In a bimodal series, if mean is 2 and median is 3, what is the mode ?
**Core Concept**
The question involves understanding the relationship between measures of central tendency, specifically in a bimodal distribution. A **bimodal distribution** is a type of distribution where two distinct peaks are observed, indicating two modes. The **mean**, **median**, and **mode** are measures of central tendency.
**Why the Correct Answer is Right**
In a bimodal series, the mean can be skewed by extreme values, the median represents the middle value, and the mode is the value that appears most frequently. Given the mean is 2 and the median is 3, we can infer that the distribution is asymmetric. The mode, being the most frequently occurring value, would likely be higher than the mean if the distribution is skewed to the right, which seems to be the case here given the median is higher than the mean.
**Why Each Wrong Option is Incorrect**
**Option A:** This option does not directly relate to the typical relationship between mean, median, and mode in a bimodal distribution.
**Option B:** Without specific values or a formula, this option is too vague to be correct.
**Option C:** This option might seem plausible but doesn't directly address the relationship between the given mean, median, and the mode in a bimodal distribution.
**Clinical Pearl / High-Yield Fact**
In statistics, especially for exams like NEET PG, USMLE, AIIMS, and FMGE, remembering that the mode is the value that appears most frequently and that in a bimodal distribution, there are two such values, is crucial. Understanding how mean, median, and mode relate in different types of distributions can help in solving problems.
**Correct Answer:** Correct Answer: C. 3