For a sample data, the mean is $60$ and the median is $48$. Using the formula $$ ext{Mode} = 3 imes ext{Median} - 2 imes ext{Mean}$$, find the mode of the distribution.

Question

For a sample data, the mean is $60$ and the median is $48$. Using the formula $$	ext{Mode} = 3 	imes 	ext{Median} - 2 	imes 	ext{Mean}$$, find the mode of the distribution.

Accepted Answer

**Solution:**

1. Given:
   - Mean = $60$
   - Median = $48$

2. Use the empirical formula for mode:
   $$	ext{Mode} = 3 	imes 	ext{Median} - 2 	imes 	ext{Mean}$$

3. Substitute the values:
   $$	ext{Mode} = 3 	imes 48 - 2 	imes 60 = 144 - 120 = 24$$

**Answer:** The mode of the distribution is $24$.

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