
10-20…1
20-30..1
30-40..90
40-50..7

So ages in ascending order => 7, 15, 21, 31,31,31,32,32,32,32……..39,39,39,40, 41, 45
Of course the median will be between 30 and 40.
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In the chart, the outer circle represents the age distribution of subs 28 Dec 2023, 05:33
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Let me put the values in a different way
Age….%
0-10…1%
10-20…1%
20-30..1%
30-40..90%
40-50..7%

So, the median of ages would be in bracket 30-40 years.

Also, take there are 100 students, then the data will be
Age….number
0-10…1
10-20…1
20-30..1
30-40..90
40-50..7

So ages in ascending order => 7, 15, 21, 31,31,31,32,32,32,32……..39,39,39,40, 41, 45
Of course the median will be between 30 and 40.[/quote]

thanks a tonne!

Q- what if in the pie chart, the segments weren't split according to size? how then would we figure out the median (instead of putting 0 at the smallest 2 sub groups)?
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In the chart, the outer circle represents the age distribution of subs 01 Feb 2024, 07:23
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I am not clear on how are we "assuming" what is the % of values present in a particular segement only by visualising. Yes the size of the segment does matter but I noticed most of the segments are almost very close in size to each other (like similar in size). Can anyone please put a simple explanation on this question?
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In the chart, the outer circle represents the age distribution of subs 01 Apr 2024, 05:01
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Why is the answer not mode?
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In the chart, the outer circle represents the age distribution of subs 25 Apr 2024, 10:21
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a really nice question!
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In the chart, the outer circle represents the age distribution of subs 01 May 2024, 19:09
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KunalSawant08
Why is the answer not mode?
­Hi KunalSawant08
Thanks for posting your query.

Before finalizing the correct choice between Median and Mode for Blank 1, we must understand that whatever we mark here will affect our answer for Blank 2 as well.

Now, observe if you choose 'MODE' for blank 1, the question statement becomes "It can be determined from the chart that the MODE of the ages of the subscribers to Beautiful Garden is between 44 and 55 years, whereas THE MODE for subscribers to Garden Joy is between _____ years.­"
  • We now need to determine, from the given age groups for Garden Joy magazine, which one has the MAXIMUM subscribers. 
    • As the definition of Mode says, "The mode of a list of numbers is the number that occurs most often in the list."
  • If you observe, you will see that it is impossible to say which portion of the inner circle is the BIGGEST, or we can say which age group has the maximum number of subscribers.
    • See, the segments representing the age groups 25 to 34, 35 to 44, and 45 to 54 appear to be roughly the same size.
    • It is impossible to assert that any one of these groups is larger than the others, without knowing the exact numbers.
      •  And as we have no guarantee of one of these age groups having more subscribers than the remaining two, we cannot find the mode for Garden Joy magazine.
        • Now, while we cannot conclusively rule out "Mode," we should certainly look for a better option because if we have a better option available than this then that would be our DEFINITE answer, right!
          • And See, we have Median as one of the options, so we must choose 'Median' over 'Mode' for Blank 1, as it can be determined for both magazines.  :)

Hope this will clarify!
Regards,
Aditi Gupta
Quant Expert, e-GMAT ­
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In the chart, the outer circle represents the age distribution of subs 08 Jun 2024, 05:19
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can someone please explain why the first part's answer will be 'median'?
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In the chart, the outer circle represents the age distribution of subs 19 Jul 2024, 06:43
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­Watch this solution to see how a seemingly complex question about mean, median, and mode in a pie chart can be tackled efficiently. This video demonstrates:
  1. The importance of drawing logical inferences from visual data
  2. How to extract key information from a pie chart without getting bogged down in unnecessary calculations
  3. The power of understanding the relationship between mean, median, and mode in different data distributions



By focusing on these aspects, you'll learn to approach such questions strategically, potentially saving valuable time in the exam. Pay attention to how the solution leverages the visual nature of pie charts to make quick estimations. Can you spot the key visual cues that lead to the correct answer before the calculations are shown?

 ­
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In the chart, the outer circle represents the age distribution of subs 05 Mar 2025, 18:39
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I can't quite get why the correct interval is (34 - 45), when the graphic's interval is (35 - 44). I know it can be evident when you already figured out that we are talking about the median, but before that, the fact that the intervals are not the same, somehow confused me.
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In the chart, the outer circle represents the age distribution of subs 11 Mar 2025, 07:29
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Time to answer this question: 2:26 Mins

I started looking at the answer of first question here first.

The most appropriate answer looked like Mode for first one as it's clearly distinguishable as most occurring age group
However when I went to the second question then I faced challenge differentiating 45-54, 35-44 and 25-34

So I relooked at first question where I could be certain of something. Now, mean can NOT be calculated as it depends on exactness of ages hence eliminated cases were
Mean
Mode
So the correct answer of first was Median

Now, for the second question, Median was to be found by finding middle term when arranging in increasing order.

It was very clear when we start from 18-24, the blue part ie. 35-44 cuts more than half way hence the media

Dropdown 1: Median
Dropdown 2: 35-44

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tickledpink001


In the chart, the outer circle represents the age distribution of subscribers to Beautiful Garden magazine, and the inner circle represents the age distribution of subscribers to Garden Joy magazine. Neither magazine has any subscribers less than 18 years old.

Select from the drop-down menus the options that complete the statement so that it is accurate based on the information provided.

It can be determined from the chart that the of the ages of the subscribers to Beautiful Garden is between 44 and 55 years, whereas that for subscribers to Garden Joy is between years.­

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