g. Determine the most appropriate measure of central tendency for the \"Size\" v

Question

g. Determine the most appropriate measure of central tendency for the "Size" variable. Provide both the measure and it's value. Measure: Value: Car Size (1=Compact, 2=Midsize, 3=Large) Displacement Cylinders Drive Fuel Type City MPG Hwy MPG 1 1 2.0 4 F P 22 30 2 1 2.0 4 A P 21 29 3 1 2.0 4 A P 21 31 4 1 3.0 6 A P 18 28 5 1 3.0 6 A P 18 27 6 1 6.0 12 A P 12 19 7 1 4.4 8 R P 16 24 8 1 4.4 8 R P 15 22 9 1 3.6 6 R R 19 30 10 1 3.6 6 R R 18 29 11 1 3.6 6 R R 17 28 12 1 6.2 8 R R 15 24 13 1 6.2 8 R R 16 24 14 1 2.4 4 F R 18 29 15 1 3.6 6 F R 19 29 16 1 2.0 4 F R 28 38 17 1 2.0 4 F R 27 37 18 1 2.0 4 F R 26 36 19 1 2.0 4 F R 28 40 20 1 1.8 4 F R 28 39 21 1 1.8 4 F R 28 36 22 1 2.4 4 F P 22 31 23 1 1.8 4 F R 29 41 24 1 1.5 4 F R 44 44 25 1 1.6 4 F R 30 40 26 1 1.6 4 F R 30 40 27 1 2.5 4 F R 22 29 28 1 2.5 4 F R 20 28 29 1 4.7 8 R P 17 25 30 1 6.7 12 R P 11 18 31 1 6.7 12 R P 11 18 32 1 2.0 4 F R 18 28 33 1 2.0 4 F R 20 33 34 1 2.0 4 A R 18 29 35 1 2.0 4 A R 20 30 36 1 2.0 4 F R 19 29 37 1 2.0 4 F R 20 33 38 1 2.5 4 F R 23 31 39 1 2.5 4 F R 23 31 40 1 2.0 4 F P 22 31 41 1 2.0 4 F P 21 31 42 1 3.6 6 A P 17 25 43 1 2.5 5 F R 24 31 44 1 2.5 5 F R 23 33 45 1 2.0 4 F P 24 33 46 1 2.0 4 F P 21 31 47 1 2.0 4 F R 23 29 48 1 2.0 4 F P 24 32 49 1 2.0 4 F R 24 34 50 1 2.0 4 F P 22 33 51 1 2.5 5 F R 24 31 52 1 2.5 5 F R 23 33 53 1 2.5 5 F R 21 30 54 1 2.5 5 F R 21 29 55 1 3.0 6 A R 18 26 56 1 2.5 5 F R 20 30 57 2 3.5 6 F P 20 29 58 2 3.7 6 A P 18 26 59 2 3.7 6 A P 17 25 60 2 2.0 4 F P 25 33 61 2 2.0 4 F P 25 33 62 2 3.0 6 A P 19 28 63 2 3.0 6 A P 18 28 64 2 4.2 8 A P 18 28 65 2 6.0 12 A P 11 19 66 2 2.4 4 F R 25 36 67 2 3.6 6 F R 17 27 68 2 3.6 6 A R 16 26 69 2 2.0 4 F R 18 29 70 2 2.0 4 F R 20 32 71 2 2.4 4 F R 25 36 72 2 3.0 6 R R 18 27 73 2 3.0 6 R R 16 26 74 2 3.6 6 R R 18 27 75 2 6.2 8 R P 12 18 76 2 6.2 8 R P 14 19 77 2 3.0 6 A R 18 26 78 2 1.4 4 F R 26 38 79 2 1.4 4 F R 26 38 80 2 1.8 4 F R 22 35 81 2 1.8 4 F R 25 36 82 2 1.4 4 F R 26 39 83 2 1.4 4 F R 28 42 84 2 2.4 4 F R 22 33 85 2 2.4 4 F R 22 33 86 2 3.6 6 F R 17 26 87 2 2.4 4 F R 21 30 88 2 2.4 4 F R 20 31 89 2 3.6 6 F R 19 29 90 2 2.4 4 F R 21 30 91 2 2.4 4 F R 20 31 92 2 3.6 6 F R 19 29 93 2 6.4 8 R P 14 23 94 2 3.5 6 A R 17 25 95 2 2.5 4 F R 23 33 96 2 2.5 4 F R 22 30 97 2 2.5 4 F R 22 29 98 2 3.5 6 F R 18 27 99 2 3.0 6 F R 20 