The bar graph shows the data of the students who appeared and passed in an examination for four school P, Q, R and S. The average of success rates (in percentage) of these four schools is _____.

The correct option is 59.0%.

Step-by-Step Explanation:

By analyzing the bar graph titled "Performance of School P, Q, R and S", we can extract the number of students who appeared (represented by the solid bars) and those who passed (represented by the patterned/striped bars) for each of the four schools:

1. School P:
Number of students appeared = 500
Number of students passed = 280
The success rate of School P is calculated as:
${\text{Success Rate}}_P=\frac{280}{500}\times 100\%=56\%$

2. School Q:
Number of students appeared = 600
Number of students passed = 330
The success rate of School Q is calculated as:
${\text{Success Rate}}_Q=\frac{330}{600}\times 100\%=55\%$

3. School R:
Number of students appeared = 700
Number of students passed = 455
The success rate of School R is calculated as:
${\text{Success Rate}}_R=\frac{455}{700}\times 100\%=65\%$

4. School S:
Number of students appeared = 400
Number of students passed = 240
The success rate of School S is calculated as:
${\text{Success Rate}}_S=\frac{240}{400}\times 100\%=60\%$

Now, to find the average of the success rates of these four schools:
$\text{Average Success Rate}=\frac{56\%+55\%+65\%+60\%}{4}$
$\text{Average Success Rate}=\frac{236\%}{4}=59.0\%$

Therefore, the average success rate of these four schools is 59.0%.