1. Alyson Lecturer’s desk Chris Flo Jun Trey Projection Booth Screen
Row A 15 14
Row A 13 3 2 1
Row A
Chris
Row B 23 20
Row B 19 5 4
3 2 1
Row B
Row C 25 21
Row C 20 6 5 1
Row C
Row D 29 23
Row D 22 8 7 1
Row D
Row E 31 23
Row E 23 9 8 1
Row E
Flo
Row F 35 26
Row F 25 11 10 1
Row F
Row G 35 26
Row G 25 11 10 1
Row G
Row H 37 28 27 13
Row H 12 1
Row H 41 29 28 14 1
Row J
Row J 13 41 29
Row K 28 14 13 1
Row K
Row L 33 25
Row L 24 10 9 1
Row L
Row M 21 20 19
Row M 18 4 3 2 1
Row M
Row N 15 1
Row P 15 1
Jun
Trey
table 14 13 12 11 10 9 8 7 6 5 4 3 2 1
Projection Booth
Left handed desk
Harvill 150
renumbered

2. Even if you have not yet registered your clicker you can still participate..
The
Green
Sheets

3. Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2018 Room 150 Harvill Building 10: :50 Mondays, Wednesdays & Fridays.
Welcome

4. Labs continue next week
Lab sessions
Everyone will want to be enrolled
in one of the lab sessions
Labs continue next week

5. Schedule of readings Before next exam (September 21)
Please read chapters in OpenStax textbook
Please read Appendix D, E & F online On syllabus this is referred to as online readings 1, 2 & 3
Please read Chapters 1, 5, 6 and 13 in Plous
Chapter 1: Selective Perception
Chapter 5: Plasticity
Chapter 6: Effects of Question Wording and Framing
Chapter 13: Anchoring and Adjustment

8. Review of Homework Worksheet
Each of these are deviation scores
3 – 5 = -2
-22= 4
6 – 5 = +1 -2 1 3 -1 4 1 9
12= 1 3 -3 -1 1 9 1
Σ(x - µ) = 0 50 36 36 2
= 2
10 - 1
This is the standard deviation! 5 4
4.5 2 8 6

9. Overview Frequency distributions
The normal curve
Mean, Median,
Mode, Trimmed Mean
Standard deviation,
Variance, Range
Mean Absolute Deviation
Skewed right, skewed left
unimodal, bimodal, symmetric
Review

10. How far away is each score from the mean?
Diallo is 0”
Mike is -4”
Hunter is -2
Shea is 4
David is 0”
Preston is 2”
Deviation scores
(x - µ)
Deviation scores: The amount by which observations
deviate on either side of their mean
(x - µ)
How far away is each score from the mean?
Mean
Diallo
Deviation
score
Mike
Preston
Shea
(x - µ) = ?
Hunter
Mike
5’8” ’0” = - 4”
5’9” ’0” = - 3”
5’10’ - 6’0” = - 2”
5’11” - 6’0” = - 1”
6’0” ’0 = 0
6’1” ’0” = + 1”
6’2” ’0” = + 2”
6’3” ’0” = + 3”
6’4” ’0” = + 4”
Diallo
How do we find each deviation score?
(x - µ)
Preston
Hunter
Diallo
Mike
Preston
Find distance of each person from the mean (subtract their score from mean)
Review

11. How far away is each score from the mean?
Diallo is 0”
Mike is -4”
Hunter is -2
Shea is 4
David is 0”
Preston is 2”
Deviation scores
(x - µ)
Deviation scores: The amount by which observations
deviate on either side of their mean
(x - µ)
How far away is each score from the mean?
Mean
Diallo
Deviation
score
Preston
Shea
(x - µ) = ?
Mike
5’8” ’0” = - 4”
5’9” ’0” = - 3”
5’10’ - 6’0” = - 2”
5’11” - 6’0” = - 1”
6’0” ’0 = 0
6’1” ’0” = + 1”
6’2” ’0” = + 2”
6’3” ’0” = + 3”
6’4” ’0” = + 4”
Remember
It’s relative
to the mean
Based on difference from the mean
Review

12. How far away is each score from the mean?
Standard deviation: The average amount by which
observations deviate on either side of their mean
Deviation scores
(x - µ)
Diallo is 0”
Preston is 2”
How far away is each score from the mean?
Mike is -4”
Hunter is -2
Shea is 4
Mean
David is 0”
Add up
Deviation scores
Diallo
Preston
Σ (x - µ) = ?
Shea
Mike
5’8” ’0” = - 4”
5’9” ’0” = - 3”
5’10’ - 6’0” = - 2”
5’11” - 6’0” = - 1”
6’0” ’0 = 0
6’1” ’0” = + 1”
6’2” ’0” = + 2”
6’3” ’0” = + 3”
6’4” ’0” = + 4”
How do we find the average height? N Σx
= average height
How do we find the average spread?
Σ(x - x) = 0
Σ(x - µ) N
= average deviation
Σ(x - µ) = 0
Review

