Shape of normal distribution curve?
**Core Concept**
Normal distribution, also known as 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 majority of the data points cluster around the mean, with fewer data points as you move further away from it.
**Why the Correct Answer is Right**
The normal distribution curve is characterized by its symmetrical bell shape, with the majority of the data points concentrated around the mean. This is due to the fact that the standard deviation (a measure of the amount of variation or dispersion from the average) is the same in both directions from the mean. The mean, median, and mode are all equal in a normal distribution, and the curve is asymptotic, meaning it approaches the x-axis but never touches it.
**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because a normal distribution curve is not typically skewed or asymmetrical.
**Option B:** This option is incorrect because a uniform distribution would have data points spread evenly across the range, rather than clustering around the mean.
**Option C:** This option is incorrect because a Poisson distribution is characterized by a discrete, countable number of events, rather than a continuous, bell-shaped curve.
**Clinical Pearl / High-Yield Fact**
A normal distribution is a fundamental concept in statistics and is commonly used to describe the distribution of many natural phenomena, such as human height, IQ scores, and blood pressure. Remember that the mean, median, and mode are all equal in a normal distribution, and that the curve is symmetrical around the mean.
**Correct Answer:** C. Bell-shaped curve