For which year is the percentage increase in the number of students qualified over the previous year, the highest?




2009
 
2011
 
2013
 
2014

To determine the year in which the percentage increase in the number of students qualified over the previous year is the highest, we need to calculate the percentage increase for each year provided and compare them.

### Steps:
1. **Identify the number of students qualified for each year** from the graph.
2. **Calculate the percentage increase** from the previous year using the formula:

\[
\text{Percentage Increase} = \left(\frac{\text{Qualified in Current Year} - \text{Qualified in Previous Year}}{\text{Qualified in Previous Year}}\right) \times 100
\]

### Calculation:

1. **2009:** 
   - No calculation needed as there is no previous year data.

2. **2011:** 
   - Percentage increase = \(\frac{ \text{Qualified in 2011} - \text{Qualified in 2010}}{ \text{Qualified in 2010}} \times 100\)

3. **2013:** 
   - Percentage increase = \(\frac{ \text{Qualified in 2013} - \text{Qualified in 2012}}{ \text{Qualified in 2012}} \times 100\)

4. **2014:** 
   - Percentage increase = \(\frac{ \text{Qualified in 2014} - \text{Qualified in 2013}}{ \text{Qualified in 2013}} \times 100\)

### Conclusion:

Without exact numbers, you would calculate the percentages for 2011, 2013, and 2014, then compare them to find the highest. 

Could you provide the numbers from the graph, or would you like assistance in reading the graph and calculating these percentages?

Learn how to calculate the percentage increase in the number of students qualified over previous years. Steps include identifying qualified students for each year, applying the percentage increase formula, and comparing results to find the highest increase year. Suitable for high school students studying data analysis and mathematical calculations.

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