Consider a small unit of a factory where there are 5 employees : a supervisor and four labourers. The labourers draw a salary of Rs 5,000 per month each while the supervisor gets Rs 15,000 per month. Calculate the mean, median and mode of the salaries of this unit of the factory.

Options

A. mean = rs `7000`, median = rs `5000`, mode = rs `5000`
B. mean = rs `6000`, median = rs `5000`, mode = rs `4000`
C. mean = rs `8000`, median = rs `8000`, mode = rs `6000`
D. mean = rs `7600`, median = rs `5670`, mode = rs `5900`

Explanation

To solve the problem, we need to calculate the mean, median, and mode of the salaries of the employees in the factory.

### Step 1: List the Salaries
First, we identify the salaries of the employees:
- Four labourers each earn Rs 5,000.
- One supervisor earns Rs 15,000.

So, the salaries are:
- Rs 5,000 (labourer)
- Rs 5,000 (labourer)
- Rs 5,000 (labourer)
- Rs 5,000 (labourer)
- Rs 15,000 (supervisor)

### Step 2: Calculate the Mean
The mean salary is calculated using the formula:
\[ \text{Mean} = \frac{\text{Sum of all salaries}}{\text{Total number of employees}} \]

Calculating the sum of salaries:
\[ \text{Sum} = 5000 + 5000 + 5000 + 5000 + 15000 = 35000 \]

Now, we divide by the total number of employees (5):
\[ \text{Mean} = \frac{35000}{5} = 7000 \]

### Step 3: Calculate the Median
To find the median, we first arrange the salaries in ascending order:
- Rs 5,000
- Rs 5,000
- Rs 5,000
- Rs 5,000
- Rs 15,000

Since there are 5 salaries (an odd number), the median is the middle value:
\[ \text{Median} = \text{3rd observation} = 5000 \]

### Step 4: Calculate the Mode
The mode is the salary that occurs most frequently. In our list:
- Rs 5,000 occurs 4 times.
- Rs 15,000 occurs 1 time.

Thus, the mode is:
\[ \text{Mode} = 5000 \]

### Summary of Results
- Mean Salary = Rs 7,000
- Median Salary = Rs 5,000
- Mode Salary = Rs 5,000

---