Z - Score - Sports Stats

Presentation

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSS.ID.A.4

Standards-aligned

Jessica DeWitt

Used 300+ times

FREE Resource

6 Slides • 12 Questions

Lesson 9.2

Z - Scores

What is a z-score and Why do we use it?

In order to compare different data sets we "standardize" the data so that is can be easily compared.
Z-scores of data sets can be compared to other data sets.

Multiple Choice

In the formula for z-score what does the x stand for?

the data point in question

the mean of the data set

the standard deviation of the data set

the mode

Multiple Choice

In the formula for z-score what does the symbol below stand for?

\mu

the data point in question

the mean of the data set

the standard deviation of the data set

the mode

Multiple Choice

In the formula for z-score what does the symbol below stand for?

\sigma

the data point in question

the mean of the data set

the standard deviation of the data set

the mode

Z- SCORES

They tell you how many Standard Deviations above or below the mean the given data point lies.
Positive z - The point is above the Mean
Negative z - The point is below the Mean
z is 0 - The point is the same as the mean.

Multiple Choice

If the z - score is 1.5 the data point ________ the mean.

above

below

the same as the mean

Multiple Choice

If the z - score is -1.5 the data point ________ the mean.

above

below

the same as the mean

Multiple Choice

If the z - score is 0 the data point ________ the mean.

above

below

the same as the mean

Example 1

A student has gotten tests back in two classes. What can you conclude?
The grade on the Math test was 82% the mean for the test 80 and the standard deviation 2.5.
The grade on the Spanish test was 79% the mean for the test 75 and the standard deviation 4.

Example 2

At a swim meet, a boy swam the 50 free in 29.52 seconds and 50 fly in 33.72. What can you conclude?
The average times for 50 free has a mean of 31.2 with SD 2.1
The average times for 50 fly has a mean of 39.11 with SD 3.7

Multiple Choice

When playing golf having a score with a negative z-score is better than a positive z-score.

True

False

Multiple Choice

When playing a Quizizz game having a score with a negative z-score is better than a positive z-score.

True

False

Multiple Choice

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

2.26

16.45

-2.26

1.26

Multiple Choice

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

0.77

5.33

1.07

1.26

Multiple Choice

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

-11.43

7.85

-2.33

4.16

Multiple Choice

Find the z-score.

Mean = 38

Standard Deviation: 1.2

x = 42

3.33

-3

3.03

-3.33

Lesson 9.2

Z - Scores

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