Question

Give an example (scenario) of a situation when a normal distribution would be used including a graph representative of the results.

Answer 1

Solution:

The normal distribution in the most important probability distribution beacuse it fits to many natural phenomenon.For example height ,weight, temperature,income etc.It is also known as Gaussian distribution.

Since Normal distribution is symmetric about mean and it is bell shaped.Hence it describes how values are distributed.

The height of the population is normally distributed. The distribution of height follows certain.From the collected data we cam make inference about population.Also we can compare heights of males and females and many more.We can test the mean of samples against certain values using z test.

The parameters of normal distribution are mean and standard deviation which determines the shape of distribution. From graph given we can say that height of the most girls are close to averege. The distribution is symmetric i.e number of girls shorter than averege is equal to no girls taller than averege.