Measure of dispersion in normal distribution from mean is known as
**Core Concept**
In statistics, the normal distribution 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. The measure of dispersion in a normal distribution from the mean is crucial in understanding the spread of data.
**Why the Correct Answer is Right**
The correct measure of dispersion in a normal distribution from the mean is the standard deviation (SD). The standard deviation is the square root of the variance, which is the average of the squared differences from the mean. This measure of dispersion is essential in understanding the spread of data in a normal distribution, as it provides a sense of the amount of variation or dispersion from the mean.
**Why Each Wrong Option is Incorrect**
* **Option A:** The range is not a measure of dispersion in a normal distribution from the mean. It is the difference between the highest and lowest values in a dataset, and it does not take into account the distribution of data around the mean.
* **Option B:** The interquartile range (IQR) is a measure of dispersion, but it is not specific to normal distributions. It is the difference between the 75th percentile (Q3) and the 25th percentile (Q1), and it is used to describe the spread of data in a dataset.
* **Option C:** The coefficient of variation is a measure of relative dispersion, which is the ratio of the standard deviation to the mean. While it is related to the standard deviation, it is not the direct measure of dispersion from the mean.
**Clinical Pearl / High-Yield Fact**
The standard deviation is a crucial measure of dispersion in normal distributions, and it is used in many statistical tests, such as the z-test and the t-test.
**Correct Answer:** . Standard deviation.