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Answer the questions as instructed .
Empirical formla of Mode = 3 Median - ……..

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To solve the question regarding the empirical formula of mode, we need to fill in the blank in the equation: **Empirical formula of Mode = 3 Median - ...** ### Step-by-Step Solution: 1. **Understand the relationship**: We start with the known relationship between mode, median, and mean. The empirical relationship is given as: \[ \text{Mode} = 3 \times \text{Median} - k \times \text{Mean} \] where \( k \) is a constant that we need to determine. 2. **Rearranging the formula**: From the video transcript, we see that the relationship can be rearranged to express mode in terms of median and mean: \[ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \] 3. **Identifying the blank**: Now we can fill in the blank in the original equation: \[ \text{Empirical formula of Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \] 4. **Final answer**: Therefore, the blank should be filled with \( 2 \times \text{Mean} \). ### Conclusion: The complete empirical formula of mode is: \[ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \]
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