ptlnguyen said:Homework Statement
Given:
Standard Deviation = 500
Homework Equations
How I calculate the μ (mean) using standard deviation for a norma distribution. Thanks.
The Attempt at a Solution
A normal distribution is a type of probability distribution that is symmetrical and bell-shaped. It is often used to model natural phenomena such as height, weight, and test scores.
The mean for a normal distribution can be calculated by adding all of the data points together and dividing by the total number of data points. It can also be found by multiplying the median by 2 and subtracting the mode.
The mean is significant in a normal distribution because it represents the central tendency of the data. It is often used as a measure of the average or expected value of the data.
If the data is skewed in a normal distribution, the mean will shift towards the direction of the skewness. For example, if the data is positively skewed, the mean will increase, and if the data is negatively skewed, the mean will decrease.
No, the mean cannot be used to measure the spread of data in a normal distribution. The standard deviation is a better measure of the spread as it takes into account how far each data point is from the mean.