Study the given table and answer the question that follows.
The daily wages of 50 employees of a company is shown in the table.
| Daily wages Interval | Frequency (No. of Employee) |
| 80-90 | 9 |
| 90-100 | 3 |
| 100-110 | 31 |
| 110-120 | 5 |
| 120-130 | 2 |
Select the correct statement from the following options.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. The average wages of the employees lie between 100-110.
| Interval | xi | fi | xifi |
| 80 - 90 | 85 | 9 | 765 |
| 90 - 100 | 95 | 3 | 285 |
| 100 - 110 | 105 | 31 | 3255 |
| 110 - 120 | 115 | 5 | 575 |
| 120 - 130 | 125 | 2 | 250 |
Sum of xifi = 765 + 285 + 3255 + 575 + 250 = 5130
Sum of fi = 9 + 3 + 31 + 5 + 2 = 50
Required average = 5130/50 = 102.6
Hence, the average wages lie between 100 - 110.