Question : Study the given table and answer the question that follows.
The daily wages of 50 employees of a company are 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.
Option 1: The average wage of the employees lies between 80-90.
Option 2: The average wage of the employees lies between 110-120.
Option 3: The average wage of the employees lies between 100-110.
Option 4: The average wage of the employees lies between 90-100.
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Correct Answer: The average wage of the employees lies between 100-110.
Solution :
Average Wage
= $\frac{\sum \text{Mid point of class interval}\times \text{Frequency}}{\text{Total number of employees}}$
= $\frac{85×9+95×3+105×31+115×5+125×2}{50}$
= $\frac{513}{50}$
= $102.6$
Hence, the correct answer is "The average wage of the employees lies between 100-110."
Related Questions
Question : The following table shows the number of children in each house of a society.
| Number of Children | Number of Houses |
| 0 | 7 |
| 1 | 7 |
| 2 | 13 |
| 3 | 3 |
What is the average number of children per house?
Option 1: 1.65
Option 2: 1.4
Option 3: 1.9
Option 4: 1.15
Question : The table given below shows the number of boys and girls in a school in 6 years.
| Years | Boys | Girls |
| A | 80 | 70 |
| B | 60 | 50 |
| C | 120 | 100 |
| D | 100 | 140 |
| E | 160 | 40 |
| F | 90 | 80 |
What is the ratio of the number of boys in years A and C together to the number of girls in years E and F together?
Option 1: 7 : 2
Option 2: 7 : 3
Option 3: 5 : 3
Option 4: 5 : 2
Question : The following table shows the number of pages printed by 3 printers during 3 days.
| Printers | X | Y | Z |
| Days | |||
| Monday | 130 | 140 | 210 |
| Tuesday | 110 | 145 | 160 |
| Wednesday | 180 | 90 | 218 |
What is the average number of pages printed by printer Z during the 3 days?
Option 1: 196
Option 2: 194
Option 3: 192
Option 4: 190
Question : The table given below shows the number of salesmen in five companies.
| Companies | Salesman |
| J | 45 |
| K | 20 |
| L | 40 |
| M | 15 |
| N | 25 |
The number of salesmen in J is what percentage of the number of salesmen in K?
Option 1: 250%
Option 2: 150%
Option 3: 125%
Option 4: 225%
Question : The table given below shows the number of books sold by 7 shops.
| Shops | Books |
| A | 34 |
| B | 48 |
| C | 50 |
| D | 100 |
| E | 64 |
| F | 110 |
| G | 16 |
What is the difference between the number of books sold by A and B together and the number of books sold by E and F together?
Option 1: 82
Option 2: 96
Option 3: 92
Option 4: 174
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