28 100 2 2.5 4 F R 41 36 101 2 2.5 4 F R 22 32 102 2 1.8 4 F R 29 40 103 2 1.8 4 F R 29 40 104 2 3.5 6 R P 27 32 105 2 3.7 6 F P 18 26 106 2 3.7 6 A P 17 24 107 2 5.6 8 R P 16 24 108 2 5.6 8 A P 16 23 109 2 3.5 6 A R 17 25 110 2 3.5 6 F R 18 27 111 2 2.5 4 F R 41 36 112 2 2.5 4 F R 22 31 113 2 2.5 4 F R 21 30 114 2 3.7 6 F R 18 27 115 2 2.3 4 F P 18 25 116 2 2.5 4 F R 23 32 117 2 3.5 6 F R 20 27 118 2 2.0 4 F R 27 34 119 2 2.0 4 F R 24 31 120 2 2.5 4 F R 24 30 121 2 2.5 4 F P 21 28 122 2 2.0 4 F R 18 28 123 2 2.0 4 F R 20 33 124 2 3.0 6 A R 18 26 125 2 3.2 6 F R 20 29 126 3 4.2 8 A P 18 28 127 3 6.3 12 A P 14 21 128 3 3.0 6 R P 17 25 129 3 3.0 6 R P 17 25 130 3 4.4 8 R P 15 22 131 3 4.4 8 A P 14 20 132 3 4.4 8 R P 14 22 133 3 4.4 8 A P 14 20 134 3 4.4 8 R P 14 22 135 3 4.4 8 A P 14 20 136 3 4.4 8 R P 14 22 137 3 4.4 8 A P 14 20 138 3 3.6 6 F R 18 30 139 3 3.6 6 F R 18 30 140 3 5.0 8 R P 15 23 141 3 3.8 6 R R 19 29 142 3 4.6 8 R P 17 26 143 3 5.0 8 R P 17 26 144 3 5.0 8 R P 16 25 145 3 2.0 4 F R 22 34 146 3 2.4 4 F R 24 35 147 3 2.4 4 F R 24 35 148 3 6.7 12 R P 11 18 149 3 6.7 12 R P 11 18 g. Determine the most appropriate measure of central tendency for the "Size" variable. Provide both the measure and it's value. Measure: Value: Car Size (1=Compact, 2=Midsize, 3=Large) Displacement Cylinders Drive Fuel Type City MPG Hwy MPG 1 1 2.0 4 F P 22 30 2 1 2.0 4 A P 21 29 3 1 2.0 4 A P 21 31 4 1 3.0 6 A P 18 28 5 1 3.0 6 A P 18 27 6 1 6.0 12 A P 12 19 7 1 4.4 8 R P 16 24 8 1 4.4 8 R P 15 22 9 1 3.6 6 R R 19 30 10 1 3.6 6 R R 18 29 11 1 3.6 6 R R 17 28 12 1 6.2 8 R R 15 24 13 1 6.2 8 R R 16 24 14 1 2.4 4 F R 18 29 15 1 3.6 6 F R 19 29 16 1 2.0 4 F R 28 38 17 1 2.0 4 F R 27 37 18 1 2.0 4 F R 26 36 19 1 2.0 4 F R 28 40 20 1 1.8 4 F R 28 39 21 1 1.8 4 F R 28 36 22 1 2.4 4 F P 22 31 23 1 1.8 4 F R 29 41 24 1 1.5 4 F R 44 44 25 1 1.6 4 F R 30 40 26 1 1.6 4 F R 30 40 27 1 2.5 4 F R 22 29 28 1 2.5 4 F R 20 28 29 1 4.7 8 R P 17 25 30 1 6.7 12 R P 11 18 31 1 6.7 12 R P 11 18 32 1 2.0 4 F R 18 28 33 1 2.0 4 F R 20 33 34 1 2.0 4 A R 18 29 35 1 2.0 4 A R 20 30 36 1 2.0 4 F R 19 29 37 1 2.0 4 F R 20 33 38 1 2.5 4 F R 23 31 39 1 2.5 4 F R 23 31 40 1 2.0 4 F P 22 31 41 1 2.0 4 F P 21 31 42 1 3.6 6 A P 17 25 43 1 2.5 5 F R 24 31 44 1 2.5 5 F R 23 33 45 1 2.0 4 F P 24 33 46 1 2.0 4 F P 21 31 47 1 2.0 4 F R 23 29 48 1 2.0 4 F P 24 32 49 1 2.0 4 F R 24 34 50 1 2.0 4 F P 22 33 51 1 2.5 5 