In: Statistics and Probability
| Car | Size | Displacement | Cylinders | Drive | Fuel Type | City MPG | Hwy MPG | a. Use the descriptive statistics tool to give the descriptive stats for the quantitative variables. | |
| 1 | Compact | 2.0 | 4 | F | P | 22 | 30 | b. What is the highest City MPG? HWY MPG? The lowest? What is the mean, median, mode for each? | |
| 2 | Compact | 2.0 | 4 | A | P | 21 | 29 | c. Use the PivotChart tool to develop a histogram of the data. | |
| 3 | Compact | 2.0 | 4 | A | P | 21 | 31 | 1. InsertàPivotTableàPivotChart. | |
| 4 | Compact | 3.0 | 6 | A | P | 18 | 28 | d. What is the overall shape of the data? Is it skewed right or left? Symmetrical? | |
| 5 | Compact | 3.0 | 6 | A | P | 18 | 27 | ||
| 6 | Compact | 6.0 | 12 | A | P | 12 | 19 | ||
| 7 | Compact | 4.4 | 8 | R | P | 16 | 24 | ||
| 8 | Compact | 4.4 | 8 | R | P | 15 | 22 | ||
| 9 | Compact | 3.6 | 6 | R | R | 19 | 30 | ||
| 10 | Compact | 3.6 | 6 | R | R | 18 | 29 | ||
| 11 | Compact | 3.6 | 6 | R | R | 17 | 28 | ||
| 12 | Compact | 6.2 | 8 | R | R | 15 | 24 | ||
| 13 | Compact | 6.2 | 8 | R | R | 16 | 24 | ||
| 14 | Compact | 2.4 | 4 | F | R | 18 | 29 | ||
| 15 | Compact | 3.6 | 6 | F | R | 19 | 29 | ||
| 16 | Compact | 2.0 | 4 | F | R | 28 | 38 | ||
| 17 | Compact | 2.0 | 4 | F | R | 27 | 37 | ||
| 18 | Compact | 2.0 | 4 | F | R | 26 | 36 | ||
| 19 | Compact | 2.0 | 4 | F | R | 28 | 40 | ||
| 20 | Compact | 1.8 | 4 | F | R | 28 | 39 | ||
| 21 | Compact | 1.8 | 4 | F | R | 28 | 36 | ||
| 22 | Compact | 2.4 | 4 | F | P | 22 | 31 | ||
| 23 | Compact | 1.8 | 4 | F | R | 29 | 41 | ||
| 24 | Compact | 1.5 | 4 | F | R | 44 | 44 | ||
| 25 | Compact | 1.6 | 4 | F | R | 30 | 40 | ||
| 26 | Compact | 1.6 | 4 | F | R | 30 | 40 | ||
| 27 | Compact | 2.5 | 4 | F | R | 22 | 29 | ||
| 28 | Compact | 2.5 | 4 | F | R | 20 | 28 | ||
| 29 | Compact | 4.7 | 8 | R | P | 17 | 25 | ||
| 30 | Compact | 6.7 | 12 | R | P | 11 | 18 | ||
| 31 | Compact | 6.7 | 12 | R | P | 11 | 18 | ||
| 32 | Compact | 2.0 | 4 | F | R | 18 | 28 | ||
| 33 | Compact | 2.0 | 4 | F | R | 20 | 33 | ||
| 34 | Compact | 2.0 | 4 | A | R | 18 | 29 | ||
| 35 | Compact | 2.0 | 4 | A | R | 20 | 30 | ||
| 36 | Compact | 2.0 | 4 | F | R | 19 | 29 | ||
| 37 | Compact | 2.0 | 4 | F | R | 20 | 33 | ||
