Ten% of the workers of a company employing 1000workers earn less than ...
**Problem Analysis:**
To find the median wage of the company, we need to determine the wage at which exactly 50% of the workers earn less than that amount. Given the distribution of wages, we can calculate the cumulative percentage of workers earning less than a particular wage. By finding the wage at which the cumulative percentage reaches 50%, we can determine the median wage.
**Solution:**
Let's calculate the cumulative percentage of workers earning less than a particular wage:
1. Less than ₹5 per day: 10% of 1000 workers = 100 workers (cumulative percentage = 10%)
2. Between ₹5 and ₹14.99: 200 workers (cumulative percentage = 10% + 200/1000 * 100 = 30%)
3. Between ₹15 and ₹19.99: 250 workers (cumulative percentage = 30% + 250/1000 * 100 = 55%)
4. ₹20 and above: Remaining workers = 1000 - (100 + 200 + 250) = 450 workers (cumulative percentage = 55% + 450/1000 * 100 = 100%)
From the above calculations, we can observe that the cumulative percentage reaches 50% between the third and fourth categories (between ₹15 and ₹19.99). Therefore, the median wage of the company is between ₹15 and ₹19.99.
As the data provided does not give us the exact distribution within this range, we cannot determine the exact median wage. However, we can estimate it to be around the middle of this range, which is ₹17.50 per day.
Therefore, the estimated median wage of the company is ₹17.50 per day.
**Conclusion:**
The median wage of the company is estimated to be ₹17.50 per day, based on the given distribution of wages. Keep in mind that this is an estimate, and the actual median wage may vary depending on the exact distribution of wages within the range of ₹15 to ₹19.99.