All are true regarding Normal distribution curve except
**Core Concept**
The normal distribution curve, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In a normal distribution, the mean, median, and mode are all equal, and the curve is bell-shaped.
**Why the Correct Answer is Right**
The normal distribution curve has several key properties, including that the majority of the data points fall within one standard deviation of the mean, and that the curve is symmetric about the mean. This symmetry means that the left and right sides of the curve are mirror images of each other. The normal distribution is often used to model real-world phenomena, such as the heights of people or the scores on a test.
**Why Each Wrong Option is Incorrect**
* **Option A:** The statement that the normal distribution curve is skewed to the right is incorrect because the normal distribution is symmetric about the mean, meaning that it is not skewed in either direction.
* **Option B:** The statement that the normal distribution curve has a single peak is incorrect because the normal distribution curve has a single peak at the mean, but it also has tails that extend infinitely in both directions.
* **Option C:** The statement that the normal distribution curve is a perfect rectangle is incorrect because the normal distribution curve is a continuous, smooth curve that is not a perfect rectangle.
* **Option D:** This option is not provided, but based on the context, it is likely that it would be incorrect as well.
**Clinical Pearl / High-Yield Fact**
The 68-95-99.7 rule, also known as the empirical rule, states that in a normal distribution, about 68% of the data points fall within one standard deviation of the mean, about 95% fall within two standard deviations, and about 99.7% fall within three standard deviations.
**Correct Answer: A. The statement that the normal distribution curve is skewed to the right is incorrect because the normal distribution is symmetric about the mean, meaning that it is not skewed in either direction.**