13. How far away is each score from the mean?
Standard deviation: The average amount by which
observations deviate on either side of their mean
Deviation scores
(x - µ)
Diallo is 0”
Preston is 2”
How far away is each score from the mean?
Mike is -4”
Hunter is -2
Shea is 4
Mean
David is 0”
Diallo
Preston
Σ (x - µ) = ?
Shea
Mike
5’8” ’0” = - 4”
5’9” ’0” = - 3”
5’10’ - 6’0” = - 2”
5’11” - 6’0” = - 1”
6’0” ’0 = 0
6’1” ’0” = + 1”
6’2” ’0” = + 2”
6’3” ’0” = + 3”
6’4” ’0” = + 4”
Square the deviations
Big problem
Σ(x - x) 2 2
Σ(x - x) = 0
Σ(x - µ) N
Σ(x - µ) 2
Σ(x - µ) = 0
Review

14. How far away is each score from the mean?
Standard deviation: The average amount by which
observations deviate on either side of their mean
Deviation scores
(x - µ)
Diallo is 0”
Preston is 2”
How far away is each score from the mean?
Mike is -4”
Hunter is -2
Shea is 4
Mean
Step 1
Find the mean
David is 0”
Diallo
Step 2
Find each deviation score
Preston
Σ (x - µ) = ?
Shea
Mike
5’8” ’0” = - 4”
5’9” ’0” = - 3”
5’10’ - 6’0” = - 2”
5’11” - 6’0” = - 1”
6’0” ’0 = 0
6’1” ’0” = + 1”
6’2” ’0” = + 2”
6’3” ’0” = + 3”
6’4” ’0” = + 4”
Step 3
Square each deviation score
And add them up
Step 4
Divide by n and take square root
Σ(x - x) 2 2
Σ(x - x) = 0
Σ(x - µ) N
Σ(x - µ) 2
Σ(x - µ) = 0
Review

15. How far away is each score from the mean?
Standard deviation: The average amount by which
observations deviate on either side of their mean
Deviation scores
(x - µ)
Diallo is 0”
Preston is 2”
How far away is each score from the mean?
Mike is -4”
Hunter is -2
Shea is 4
Mean
Step 1
Find the mean
David is 0”
Diallo
Step 2
Find each deviation score
Preston
Σ (x - µ) = ?
Shea
Remember, it’s relative to the mean
Mike
5’8” ’0” = - 4”
5’9” ’0” = - 3”
5’10’ - 6’0” = - 2”
5’11” - 6’0” = - 1”
6’0” ’0 = 0
6’1” ’0” = + 1”
6’2” ’0” = + 2”
6’3” ’0” = + 3”
6’4” ’0” = + 4”
Step 3
Square each deviation score
And add them up
Based on difference from the mean
Step 4
Divide by n and take square root
Σ(x - x) 2 2
Σ(x - x) = 0
Σ(x - µ) N
Σ(x - µ) 2
Σ(x - µ) = 0
Review

16. You know by heart – you’ve memorized
Standard deviation: The average amount by which
observations deviate on either side of their mean
“Sum of Squares”
You know by heart – you’ve memorized
these formula

17. You know by heart – you’ve memorized
Standard deviation: The average amount by which
observations deviate on either side of their mean
“degrees of freedom”
You know by heart – you’ve memorized
these formula

18. What do these two formula have in common?
Standard deviation: The average amount by which observations
deviate on either side of their mean
What do these two formula have in common?
Review

19. What do these two formula have in common?
Standard deviation: The average amount by which observations
deviate on either side of their mean
What do these two formula have in common?
Review

20. How do these formula differ?
Standard deviation: The average amount by which observations
deviate on either side of their mean
“n-1” is
Degrees of Freedom”
How do these formula differ?
Review

21. Raw scores, z scores & probabilities
Please note spatially where 1 standard deviation falls on the curve

22. Raw scores, z scores & probabilities
Please note spatially where 1 standard deviation falls on the curve
68%
95%
99.7%

23. These would be helpful to know by heart – please memorize areas
1 sd above and below mean
68%
2 sd above and below mean
95%
3 sd above and below mean
99.7%
These would be helpful to know by heart – please memorize areas

24. Summary of 7 facts to memorize

26. Writing Assignment
– Pop Quiz

27. Writing Assignment
– Pop Quiz

28. Writing Assignment – Pop Quiz Distance from the mean X Taller 2 inches
Preston is 2” taller than the mean (taller than most)
Taller
2 inches
Shorter X
Mike is 4” shorter than the mean (shorter than most)
Shorter
4 inches
Taller X
Equal to mean
Diallo is exactly same height as mean (half taller half shorter)
0 inches
Half are Shorter

29. Writing Assignment – Pop Quiz Sigma – standard deviation - population
Parameter
mu – a mean – an average - population
Parameter
x-bar – a mean – an average - sample
statistic
s – standard deviation - sample
statistic
The number of “standard deviations” the score is from the mean
population
Sigma squared and s squared - variance
Sigma is parameter (population) s is statistic (sample)
Deviation scores
(x-µ) for population (parameter) (x-x) is statistic (sample)
Sum of squares
On left is statistic on right is parameter
Standard deviation
s is statistic sigma is parameter
Degrees of freedom
sample

30. Thank you!
See you next time!!