F R 24 31 52 1 2.5 5 F R 23 33 53 1 2.5 5 F R 21 30 54 1 2.5 5 F R 21 29 55 1 3.0 6 A R 18 26 56 1 2.5 5 F R 20 30 57 2 3.5 6 F P 20 29 58 2 3.7 6 A P 18 26 59 2 3.7 6 A P 17 25 60 2 2.0 4 F P 25 33 61 2 2.0 4 F P 25 33 62 2 3.0 6 A P 19 28 63 2 3.0 6 A P 18 28 64 2 4.2 8 A P 18 28 65 2 6.0 12 A P 11 19 66 2 2.4 4 F R 25 36 67 2 3.6 6 F R 17 27 68 2 3.6 6 A R 16 26 69 2 2.0 4 F R 18 29 70 2 2.0 4 F R 20 32 71 2 2.4 4 F R 25 36 72 2 3.0 6 R R 18 27 73 2 3.0 6 R R 16 26 74 2 3.6 6 R R 18 27 75 2 6.2 8 R P 12 18 76 2 6.2 8 R P 14 19 77 2 3.0 6 A R 18 26 78 2 1.4 4 F R 26 38 79 2 1.4 4 F R 26 38 80 2 1.8 4 F R 22 35 81 2 1.8 4 F R 25 36 82 2 1.4 4 F R 26 39 83 2 1.4 4 F R 28 42 84 2 2.4 4 F R 22 33 85 2 2.4 4 F R 22 33 86 2 3.6 6 F R 17 26 87 2 2.4 4 F R 21 30 88 2 2.4 4 F R 20 31 89 2 3.6 6 F R 19 29 90 2 2.4 4 F R 21 30 91 2 2.4 4 F R 20 31 92 2 3.6 6 F R 19 29 93 2 6.4 8 R P 14 23 94 2 3.5 6 A R 17 25 95 2 2.5 4 F R 23 33 96 2 2.5 4 F R 22 30 97 2 2.5 4 F R 22 29 98 2 3.5 6 F R 18 27 99 2 3.0 6 F R 20 28 100 2 2.5 4 F R 41 36 101 2 2.5 4 F R 22 32 102 2 1.8 4 F R 29 40 103 2 1.8 4 F R 29 40 104 2 3.5 6 R P 27 32 105 2 3.7 6 F P 18 26 106 2 3.7 6 A P 17 24 107 2 5.6 8 R P 16 24 108 2 5.6 8 A P 16 23 109 2 3.5 6 A R 17 25 110 2 3.5 6 F R 18 27 111 2 2.5 4 F R 41 36 112 2 2.5 4 F R 22 31 113 2 2.5 4 F R 21 30 114 2 3.7 6 F R 18 27 115 2 2.3 4 F P 18 25 116 2 2.5 4 F R 23 32 117 2 3.5 6 F R 20 27 118 2 2.0 4 F R 27 34 119 2 2.0 4 F R 24 31 120 2 2.5 4 F R 24 30 121 2 2.5 4 F P 21 28 122 2 2.0 4 F R 18 28 123 2 2.0 4 F R 20 33 124 2 3.0 6 A R 18 26 125 2 3.2 6 F R 20 29 126 3 4.2 8 A P 18 28 127 3 6.3 12 A P 14 21 128 3 3.0 6 R P 17 25 129 3 3.0 6 R P 17 25 130 3 4.4 8 R P 15 22 131 3 4.4 8 A P 14 20 132 3 4.4 8 R P 14 22 133 3 4.4 8 A P 14 20 134 3 4.4 8 R P 14 22 135 3 4.4 8 A P 14 20 136 3 4.4 8 R P 14 22 137 3 4.4 8 A P 14 20 138 3 3.6 6 F R 18 30 139 3 3.6 6 F R 18 30 140 3 5.0 8 R P 15 23 141 3 3.8 6 R R 19 29 142 3 4.6 8 R P 17 26 143 3 5.0 8 R P 17 26 144 3 5.0 8 R P 16 25 145 3 2.0 4 F R 22 34 146 3 2.4 4 F R 24 35 147 3 2.4 4 F R 24 35 148 3 6.7 12 R P 11 18 149 3 6.7 12 R P 11 18

Explanation / Answer

Here vaiable 'Size' is Ordinal type so the median is usually preferred to other measures of central tendency

Measure is Median and it value is 2.

Hope this will be helpful. Thanks and God Bless You :-)

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