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Discuss how the standard normal distribution, Z, lets you compare apples to oranges.

Discuss how the standard normal distribution, Z, lets you compare apples to oranges.

Math   Statistics-And-Probability   
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Discuss how the standard normal distribution, Z, lets you compare apples to oranges.

The standard normal distribution, Z, lets you compare apples to oranges.

Suppose we are interested in comparing heights and weights students just comparing the raw values of these 2 variables is meaningless becase the 2 variables the 2 variables are having different units .

Suppose we transform these 2 variables to Standard Normal distribution Z using the formula:

then the heights and weights variables are made dimensioless and meaningful comparison is possible .

This is similar to comparing organges to apples after making them dimensionless.

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