1. GENERAL STATISTICS

23. Scales of Measurement of Data

31. Chapter 2

37. Different Types of Sampling Techniques

47. I. Setting up an array from the largest to the smallest 80 79 77 71 71 66 66 66 63 63 62 52 52 52 61 61 60 60 59 58 58 55 54 54 53 53 52 52 50 50 50 45 44 43 41 38 36 34 26 18

48. II. An array from the smallest to the largest 18 26 34 36 38 41 43 44 45 50 50 51 52 52 53 53 54 54 55 58 58 59 60 60 61 61 62 62 62 62 53 53 66 66 66 71 71 77 79 80

50. Tally Method CLASS LIMIT TALLY f CLASS BOUNDARY 80-89 I 1 79.5-89.5 70-79 IIII 4 69.5-79.5 60-69 IIIII-IIIII-III 13 59.5-69.5 50-59 IIIII-IIIII-III 13 49.5-59.5 40-49 IIII 4 39.5-49.5 30-39 III 3 29.5-39.5 20-29 I 1 19.5-29.5 10-19 I 1 9.5-19.5 n=40

53. Graphical Representation of Frequency Distribution

55. Frequency Histogram

57. Frequency Polygon

59. Ogive

61. Pie Chart

62. Chapter 3

85. GROUPED DATA C.I. f <cf X <cf f/n sector 80-89 1 40 84.5 1 0.0025 9percent 70-79 4 39 74.5 5 0.1000 36 60-69 13 35 64.5 18 0.3250 117 50-59 13 22 54.5 31 0.3250 117 40-49 4 9 44.5 35 0.1000 36 30-39 3 5 34.5 38 0.0750 27 20-29 1 2 24.5 39 0.0250 9 10-19 1 1 14.5 40 0.0250 9 n=40 ∑ rf=1

98. Chapter 4

100. FORMULA: CV SD x 100% x

101. 1 2 3 4 5 6 7 8 9 10 Coke 8 10 2 8 9 5 8 6 8 10 Pepsi 9 8 1 10 9 3 7 8 8 10 Example: 10- Highest 1- Lowest

102. x= 7.4 (coke) x x x-x |x-x| (x-x) 2 (x) 2 8 7.4 .6 .6 .36 64 10 7.4 2.6 2.6 6.76 100 2 7.4 5.4 5.4 29.16 4 8 7.4 .6 .6 .36 64 9 7.4 1.6 1.6 2.56 81 5 7.4 -2.4 2.4 5.76 25 8 7.4 .6 .6 .36 64 6 7.4 -1.4 1.4 1.96 36 8 7.4 .6 .6 .36 64 10 7.4 2.6 2.6 6.76 100 ∑ |x-x|=18.4 ∑ (x-x)2=54.4 ∑ (x) 2 =602

103. x= 7.3 (pepsi) x x x-x |x-x| (x-x) 2 (x) 2 9 7.3 1.7 1.7 2.87 81 8 7.3 0.7 0.7 0.49 64 1 7.3 -6.3 6.3 39.69 1 10 7.3 2.7 2.7 7.29 100 9 7.3 1.7 1.7 2.87 81 3 7.3 -4.3 4.3 18.47 9 7 7.3 -0.3 0.3 0.09 49 8 7.3 0.7 0.7 0.49 64 8 7.3 0.7 0.7 0.49 64 10 7.3 2.7 2.7 7.29 100 ∑ |x-x|= ∑ (x-x) 2 =80.1

104. Coke CV= 204585 x 100% 7.4 CV = SD x 100% x SD= ∑(x-x) 2 n-1 = 54.4 9 = √6.04 SD= 2.4585 CV= 33.2229%

105. SD= ∑(x-x) 2 n-1 Pepsi = 80.1 10-1 = 80.1 9 = √ 8.9 SD = 2.9833 SD2= 8.9

106. DECISION: Pepsi needs more improvement than coke in terms of taste

107. A distribution of 2 different units is given to compare in dispersion of heights versus in dispersion of weights. The mean height is 5.70 feet with SD = 0.9 ft. The mean weight is 72.5 kg with SD = 801 kg. Compare the dispersion in heights and in weights. CV = SD x 100% x = 0.9 x 100% 5.7 = 0.15789 = 15.7985% CV = SD x 100% x = 8.1 x 10% 72.5 = 0.111724 = 11.1724% HEIGHTS WEIGHTS

110. Negatively Skewed Distribution (all negative) Positively Skewed Distribution (all positive)

111. Normal Distribution = 0

113. Leptokurtic Distribution Mesokurtic Distribution

115. Chapter 5

127. The End

128. Thank You!

129. Presenters: Mary Ann Frogosa Mary Ann Mosquerra BOA IV-1