Download presentation

Presentation is loading. Please wait.

Published byRoderick Livesey Modified over 2 years ago

1
Z SCORES MA2D3

2
Recall: Empirical Rule 68% of the data is within one standard deviation of the mean 95% of the data is within two standard deviations of the mean 99.7% of the data is within three standard deviations of the mean 2 68% 95% 99.7%

3
Example IQ Scores are Normally Distributed with N(110, 25) Complete the axis for the curve 68% 95% 99.7% 110 135 160 185 85 60 35

4
Example What percent of the population scores lower than 85? 68% 95% 99.7% 110 135 160 185 85 60 35 16%

5
Example What percent of the population scores lower than 100? 68% 95% 99.7% 110 135 160 185 85 60 35 100

6
Z Scores The z score tells you how many standard deviations the x value is from the mean The axis for the Standard Normal Curve: 01 2 3 -2 -3

7
Z Score Table: The table will tell you the proportion of the population that falls BELOW a given z-score. The left column gives the ones and tenths place The top row gives the hundredths place What percent of the population is below.56?.7123 or 71.23%

8
Z Score Table: The table will tell you the proportion of the population that falls BELOW a given z-score. The left column gives the ones and tenths place The top row gives the hundredths place What percent of the population is below.4?.6554 or 65.54%

9
Practice: Use your z score table to find the percent of the population that fall below the following z scores: 1. 2.01 2. 3.39 3. 0.08 4. -1.53 5. -3.47 1. 97.78% 2. 99.97% 3. 53.19% 4. 6.30% 5..03%

10
Using the z score table You can also find the proportion that is above a z score Subtract the table value from 1 or 100% Find the percent of the population that is above a z score of 2.59 1-.9952.0048 or.48% Find the percent of the population that is above a z score of -1.91 1-.0281.9719 or 97.19%

11
Using the z score table You can also find the proportion that is between two z scores Subtract the table values from each other Find the percent of the population that is between.27 and 1.34.9099-.6064.3035 or 30.35% Find the percent of the population that is between -2.01 and 1.89.9706-.0222.9484 or 94.84%

12
PRACTICE WORKSHEET

13
Z Scores

14
Practice: Convert the following IQ Score N(110, 25) to z scores: 1. 100 2. 125 3. 75 4. 140 5. 45 1. -.4 2..6 3. -1.4 4. 1.2 5. -2.6

15
Application 1

16
Application 2

17
Application 3

18
PRACTICE WORKSHEET

Similar presentations

OK

Schutzvermerk nach DIN 34 beachten 05/04/15 Seite 1 Training EPAM and CANopen Basic Solution: Password * * Level 1 Level 2 * Level 3 Password2 IP-Adr.

Schutzvermerk nach DIN 34 beachten 05/04/15 Seite 1 Training EPAM and CANopen Basic Solution: Password * * Level 1 Level 2 * Level 3 Password2 IP-Adr.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on biodegradable and nonbiodegradable Ppt on age of exploration Ppt on magnetic field lines class 10 Ppt on shell scripting training Ppt on solid dielectrics and waves Ppt on porter's five forces analysis of amazon Mp ppt online form 2014 Ppt on our mother earth Ppt on information technology act 2008 Download ppt on maths in our daily life