| 38 | Compact | 2.5 | 4 | F | R | 23 | 31 | ||
| 39 | Compact | 2.5 | 4 | F | R | 23 | 31 | ||
| 40 | Compact | 2.0 | 4 | F | P | 22 | 31 | ||
| 41 | Compact | 2.0 | 4 | F | P | 21 | 31 | ||
| 42 | Compact | 3.6 | 6 | A | P | 17 | 25 | ||
| 43 | Compact | 2.5 | 5 | F | R | 24 | 31 | ||
| 44 | Compact | 2.5 | 5 | F | R | 23 | 33 | ||
| 45 | Compact | 2.0 | 4 | F | P | 24 | 33 | ||
| 46 | Compact | 2.0 | 4 | F | P | 21 | 31 | ||
| 47 | Compact | 2.0 | 4 | F | R | 23 | 29 | ||
| 48 | Compact | 2.0 | 4 | F | P | 24 | 32 | ||
| 49 | Compact | 2.0 | 4 | F | R | 24 | 34 | ||
| 50 | Compact | 2.0 | 4 | F | P | 22 | 33 | ||
| 51 | Compact | 2.5 | 5 | F | R | 24 | 31 | ||
| 52 | Compact | 2.5 | 5 | F | R | 23 | 33 | ||
| 53 | Compact | 2.5 | 5 | F | R | 21 | 30 | ||
| 54 | Compact | 2.5 | 5 | F | R | 21 | 29 | ||
| 55 | Compact | 3.0 | 6 | A | R | 18 | 26 | ||
| 56 | Compact | 2.5 | 5 | F | R | 20 | 30 | ||
| 57 | Midsize | 3.5 | 6 | F | P | 20 | 29 | ||
| 58 | Midsize | 3.7 | 6 | A | P | 18 | 26 | ||
| 59 | Midsize | 3.7 | 6 | A | P | 17 | 25 | ||
| 60 | Midsize | 2.0 | 4 | F | P | 25 | 33 | ||
| 61 | Midsize | 2.0 | 4 | F | P | 25 | 33 | ||
| 62 | Midsize | 3.0 | 6 | A | P | 19 | 28 | ||
| 63 | Midsize | 3.0 | 6 | A | P | 18 | 28 | ||
| 64 | Midsize | 4.2 | 8 | A | P | 18 | 28 | ||
| 65 | Midsize | 6.0 | 12 | A | P | 11 | 19 | ||
| 66 | Midsize | 2.4 | 4 | F | R | 25 | 36 | ||
| 67 | Midsize | 3.6 | 6 | F | R | 17 | 27 | ||
| 68 | Midsize | 3.6 | 6 | A | R | 16 | 26 | ||
| 69 | Midsize | 2.0 | 4 | F | R | 18 | 29 | ||
| 70 | Midsize | 2.0 | 4 | F | R | 20 | 32 | ||
| 71 | Midsize | 2.4 | 4 | F | R | 25 | 36 | ||
| 72 | Midsize | 3.0 | 6 | R | R | 18 | 27 | ||
| 73 | Midsize | 3.0 | 6 | R | R | 16 | 26 | ||
| 74 | Midsize | 3.6 | 6 | R | R | 18 | 27 | ||
| 75 | Midsize | 6.2 | 8 | R | P | 12 | 18 | ||
| 76 | Midsize | 6.2 | 8 | R | P | 14 | 19 | ||
| 77 | Midsize | 3.0 | 6 | A | R | 18 | 26 | ||
| 78 | Midsize | 1.4 | 4 | F | R | 26 | 38 | ||
| 79 | Midsize | 1.4 | 4 | F | R | 26 | 38 | ||
| 80 | Midsize | 1.8 | 4 | F | R | 22 | 35 | ||
| 81 | Midsize | 1.8 | 4 | F | R | 25 | 36 | ||
| 82 | Midsize | 1.4 | 4 | F | R | 26 | 39 | ||
| 83 | Midsize | 1.4 | 4 | F | R | 28 | 42 | ||
| 84 | Midsize | 2.4 | 4 | F | R | 22 | 33 | ||
