The normal distribution or "Gaussian Bell": How to change your luck

The normal distribution or "Gaussian Bell": How to change your luck

The normal distribution is a continuous variable probability distribution that describes the data that is grouped around a central value. Any process where the values ​​change for random causes or chance, has normal distribution. This condition is frequent in natural phenomena (hence the name "normal"). The graphical representation is the normal distribution curve, also called bell of Gauss in honor of Carl Friedrich Gauss, who is wrongly attributed his invention and who used it frequently to analyze astronomical phenomena.

The normal distribution is the most known and used of all the distributions, it is the reference standard for many probability problems. Some applications in measurement, psychology, education (Each case will be developed later, with details and calculations).

(i) Determine the percentage of cases within limits, scores or given values.

(ii) Determine the percentage of cases that are above or below a given score, point or reference value.

(iii) Determine the limits of scores that include a given percentage of cases

(iv) Determine the percentile rank of a student in his group.

(v) Find out the percentile value of the percentile rank of a student.

(vi) Compare the two distributions in terms of overlap.

(vii) Determine the relative difficulty of the evidence, and

(viii) Divide a group into subgroups according to a certain capacity or ability and assign the corresponding qualification.

In practice, in general, you do not know the actual distribution of your population, but you can approximate it by a normal distribution with reasonable precision, relying on Lyapunov's Theorem or "Central Limit Theorem" (TLC). The justification lies in the randomness of the data, the presence of many independent factors and the size of the sample (30 or more). With more correction, instead of the theoretical verification of its distribution, a normality test is applied to see if the approximation to normality from the sample is possible.

This procedure is very useful when you do not know the mean or variance of a population and you have to make an estimate from the statistics of the samples. By NAFTA, the distribution of sample means of a population of a sufficiently large size (30 or more elements) follows a normal distribution, regardless of the population distribution.

The psychologist Mónica Ferrero affirms that depression is NOT a disease, but a DECISION. When we have some misfortune (the loss of a loved one, a broken relationship, the loss of a job), it is normal and necessary to be sad for a while; before any loss it is necessary to "elaborate the duel", "to cross that pain" in order to overcome it and grow from it.

Sadness is often associated with depression. There is depression if the sadness lasts at least six months; besides the "resignation, the abandonment". Depression is diagnosed when the person "throws in the towel", surrenders and "renounces life". And that is a decision. No one is guilty of something painful happening in their life and feeling sad, but they can decide what to do, so they have two options, face the problem or surrender. With this decision, growth is chosen from adversity, or the collapse and fall in depression.

Every action, however small it may seem, that remembers life before the nefarious incident, becomes the best antidepressant. The brain starts forming endorphins and substances similar to antidepressants. Perhaps in two weeks, the brain no longer believes that it is depressed, regains the desire to do things and the desire to "live".

In other activities or situations, in the normal curve, you jump from the left end to the right. It is a quantum leap, which requires changing points of view in a radical way. Do not worry about the rest, it's you who change and find the most comfortable space

References

SUPERAR LA DEPRESIÓN SIN FÁRMACOS

http://www.monicaferrera.es/superar-la-depresion-sin-farmacos/