It is true to say that the mean, mode and median of grouped data always be different? Justify your answer.

Explanation

To determine whether the mean, mode, and median of grouped data are always different, we need to analyze the definitions and characteristics of these statistical measures.

### Step-by-Step Solution:

1. **Understanding Mean**:
- The mean (average) is calculated by summing all the observations and dividing by the number of observations.
- Formula: \( \text{Mean} = \frac{\text{Sum of all observations}}{\text{Number of observations}} \)

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