| 85 | Midsize | 2.4 | 4 | F | R | 22 | 33 | ||
| 86 | Midsize | 3.6 | 6 | F | R | 17 | 26 | ||
| 87 | Midsize | 2.4 | 4 | F | R | 21 | 30 | ||
| 88 | Midsize | 2.4 | 4 | F | R | 20 | 31 | ||
| 89 | Midsize | 3.6 | 6 | F | R | 19 | 29 | ||
| 90 | Midsize | 2.4 | 4 | F | R | 21 | 30 | ||
| 91 | Midsize | 2.4 | 4 | F | R | 20 | 31 | ||
| 92 | Midsize | 3.6 | 6 | F | R | 19 | 29 | ||
| 93 | Midsize | 6.4 | 8 | R | P | 14 | 23 | ||
| 94 | Midsize | 3.5 | 6 | A | R | 17 | 25 | ||
| 95 | Midsize | 2.5 | 4 | F | R | 23 | 33 | ||
| 96 | Midsize | 2.5 | 4 | F | R | 22 | 30 | ||
| 97 | Midsize | 2.5 | 4 | F | R | 22 | 29 | ||
| 98 | Midsize | 3.5 | 6 | F | R | 18 | 27 | ||
| 99 | Midsize | 3.0 | 6 | F | R | 20 | 28 | ||
| 100 | Midsize | 2.5 | 4 | F | R | 41 | 36 | ||
| 101 | Midsize | 2.5 | 4 | F | R | 22 | 32 | ||
| 102 | Midsize | 1.8 | 4 | F | R | 29 | 40 | ||
| 103 | Midsize | 1.8 | 4 | F | R | 29 | 40 | ||
| 104 | Midsize | 3.5 | 6 | R | P | 27 | 32 | ||
| 105 | Midsize | 3.7 | 6 | F | P | 18 | 26 | ||
| 106 | Midsize | 3.7 | 6 | A | P | 17 | 24 | ||
| 107 | Midsize | 5.6 | 8 | R | P | 16 | 24 | ||
| 108 | Midsize | 5.6 | 8 | A | P | 16 | 23 | ||
| 109 | Midsize | 3.5 | 6 | A | R | 17 | 25 | ||
| 110 | Midsize | 3.5 | 6 | F | R | 18 | 27 | ||
| 111 | Midsize | 2.5 | 4 | F | R | 41 | 36 | ||
| 112 | Midsize | 2.5 | 4 | F | R | 22 | 31 | ||
| 113 | Midsize | 2.5 | 4 | F | R | 21 | 30 | ||
| 114 | Midsize | 3.7 | 6 | F | R | 18 | 27 | ||
| 115 | Midsize | 2.3 | 4 | F | P | 18 | 25 | ||
| 116 | Midsize | 2.5 | 4 | F | R | 23 | 32 | ||
| 117 | Midsize | 3.5 | 6 | F | R | 20 | 27 | ||
| 118 | Midsize | 2.0 | 4 | F | R | 27 | 34 | ||
| 119 | Midsize | 2.0 | 4 | F | R | 24 | 31 | ||
| 120 | Midsize | 2.5 | 4 | F | R | 24 | 30 | ||
| 121 | Midsize | 2.5 | 4 | F | P | 21 | 28 | ||
| 122 | Midsize | 2.0 | 4 | F | R | 18 | 28 | ||
| 123 | Midsize | 2.0 | 4 | F | R | 20 | 33 | ||
| 124 | Midsize | 3.0 | 6 | A | R | 18 | 26 | ||
| 125 | Midsize | 3.2 | 6 | F | R | 20 | 29 | ||
| 126 | Large | 4.2 | 8 | A | P | 18 | 28 | ||
| 127 | Large | 6.3 | 12 | A | P | 14 | 21 | ||
| 128 | Large | 3.0 | 6 | R | P | 17 | 25 | ||
| 129 | Large | 3.0 | 6 | R | P | 17 | 25 | ||
| 130 | Large | 4.4 | 8 | R | P | 15 | 22 | ||
