# Study The Frequency Polygon

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The marks obtained by 273 examinees is shown by the frequency polygon. Give that mean marks is 59.5. Study the frequency polygon and answer O. Nos 1 to 4

1. The number of examinees getting more than average marks is

- 72
- 105
- 152
- 164

2. Percentage of the students who got above 80% marks is

- 9.81
- 10.53
- 11.28
- 11.72

3. Percentage of the students got marks above 60% and below 80% is

- 43.95
- 48.39
- 51.06
- 56.84

4. If 40 is the pass marks, percentage of students failed is…………..

- 14.56
- 15.84
- 16.11
- 17.25

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**1. Answer: (3) 152**

**Explanation:-**

The average marks of examiners = 59.5

The number of examiners who more than the average marks = 72 + 48 + 24 + 8 = 152

Hence, the answer is (3) 152.

**2. Answer : (4) 11.72 %**

**Explanation:-**

The total number of students = 2 + 4 + 12 + 26 + 35 + 42 + 72 + 48 + 24 + 8 = 273

The number of students who got above 80% marks = 24 + 8 = 32

Percentage of the students who got above 80% marks = 32 x 100/273 = 11.72 %

Hence, the answer is (4) 11.72% .

**3. Answer: (1) 43.95%**

**Explanation:-**

The total number of students = 2 + 4 + 12 + 26 + 35 + 42 + 72 + 48 + 24 + 8 = 273

The number of students who got above 60 % and below 80% = 72 + 48 = 120

Percentage of the students got marks above 60% and below 80% = 120 x 100/273

=43.95%

Hence, the answer is (1) 43.95%.

**4. Answer: (3) 16.11 %**

**Explanation:-**

The number of students who got below 40 marks = 2 + 4 + 12 + 26 = 44

Percentage of students failed = 44 x 100/273 = 16.11 %

Hence, the answer is (3) 16.11 %.