F What are the primary advantages of the Standard Normal Distribution that other

Question

F

What are the primary advantages of the Standard Normal Distribution that other normal distributions do not have?

&

Find the standard z-score that corresponds to the following:

Eighty percent of the distribution is below (to the left of) this value.

F

What are the primary advantages of the Standard Normal Distribution that other normal distributions do not have?

&

Find the standard z-score that corresponds to the following:

Eighty percent of the distribution is below (to the left of) this value.

Explanation / Answer

The primary advantage of standard normal distribution is -

The standard normal distribution normalizes the data by changing all the raw data points into data points that tells us how many standard deviations the raw data points lie away from the mean. So, regardless of the magnitude of raw data points , the standardization makes comparison of multiple sets of data easier.

The standars Z-score that corresponds to the value below which 80% of the distribition is, is-

we use standard normal table or Z-table for this

P( z < 0.845 ) = 0.8 (80%) so the Z-score that corresponds to 80% of the distribution below a random variable X is 0.845

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