Question

In: Statistics and Probability

Car Size Displacement Cylinders Drive Fuel Type City MPG Hwy MPG a.     Use the descriptive statistics...

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

Solutions

Expert Solution

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.


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