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Sub 505 (Easy)|   Graphs|   Math Related|         
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gmatt1476
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The two graphs show the probability of having moved (changed residence 14 Mar 2024, 06:35
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Dropdown 1: less than Dropdown 2: greater than
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88% (01:43) correct 12% (01:43) wrong based on 2289 sessions

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The two graphs show the probability of having moved (changed residence) within the past 10 years by percentiles of per capita consumption for individuals in rural and urban India. Note that the probability scales on the two graphs are different.

Use the drop-down menus to create statements that are consistent with the information presented.

For individuals at the 99th percentile of the per capita consumption distribution, the probability of having moved within the past 10 years for rural India is that for urban India.

The range of the probability of having moved within the past 10 years for urban India is that for rural India.­

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Dropdown 1: less than Dropdown 2: greater than
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The two graphs show the probability of having moved (changed residence 03 Apr 2024, 22:19
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gmatt1476
­ The two graphs show the probability of having moved (changed residence) within the past 10 years by percentiles of per capita consumption for individuals in rural and urban India. Note that the probability scales on the two graphs are different.

Use the drop-down menus to create statements that are consistent with the information presented.


For individuals at the 99th percentile of the per capita consumption distribution, the probability of having moved within the past 10 years for rural India is that for urban India.

The range of the probability of having moved within the past 10 years for urban India is that for rural India.­
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­The graphs show the probability of moving of different sections of people in rural and urban India. The individuals have been divided into 7 sections (10th percentile of PCC, 20th percentile of PCC etc) and their probabilities are given.
So in Urban India, probability of moving is 0.06 for '10th percentile of PCC individuals.' (for this group). For 99th percentile of PCC group, it is about 0.2 etc.

For individuals at the 99th percentile of the per capita consumption distribution, the probability of having moved within the past 10 years for rural India is ____ that for urban India.

For rural India, at the '99th percentile of PCC' probability of moving is about 0.06.
For urban India, at the '99th percentile of PCC' probability of moving is about 0.2.
Hence for rural India, it is less.
ANSWER - less than

The range of the probability of having moved within the past 10 years for urban India is ____ that for rural India.­

The range for urban India is about 0.2 - 0.06 = .14
The range for rural India is about .07 - .015 = .055
The range for urban India is much greater.
ANSWER - greater than
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The two graphs show the probability of having moved (changed residence 20 Apr 2024, 06:49
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How can the range be defined here, if we do not know the probability of 0%ile and 100%ile person in those regions?
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The two graphs show the probability of having moved (changed residence 16 Dec 2024, 08:40
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Even if we don't know the 0%ile and 100%ile.. we can see that the probability itself is (axis values) different (greater gap) for these 2 categories.
Also Range is defined by the (largest value - minimum value) so the range of probability is known in the question.
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How can the range be defined here, if we do not know the probability of 0%ile and 100%ile person in those regions?
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The two graphs show the probability of having moved (changed residence 16 Dec 2024, 19:24
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These are some of the comments from experts on gmat club and Reddit. I don’t have permission to quote them.

Many of our understanding about percentiles are wrong. You can look it up further on google.


“A percentile divides data into 100 equal parts, requiring 99 divisions or tick marks. These divisions are called percentiles. For example, if your score is at the 1st percentile, it means all scores below the 1st tick mark are lower than yours, placing you somewhere between the 1st and 2nd tick marks. Being in the 99th percentile means all scores below the 99th tick mark (the last one) are lower than yours, placing you somewhere between the 99th mark and the end. Therefore, there is no 100th percentile.”

“99th percentile means you scored better than 99% of people — and 1% scored either the same or better.
100th percentile would mean you scored better than 100% of people including yourself, which would be impossible because - as you said - you can’t score better than yourself.
0th percentile would mean you scored better than 0% of people, meaning 100% of people scored either better or the same as you. This is possible because you could have just gotten the lowest possible score.”
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The two graphs show the probability of having moved (changed residence 23 Aug 2026, 22:54
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1. Understanding the Axes & Scales

Horizontal Axis (X-Axis): Represents Per Capita Consumption Percentiles (from 10th percentile = poorest group to 99th percentile = wealthiest group).

Vertical Axis (Y-Axis): Represents Probability of Having Moved (ranges from 0 up to the top of the chart).

Crucial Detail: Pay close attention to the Y-axis scales!
Rural India (Top Graph): Y-axis goes from 0.00 to 0.08 (Max value at 99th percentile is \approx 0.06).
Urban India (Bottom Graph): Y-axis goes from 0.00 to 0.25 (Max value at 99th percentile is \approx 0.20).

2. Answering the Drop-Down Statements

Statement 1:
"For individuals at the 99th percentile of the per capita consumption distribution, the probability of having moved within the past 10 years for rural India is [ less than ] that for urban India."

Rural India (99th percentile): Look at the bar above 99. The Y-value is approximately 0.06.
Urban India (99th percentile): Look at the bar above 99. The Y-value is approximately 0.20.

Since 0.06 < 0.20, the correct selection is less than.

Statement 2:
"The range of the probability of having moved within the past 10 years for urban India is [ greater than ] that for rural India."

Range = Maximum Probability - Minimum Probability

Urban India Range:
Max(approx 0.20) - Min(approx 0.06) = 0.14

Rural India Range:
Max(approx 0.06) - Min(approx 0.01) = 0.05

Since 0.14 > 0.05, the range for Urban India is greater than that for Rural India.
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