Z - Scores

The concept

Let's Look at the Physics Test!

n We know its mean is 50.

n The Standard Deviation is calculated to be 10 (someone used their calculator).

n Remember the SD is the distance from the Mean from to the Point of Inflection (change in direction of the curve)

The 4th Big Idea!!

What's our Physics Freak Roommate's Z - score

And Why is She Happy!

1. The roommate's score is 10 points above the mean or one SD above the mean.

2. Her Z - Score Equals 1 because:

Z = (Score - Mean)/SD

Z = (60 - 50) / 10

Z = 1

3. Let's do it again! The student down the hall runs in to our gang's room. She yells - I got a 84!! Yahoo!

2. Her Z - Score Equals 3.4 because:

Z = (Score - Mean)/SD

Z = (84 - 50) / 10

Z = 3.4

This is a bright young person. Let's look at the Z-Score ruler on the Normal Curve. She gets a very big happy face

She's done better than almost
everyone in the class!