Question

Question 1 (4 points)

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.
Show How you got the answer

Answer 1

z=2.36

Explanation:

(105 - 96.5) / 3.6=Z

(8.5)/3.6=z

2.36111=z

Answer 2

Z-score=2.361

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

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