Income Distribution
1. **Problem Statement:** We have monthly incomes (in thousands of BDT) of 9 employees: 22, 25, 27, 24, 30, 21, 100, 23, 26. We need to find the mean and median income and determine which measure better represents the typical income.
2. **Calculate the Mean:**
- Sum all incomes: $$22 + 25 + 27 + 24 + 30 + 21 + 100 + 23 + 26 = 298$$
- Count the number of employees: $$9$$
- Mean income $$= \frac{298}{9} \approx 33.11$$ thousand BDT.
3. **Calculate the Median:**
- Sort incomes in ascending order: $$21, 22, 23, 24, 25, 26, 27, 30, 100$$
- Median is the middle value for odd number of data points, i.e., the 5th value.
- Median income $$= 25$$ thousand BDT.
4. **Compare Mean and Median:**
- The mean $$\approx 33.11$$ thousand BDT is higher than the median $$25$$ thousand BDT due to the extremely high income of 100 thousand BDT, which is an outlier.
- The median better represents the typical income here because it is not affected by the outlier, while the mean is pulled higher.
**Final Answer:**
- Mean income = $$33.11$$ thousand BDT.
- Median income = $$25$$ thousand BDT.
- The median better represents the typical income because it is resistant to the outlier effect of the very high income.