The monthly salaries of workers in a garment factory are normally distributed. The mean salary is Rs. 10,000 and standard deviation is Rs. 625. If 2,500 workers are getting salary less than Rs. 10,000, then the total number of workers in the factory is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 5,000
A normal distribution is symmetric about its mean, so exactly half of the workers earn less than the mean salary of Rs. 10,000. Thus 2,500 workers are half of the total.
\( \displaystyle \text{Total}=2\times2{,}500 \)
\( \displaystyle =5{,}000 \)
The standard deviation is not needed.