## **Core Concept**
In a bimodal series, the distribution has two peaks or modes. The relationship between the mean, median, and mode can be described by the empirical formula: Mode = 3(Median) - 2(Mean). This formula is useful in estimating the mode when the mean and median are known.
## **Why the Correct Answer is Right**
Given that the mean is 2 and the median is 3, we can substitute these values into the empirical formula to find the mode. Mode = 3(Median) - 2(Mean) = 3(3) - 2(2) = 9 - 4 = 5. Therefore, the mode is 5, which corresponds to option .
## **Why Each Wrong Option is Incorrect**
- **Option A:** This option is incorrect because it does not match the calculation using the empirical formula.
- **Option B:** This option is incorrect as it also does not align with the calculated mode of 5.
- **Option C:** This option is incorrect for the same reason; it does not correspond to the mode calculated using the given mean and median.
## **Clinical Pearl / High-Yield Fact**
A key point to remember is the empirical relationship between mean, median, and mode: Mode = 3(Median) - 2(Mean). This formula can be particularly useful in statistics and data analysis in medical research and epidemiology.
## **Correct Answer:** .
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