12. Inferential Statistics Session 1. TEACHING BASIC STATISTICS Larger Set ( N units/observations) Smaller Set ( n units/observations ) Inferences and Generalizations
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22. Session 1. TEACHING BASIC STATISTICS Mean Median Mode Summary Measures Variation Variance Standard Deviation Coefficient of Variation Range Location Maximum Minimum Central Tendency Percentile Quartile Decile Interquartile Range Skewness Kurtosis
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41. Session 1. TEACHING BASIC STATISTICS Mean = 15.5 s = 3.338 11 12 13 14 15 16 17 18 19 20 21 11 12 13 14 15 16 17 18 19 20 21 Data B Data A Mean = 15.5 s = .9258 11 12 13 14 15 16 17 18 19 20 21 Mean = 15.5 s = 4.57 Data C A look at dispersion…
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43. Range (R) Session 1. TEACHING BASIC STATISTICS The difference between the maximum and minimum value in a data set, i.e. R = MAX – MIN Example: Pulse rates of 15 male residents of a certain village 54 58 58 60 62 65 66 71 74 75 77 78 80 82 85 R = 85 - 54 = 31
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45. Inter-Quartile Range (IQR) Session 1. TEACHING BASIC STATISTICS The difference between the third quartile and first quartile, i.e. IQR = Q 3 – Q 1 Example: Pulse rates of 15 residents of a certain village 54 58 58 60 62 65 66 71 74 75 77 78 80 82 85 IQR = 78 - 60 = 18
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49. Session 1. TEACHING BASIC STATISTICS Data: 10 12 14 15 17 18 18 24 n = 8 Mean =16 Computation of Standard Deviation
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51. Comparing Standard Deviation Session 1. TEACHING BASIC STATISTICS Mean = 15.5 s = 3.338 11 12 13 14 15 16 17 18 19 20 21 11 12 13 14 15 16 17 18 19 20 21 Data B Data A Mean = 15.5 s = .9258 11 12 13 14 15 16 17 18 19 20 21 Mean = 15.5 s = 4.57 Data C
52. Comparing Standard Deviation Session 1. TEACHING BASIC STATISTICS Example: Team A - Heights of five marathon players in inches 65” 65 “ 65 “ 65 “ 65 “ 65 “ Mean = 65 S = 0
53. Comparing Standard Deviation Session 1. TEACHING BASIC STATISTICS Example: Team B - Heights of five marathon players in inches 62 “ 67 “ 66 “ 70 “ 60 “ Mean = 65” s = 4.0”
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61. Measure of Kurtosis Session 1. TEACHING BASIC STATISTICS K = 0 mesokurtic K > 0 leptokurtic K < 0 platykurtic