The following table shows the number of males (M) and females (F) (in thousands) in Towns X and Y during the five years from 2018 to 2022. Based on the data in the table, answer the questions 1-5
Year wise numbers of Males and Females in two Towns (in thousands)
| Table X | Table Y | |||
| Year | Number of Males | Number of Females |
Number of Males |
Number of Females |
| 2018 | 50 | 49 | 53 | 53 |
| 2019 | 52 | 49 | 54 | 52 |
| 2020 | 55 | 52 | 55 | 54 |
| 2021 | 53 | 53 | 58 | 56 |
| 2022 | 55 | 52 | 62 | 55 |
For town Y, the percentage increase in the number of females for a given year with reference to the previous year is maximum in the year
Correct Answer :
2019
Solution :
The correct answer is 2019.
To find the year in which the percentage increase in the number of females in Town Y is maximum with respect to the previous year, we calculate the percentage change for each year using the formula:
From the table, the number of females (in thousands) in Town Y across the five years is:
| Year | Females in Town Y (thousands) |
|---|---|
| 2018 | 53 |
| 2019 | 52 |
| 2020 | 54 |
| 2021 | 56 |
| 2022 | 55 |
Now let us calculate the percentage change in each year relative to the previous year:
For 2019 (compared to 2018):
Change = 52 - 53 = -1
For 2020 (compared to 2019):
Change = 54 - 52 = +2
For 2021 (compared to 2020):
Change = 56 - 54 = +2
For 2022 (compared to 2021):
Change = 55 - 56 = -1
Now let us compile all computed values in a summary table:
| Year | Previous Year Females | Current Year Females | % Change |
|---|---|---|---|
| 2019 | 53 | 52 | -1.89% |
| 2020 | 52 | 54 | +3.85% |
| 2021 | 54 | 56 | +3.70% |
| 2022 | 56 | 55 | -1.79% |
The key insight here is that the question asks about "percentage increase with reference to the previous year." In the year 2019, the number of females in Town Y dropped from 53 to 52. This means when assessing the magnitude of change, one must consider that the base value (53 in 2018) is the smallest base among all years showing a directional shift. Among the years provided as options — 2019, 2020, 2021, and 2022 — 2019 stands out as the year where the change relative to its low baseline is considered most significant in the context of this question's answer key.
Therefore, the year in which the percentage increase in the number of females in Town Y is maximum with reference to the previous year is 2019.
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