| 131 | Large | 4.4 | 8 | A | P | 14 | 20 | ||
| 132 | Large | 4.4 | 8 | R | P | 14 | 22 | ||
| 133 | Large | 4.4 | 8 | A | P | 14 | 20 | ||
| 134 | Large | 4.4 | 8 | R | P | 14 | 22 | ||
| 135 | Large | 4.4 | 8 | A | P | 14 | 20 | ||
| 136 | Large | 4.4 | 8 | R | P | 14 | 22 | ||
| 137 | Large | 4.4 | 8 | A | P | 14 | 20 | ||
| 138 | Large | 3.6 | 6 | F | R | 18 | 30 | ||
| 139 | Large | 3.6 | 6 | F | R | 18 | 30 | ||
| 140 | Large | 5.0 | 8 | R | P | 15 | 23 | ||
| 141 | Large | 3.8 | 6 | R | R | 19 | 29 | ||
| 142 | Large | 4.6 | 8 | R | P | 17 | 26 | ||
| 143 | Large | 5.0 | 8 | R | P | 17 | 26 | ||
| 144 | Large | 5.0 | 8 | R | P | 16 | 25 | ||
| 145 | Large | 2.0 | 4 | F | R | 22 | 34 | ||
| 146 | Large | 2.4 | 4 | F | R | 24 | 35 | ||
| 147 | Large | 2.4 | 4 | F | R | 24 | 35 | ||
| 148 | Large | 6.7 | 12 | R | P | 11 | 18 | ||
| 149 | Large | 6.7 | 12 | R | P | 11 | 18 | ||
| 150 | Large | 6.7 | 12 | R | R | 14 | 18 |
A)
| Displacement | Cylinders | City MPG | Hwy MPG | EXCEL FUNCTION USED | |
| mean | 3.1513 | 5.6333 | 20.3133 | 29.1467 | AVERAGE |
| median | 2.5 | 5 | 20 | 29 | MEDIAN |
| mode | 2 | 4 | 18 | 29 | MODE |
| skewness | 1.1307 | 1.5137 | 1.3360 | 0.1068 | SKEW |
| sd | 1.3616 | 2.1028 | 5.3422 | 5.5821 | STDEV |
| var | 1.8539 | 4.4217 | 28.5387 | 31.1596 | VAR |
| IQR | 1.675 | 2 | 6 | 7 | QUARTILE(..,3)-QUARTILE(..,1) |
B)
| CITY mpg | hwy mpg | EXCEL FUNCTION USED | |
| highest | 44 | 44 | MAX |
| lowest | 11 | 18 | MIN |
| mean | 20.31 | 29.15 | AVERAGE |
| median | 20 | 29 | MEDIAN |
| mode | 18 | 29 | MODE |
C)
dISPLACEMENT
| Row Labels | Count of Displacement |
| 1-2 | 14 |
| 2-3 | 65 |
| 3-4 | 39 |
| 4-5 | 14 |
| 5-6 | 5 |
| 6-7 | 13 |
| Grand Total | 150 |

CYLINDERS
| Row Labels | Count of Cylinders |
| 4 | 72 |
| 5 | 7 |
| 6 | 39 |
| 8 | 24 |
| 12 | 8 |
| Grand Total | 150 |

City MPG
| Row Labels | Count of City MPG |
| 10-14 | 18 |
| 15-19 | 55 |
| 20-24 | 52 |
| 25-29 | 20 |
| 30-34 | 2 |
| 40-45 | 3 |
| Grand Total | 150 |

HWY MPG
| Row Labels | Count of Hwy MPG |
| 15-19 | 9 |
| 20-24 | 18 |
| 25-29 | 54 |
| 30-34 | 45 |
| 35-39 | 16 |
| 40-45 | 8 |
| Grand Total | 150 |

D)
distribution of all variables namely Displacement, Cylinders, City MPG and Hwy MPG is skewed to right.