The question asks for the mean and mode of salaries in a small factory. The salaries are: 4 labourers earning ₹ 5000/- each per month and 1 supervisor earning ₹ 15000/- per month.
Calculating Mean Salary
To calculate the mean salary, we sum all the salaries and divide by the total number of employees.
- Total number of employees = 4 labourers + 1 supervisor = 5.
- Sum of labourers' salaries = 4 * ₹ 5000/- = ₹ 20000/-.
- Total salary sum = ₹ 20000/- (labourers) + ₹ 15000/- (supervisor) = ₹ 35000/-.
- Mean salary calculation:
$ \text{Mean} = \frac{\text{Total Salary Sum}}{\text{Number of Employees}} = \frac{₹ 35000}{5} = ₹ 7000/- $
The mean salary is ₹ 7000/-.
Finding Mode Salary
The mode is the value that appears most frequently in a data set. The salaries are: ₹ 5000/-, ₹ 5000/-, ₹ 5000/-, ₹ 5000/-, ₹ 15000/-.
- The salary ₹ 5000/- appears 4 times.
- The salary ₹ 15000/- appears 1 time.
- Since ₹ 5000/- occurs most often, it is the mode.
The mode salary is ₹ 5000/-.
Mean and Mode Summary
The mean salary is ₹ 7000/- and the mode salary is ₹ 5000/-.
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