Central tendency spread - symmetry (2.0)

1. Central Tendency, Spread, or Symmetry Central Tendency, Spread, or Symmetry?

2. Before discussing these three options, it is important to understand what a distribution of scores or observations is. If you need to learn what a distribution is – go to slide 19, and then return to slide 3.

3. Now you are ready to decide if your question deals with Central Tendency, Spread, or Symmetry Central Tendency, Spread, or Symmetry? Slide 3

4. A question deals with CENTRAL TENDENCY when the focus is on some measure of centeredness in a distribution of scores.

5. A question deals with CENTRAL TENDENCY when the focus is on some measure of centeredness in a distribution of scores. Look for words like, average, mean, median, most common, center point etc.

6. A question deals with SPREAD when the focus is on some measure of dispersion, spread, or distance in a distribution of scores.

7. A question deals with SPREAD when the focus is on some measure of dispersion, spread, or distance in a distribution of scores. Look for words like, spread, difference, range, how much scores vary, deviation, etc.

10. A question deals with SYMMETRY when the focus is on some measure of how the distribution of scores are shaped.

11. A question deals with SYMMETRY when the focus is on some measure of how the distribution of scores are shaped. When the distribution is peaked in the middle with gradually decreasing values to the left and increasing values to the right it is considered a normal distribution.

12. A question deals with SYMMETRY when the focus is on some measure of how the distribution of scores are shaped. When the distribution is peaked in the middle with gradually decreasing values to the left and increasing values to the right it is considered a normal distribution.

13. A question deals with SYMMETRY when the focus is on some measure of how the distribution of scores are shaped. When most of the scores in the distribution cluster together with a few to the extreme right, this is called a skewed RIGHT distribution or a POSITIVELY skewed distribution.

14. A question deals with SYMMETRY when the focus is on some measure of how the distribution of scores are shaped. When most of the scores in the distribution cluster together with a few to the extreme right, this is called a skewed RIGHT distribution or a POSITIVELY skewed distribution.

15. A question deals with SYMMETRY when the focus is on some measure of how the distribution of scores are shaped. When most of the scores in the distribution cluster together with a few to the extreme LEFT, this is called a skewed LEFT distribution or a NEGATIVELY skewed distribution.

16. A question deals with SYMMETRY when the focus is on some measure of how the distribution of scores are shaped. Questions can also deal with distributions with scores equally distributed or most of the scores in the middle

17. Does your question deal with - Central Tendency – (average, mean, center) Spread – (difference, vary, range) or Symmetry – (shape)? Central Tendency, Spread, or Symmetry?

18. End of Presentation Central Tendency, Spread, or Symmetry?

19. What is a Distribution?

20. We will illustrate what a distribution is with a data set that describes the hours students’ study

21. Here is the data set:

22. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5

23. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Data

24. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Data Set

25. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 From this data set we will create a distribution:

26. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5

27. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 The X Axis, will be the number of hours of study

28. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Hours of Study 1 2 3 4 5

29. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Hours of Study 1 2 3 4 5

30. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Hours of Study 1 2 3 4 5 The Y Axis, indicates the number of times the same number occurs

36. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Hours of Study 1 2 3 4 5 Number of Occurrences

37. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Hours of Study 1 2 3 4 5 NumberofOccurrences

38. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Hours of Study 1 2 3 4 5 NumberofOccurrences

39. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Hours of Study 1 2 3 4 5 NumberofOccurrences 1 2 3

52. Student Hours of Study Bart 1 Basheba 2 Bella 2 Bob 3 Boston 3 Bunter 3 Buxby 4 Bybee 4 Bwinda 5 Hours of Study 1 2 3 4 5 NumberofOccurrences 1 2 3 This is a distribution

53. One way to represent a distribution like this:

54. One way to represent a distribution like this:

55. One way to represent a distribution like this: Is like this:

56. One way to represent a distribution like this: Is like this:

57. One way to represent a distribution like this: Is like this: Normal distributions have the majority of the data in the middle

58. One way to represent a distribution like this: Is like this: Normal distributions have the majority of the data in the middle

59. One way to represent a distribution like this: Is like this: With decreasing but equal amounts toward the tails

60. One way to represent a distribution like this: Is like this: With decreasing but equal amounts toward the tails With decreasing but equal amounts toward the tails

61. Distributions can take other forms as well:

62. Distributions can take other forms as well: Hours of Study 1 2 3 4 #ofOccurrences 7

66. Distributions can take other forms as well: Skewed RIGHT

67. Distributions can take other forms as well: Hours of Study 5 6 72 #ofOccurrences 1

68. Distributions can take other forms as well: Skewed to the LEFT

71. Distributions can take other forms as well: Or NON-NORMAL

74. Return to Slide 3

Central tendency spread - symmetry (2.0)

Recommended

Recommended

More Related Content

What's hot

What's hot (19)

Similar to Central tendency spread - symmetry (2.0)

Similar to Central tendency spread - symmetry (2.0) (7)

More from Ken Plummer

More from Ken Plummer (20)

Recently uploaded

Recently uploaded (20)

Central tendency spread - symmetry (2.0)