The following table shows the percentage (%) of girls who passed in an examination and the percentage (%) of boys who failed in that exam in a school during the six years from 2018 to 2023. Based on the data in the table, answer the questions that follow.
Year-wise Result details of Students
Year Percentage of Girls who passed Percentage of Boys who failed 2018 32% 40% 2019 42% 60% 2020 55% 25% 2021 40% 30% 2022 60% 50% 2023 42% 80%
Analyzing Girls Performance Improvement Year-on-Year
The question asks us to find the year when the performance of girls showed the maximum improvement compared to the previous year. We need to look at the 'Percentage of Girls who passed' column in the provided table and calculate the year-on-year increase.
Student Performance Data
| Year | Percentage of Girls who passed | Percentage of Boys who failed |
|---|---|---|
| 2018 | 32% | 40% |
| 2019 | 42% | 60% |
| 2020 | 55% | 25% |
| 2021 | 40% | 30% |
| 2022 | 60% | 50% |
| 2023 | 42% | 80% |
Calculating Improvement in Girls' Passing Percentage
We will calculate the difference in the percentage of girls passing between consecutive years. An increase in this percentage indicates an improvement in performance.
- 2018 to 2019: The percentage of girls passing increased from 32% to 42%.
Improvement = $\text{42\%} - \text{32\%} = \text{10\%}$ - 2019 to 2020: The percentage of girls passing increased from 42% to 55%.
Improvement = $\text{55\%} - \text{42\%} = \text{13\%}$ - 2020 to 2021: The percentage of girls passing decreased from 55% to 40%.
Change = $\text{40\%} - \text{55\%} = -\text{15\%}$ (This is a decrease, not an improvement) - 2021 to 2022: The percentage of girls passing increased from 40% to 60%.
Improvement = $\text{60\%} - \text{40\%} = \text{20\%}$ - 2022 to 2023: The percentage of girls passing decreased from 60% to 42%.
Change = $\text{42\%} - \text{60\%} = -\text{18\%}$ (This is a decrease, not an improvement)
Identifying Maximum Improvement Year
Comparing the calculated improvements:
- Improvement in 2019: 10%
- Improvement in 2020: 13%
- Improvement in 2022: 20%
The largest increase in the percentage of girls passing occurred between 2021 and 2022, which is a 20% improvement. Therefore, the performance of girls showed maximum improvement in the year 2022 compared to the previous year.
Important Questions from Data Interpretation
The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?
Expense Amount Food 5,000 Rent 20,000 Travel 10,000 Clothing 3,000 Miscellaneous 15,000 Savings 7,500 What does the height of the rectangle in a histogram show?
Following table provides figures (in rupees) on annual expenditure of a firm for two years – 2010 and 2011.
Category
2010
2011
Raw material
5200
6240
Power & fuel
7000
9450
Salary & wages
9000
12600
Plant & machinery
20000
25000
Advertising
15000
19500
Research & Development
22000
26400
In 2011, which of the following two categories have registered increase by same percentage?
Read the following table giving sales data of five types of batteries for years 2006 to 2012
Year
Type I
Type II
Type III
Type IV
Type V
2006
75
144
114
102
108
2007
90
126
102
84
126
2008
96
114
75
105
135
2009
105
90
150
90
75
2010
90
75
135
75
90
2011
105
60
165
45
120
2012
115
85
160
100
145
Out of the following which type of battery achieved highest growth between the years 2006 and 2012?Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F and G?
A
D
B
G
E
C
F
