Following are some applications:-
1)Computing grades from test scores by using the bell curve to find the average.
2)Same applies to any other normally distrubuted quantity like height,weight etc.
• The normal distribution is a distribution that is
centered around an average value with an even
spread in both directions (standard deviation).
• This makes the distribution symmetrical!
• This symmetry causes the mean, median, and
mode to be the exact same value.
• Symmetry will come in handy when
calculating probabilities.
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The Normal distribution is frequntly encountered in real life. Often a matter of interest is how likely it is that the random variable (RV) being studied takes a value that it did or one that is more extreme. This requires a comparison of the observed value of the RV with its Normal distribution. Unfortunately, the general Normal distribution is extremely difficult to calculate. The Normal distribution is defined by two parameters: the mean and the variance (or standard deviation). It is impossible to tabulate the distribution of every possible combination of two parameters - both of which are continuous real numbers. However, using Z score reduces the problem to that of tabulating only one the Normal distribution: the N(0, 1) or standard Normal distribution. This allows the analysis of an RV with any Normal distribution.
The Normal or Gaussian distribution is a probability distribution which depends on two parameters: the mean and the variance (or standard deviation). In may real life situations measurements are found to be approximately normal. Furthermore, even if the underlying distribution of a variable is not normal, the mean of a number of repeated observations of the variable will approximate the normal distribution.The term "approximate" is important because, although the heights of adult males (for example) appear to be normally distributed, the true normal distribution must allow negative heights whereas that is not physically possible!
mean (average) temperature median income, mediian home prices, salary, etc. mode is the most likely occurence of an event. If the distribution of outcomes is symmetrical, then mean median mode
it isnt
The importance of statistics in you daily life can be seen in the decisions you make after interpreting data. For instance, you can know how much water to drink, how much food to eat and so much more.