The medium of an ungrouped data and the median calculated when there same data is grouped are always the same. Do you think that this is a correct statement? Give reason.

Explanation

To determine whether the statement "the median of an ungrouped data and the median calculated when the same data is grouped are always the same" is correct, we need to analyze the definitions and calculations of the median in both cases.

### Step-by-Step Solution:

1. **Understanding the Median of Ungrouped Data**:
- For ungrouped data, the median is the middle value when the data is arranged in ascending order.
- If the number of observations (n) is odd, the median is the value at the position \((n + 1)/2\).
- If n is even, the median is the average of the values at the positions \(n/2\) and \((n/2) + 1\).
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