What are the variables at the center of a Gaussian distribution problem?

In summary, the conversation is discussing the concept of the "center" of a distribution and how it can be measured using mean, median, and mode. The speaker is also wondering how to find out this information and if there is a question in the original statement.
  • #1
recoil33
28
0
Q.

(Something), (Something) and (Something) is at the centre of distribution.(bell curve)

The mean? And i don't know - I've read through my maths book(s) and several other sources of information and can not find any information.

Thanks.
 
Physics news on Phys.org
  • #2


And how are we supposed to find out what (Something) is? And is there
a question in there?
 
  • #3


Three common measures for the "center" of a distribution are mean, median, and mode. Perhaps this is referring that for an unskewed normal distribution they are all the same?
 
  • #4


willem2 said:
And how are we supposed to find out what (Something) is? And is there
a question in there?

Willem2, You see that 'Q' at the start of the thread, that means Question! He means that at the centre of a normal distribution bell curve, there are three pieces of information that are avaliable to be found out by using just the middle of this curve. i.e. 'Something,Something and Something' these are just stating that there are three variables he is trying to figure out.
 

1. What is a Gaussian distribution?

A Gaussian distribution, also known as a normal distribution, is a type of probability distribution that is often used to describe natural phenomena such as human height or IQ scores. It is characterized by a bell-shaped curve and is symmetric around the mean.

2. How is a Gaussian distribution calculated?

A Gaussian distribution is calculated using a mathematical formula called the Gaussian function, which takes into account the mean and standard deviation of a dataset. The formula is (1/σ√2π) * e^(-1/2((x-μ)/σ)^2), where σ is the standard deviation and μ is the mean.

3. What is the significance of a Gaussian distribution?

A Gaussian distribution is significant because it is a very common and important type of probability distribution. It is used in many fields, including statistics, mathematics, physics, and social sciences, to model and analyze data.

4. What are the properties of a Gaussian distribution?

The properties of a Gaussian distribution include symmetry, with the mean, median, and mode all being equal; the total area under the curve is equal to 1; and the curve approaches but never touches the x-axis, meaning there is always a nonzero probability for any value on the x-axis.

5. How is a Gaussian distribution used in real-world applications?

A Gaussian distribution is used in many real-world applications, such as predicting stock market movements, analyzing weather patterns, and determining the probability of rare events. It is also used in quality control to determine if a product meets certain specifications and in genetics to study the distribution of traits within a population.

Similar threads

  • Precalculus Mathematics Homework Help
Replies
8
Views
2K
  • Calculus and Beyond Homework Help
Replies
1
Views
562
Replies
4
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
1
Views
1K
  • Other Physics Topics
Replies
5
Views
1K
  • Calculus and Beyond Homework Help
Replies
4
Views
1K
  • Biology and Medical
Replies
4
Views
2K
  • Precalculus Mathematics Homework Help
Replies
9
Views
3K
  • Special and General Relativity
Replies
2
Views
878
  • MATLAB, Maple, Mathematica, LaTeX
Replies
1
Views
2K
Back
Top