Highest mean and lowest mode indicates:
**Core Concept**
The question is testing the understanding of skewness in a distribution. Skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable. It can be either positive, negative, or zero. In a perfectly symmetrical distribution, the mean, median, and mode are all equal.
**Why the Correct Answer is Right**
The correct answer is related to the concept of skewness, where the mean is higher than the median, indicating a positive skewness. This means that the distribution is asymmetrically distributed to the right, with a longer tail on the right side. The mode is the value that appears most frequently in the distribution, and in this case, it is the lowest value, indicating that the majority of the data points are concentrated around the lower end of the distribution.
**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it does not describe the relationship between the mean and mode.
**Option B:** This option is incorrect because it is describing the opposite of what is being asked.
**Option C:** This option is incorrect because it does not accurately describe the relationship between the mean and mode in a skewed distribution.
**Clinical Pearl / High-Yield Fact**
When interpreting data, it's essential to consider the concept of skewness and how it affects the mean, median, and mode. A positively skewed distribution can be identified by the presence of extreme values on the right side, which can lead to an inflated mean.
**Correct Answer: D. Highest mean and lowest mode indicates a positively skewed distribution.**