# Study the Following Frequency Polygon and Answer the Question

Study the following frequency polygon and answer the question numbered 148 to 150 Given a line graph showing the number of students passed in Higher Secondary Examination in a school over the years from 2008 to 2013.

**A.** The increase in percentage of passed student from 2008 to 2011 approximately is:

- 50.5%
- 53.05%
- 55%
- 54.5%

**B.** The decrease in percentage of passed students from 2011 to 2012 approximately:

- 8.25%
- 8.24%
- 8.22%
- 8..27%

**C.** The average of passed students in the year 2008, 2009, 2012 approximately is:

- 134.41
- 134.32
- 134.56
- 134.67

**A. Answer: (4) 54.5 %**

**Explanation:- **The students passed in 2008 = 110

Students pass in 2011 = 170

The increase passed students from 2008 to 2011 = 170 – 110

= 60

The increase in percentage of passed student from 2008 to 2011 = 60 x 100/110

= 54.5% (Approximately)

Hence, the answer is (4) 54.5%.

**B. Answer: (2) 8.24%**

**Explanation:- **The students pass in 2011 = 170

The students pass in 2012 = 158

Decreased students = 170 – 156

= 14

The decrease in percentage of passed students from 2011 to 2012 = 14 x 100/170

= 8.24% (approximately)

Hence, the answer is (2) 8.24%.

**C. Answer: (4) 134.67**

**Explanation:- **The total passed students in 2008, 2009, 2012 = 110 + 138 + 156

= 404

Then, the average of passed students in the year 2008, 2009, 2012 = 134.67 (approximately)

Hence, the answer is (4) 134.67 (approximately).