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What is normal? Can you think of where you see the normal distribution in your day...

What is normal?

Can you think of where you see the normal distribution in your day to day life? Suppose we collect data on the height of all of us in this class. What would the graph look like? Would it be bell-shaped?

The normal distribution is vital to statistical analysis, being fully defined by the mean and standard deviation. All normal curves have the same general shape. 68% of the total area under the curve is from +1 to -1 standard deviation (according to the Empirical Rule). Would 68% of us be within one standard deviation? How many would we need for a sample size to be considered normal?

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Answer #1

The distribution of marks of the students in class is normal distribution.

For the data of height, the graph is bell shaped because at the middle average height is more frequent and on the both side it will be decreasing.

Yes, 68% of us would be within one standard deviation.

Minimum 30 sample size is needed to be considered normal because any distribution for sample size more than 30 tends to normal.

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