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Read the following scenario and answer the THREE questions that follow.
Comprehension:
The plots below depict and compare the average monthly incomes (in Rs. ’000) of males and females in ten cities of India in the years 2005 and 2015. The ten cities, marked A-J in the records, are of different population sizes. For a fair comparison, to adjust for inflation, incomes for both the periods are scaled to 2025 prices.
Each red dot represents the average monthly income of females in a particular city in a particular year, while each blue dot represents the average monthly income of males in a particular city in a particular year. The gender gap for a city, for a particular year, is defined as the absolute value of the average monthly income of males, minus the average monthly income of females, in that year.
Which of the following statements, about the average monthly incomes of the 10 cities, as represented in the plots, is DEFINITELY FALSE?
Option A: average gender gap of the 10 cities in 2005 = 11.25.
average gender gap of the 10 cities in 2015 = 7.75. Average in 2015 is less when compared to 2005.
Option B: Median of men's income in 2005 = 32.5
Median of women's income in 2005 = 22.5
Median of men's income in 2015 = 32.5
Median of women's income in 2015 = 22.5
Median of men's income is higher than median of women's income in both the years.
Option C: The average men's income in all 10 cities in 2005 is more than or equal to 30,000. So, there is not way a for the average to be less than Rs. 30,000.
So, option C is false.
Option D: We can clearly see that average montly income of men in 2005 in many cities is more than that in 2015.
Option E: There are some cities where the average income for women is less than Rs. 22,000.
Since the poopulation can be more in those cities, we can't say if the average income of women is less than Rs. 22,000. So, there is a case for this statement to be true.
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