A meteorological office keeps records of the annual precipitation in different cities. For one city, the mean annual precipitation is 15.3 and the standard deviation of the annual precipitation amounts is 4.2. Let x represent the annual precipitation in that city. Determine the standardized version of x.

I have no idea how to do this, can anyone please help?

Question

A meteorological office keeps records of the annual precipitation in different cities. For one city, the mean annual precipitation is 15.3 and the standard deviation of the annual precipitation amounts is 4.2. Let x represent the annual precipitation in that city. Determine the standardized version of x.

I have no idea how to do this, can anyone please help?

anonymous · Answer

You mean standardizing to the normal distribution? Like 
$$Z = \frac{X - 15.3}{4.2}$$

anonymous · Answer

YES! Thank you, how did you do that?

anonymous · Answer

Take a look at this: http://en.wikipedia.org/wiki/Standard_score The general formula is $$Z = \frac{X - \mu}{\sigma}$$

anonymous · Answer

Thank you! That's so easy. You've effectively boosted my confidence in my Stats class. Lol.

anonymous · Answer

No worries, I find stats the hardest out of everything.

anonymous · Answer

Really? The most difficult thing for me thus far is understanding the terminology they decided to use for my course. It makes easy questions sound exceptionally tough.

anonymous · Answer

Find the standardized value when the annual precipitation in that city is 150.