If the median is 20 and each data is increased by 2, then new median is :

Question

Accepted Answer

When the median of a dataset is given as 20, it represents the middle value of the dataset when it is arranged in ascending order. If each data point in the dataset is increased by 2, the entire dataset shifts uniformly by 2 units. This means that every value, including the median, is increased by 2.

1. **Explanation for Option 1 (22):**  
   Since the original median is 20, and every data point is increased by 2, the new median will also increase by 2. Therefore, the new median becomes 20 + 2 = 22. This is why Option 1 is correct.

2. **Explanation for why other options are incorrect:**

- **Option 2 (18):**  
     This option suggests that the median decreases to 18. However, since each data point is increased by 2, the median cannot decrease. Therefore, this option is incorrect.

- **Option 3 (24):**  
     This option suggests that the median increases to 24. Since the increase is uniformly by 2, the median should only increase by 2, not by 4. Therefore, this option is incorrect.

- **Option 4 (20):**  
     This option suggests that the median remains unchanged at 20. However, since each data point is increased by 2, the median must also increase by 2. Therefore, this option is incorrect.

In conclusion, the correct answer is Option 1 (22), as it accurately reflects the increase in the median when each data point in the dataset is increased by 2.