Angronius of Nuceria has a height of 105 inches. The mean height for all World Eaters Legion soldiers is 96.5 inches and the standard deviation of the World Eaters Legion soldiers heights is 3.6 inches.

What is the z score for Angronius's height? Round to the nearest hundredth.

Must show work to receive full credit!

What is the meaning of the Z-Score you found in Problem 1? Explain how Angronius compares to the normal World Eaters soldier.

Z-score=2.361

Hence Angronius height about 2.3 S.D above the Eaters Legion soldiers

Step-by-step explanation:

Given:

Angronius's mean =105 inches

Eaters  Legion soldiers mean =96.5 inches.

S.D for Eaters  Legion soldiers =3.6

To Find:

What is the z score for Angronius's height

Solution:

Here z-score indicate the value of data above or below the given value hence ,it determines the given data lies how many S.D above the mean or below the mean

Z- score tell that How many S.D  your data is away from mean.

So

Z-score for Angronius =105-96.5/3.6

=8.5/3.6

=2.366

Hence it  tells that Angronius height about 2.3 S.D above the Eaters Legion soldiers

i.e 2.36*3.6= 8.5 above the Eaters Legion soldiers height

i.e 105 -96.5 =8.5

This value represents how many S.D did angronius are above the height of Eaters Legion Soldiers.

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