Statistics
Example
Problem
What is the
Z-Score?
What % did they beat & What % beat them?
Calculating
Standard
Deviation
100

This represents how many numbers there are in a data set.

What is n?

100

2, 3, 5, 6, 7, 7, 9, 11

find n

What is 8?

100

Tommy is one std. dev. below the mean.

What is -1, negative one?

100

Using Tommy’s z-score of -1

What is he beat 16% and 84% beat him?

100

Step one to solving for standard deviation

What is (x-m)?

200

The value that appears the most often.

What is the mode?

200

2, 3, 5, 6, 7, 7, 9, 11

find the mode

What is 7?

200

Sara is two std. dev. above the mean.

What is +2, positive two?

200

Using Sara’s z-score of +2

What is she beat 98% and 2% beat her?

200

Step two to solving for standard deviation

What is (x-m)2?

300

The difference between the largest and smallest value.

What is the range?

300

2, 3, 5, 6, 7, 7, 9, 11

find the range

What is 9 or 2 through 11?

300

Mikey is two std. dev. below the mean.

What is -2, negative two?

300

Using Mikey’s z-score of -2

What is he beat 2% and 98% beat him?

300

Step three to solving for standard deviation

What is finding the sum of squares?

400

The middle value, the midpoint of the data when arranged in order.

What is the median?

400

2, 3, 5, 6, 7, 7, 9, 11

find the median

What is 6.5?

400

Amy is one std. dev. above the mean.

What is +1, positive 1?

400

Using Sara’s z-score of +1

What is she beat 84% and 16% beat her?

400

Step four to solving for standard deviation

What is dividing the sum of squares by n and getting the VARIANCE?

500

All data points added up and divided by the total amount of numbers.

What is the mean?

500

2, 3, 5, 6, 7, 7, 9, 11

find the mean

What is 6.25?

500

Ronnie is at the mean score.

What is 0?

500

Using Ronnie’s z-score of 0

What is he beat 50% and 50% beat him?

500

Step five to solving for standard deviation

What is square rooting the variance?