Question

In: Statistics and Probability

Use the below data to find (using an interval of 5 or 6 or as in...

Use the below data to find (using an interval of 5 or 6 or as in Excel calls it bin width of 5 or 6): Use the data below only and use your choice of software to do the Histogram – You can use any Histogram tool whether it is Excel or another application from the Internet. Be sure that the Histogram shows the classes and frequencies. Include a Title of your histogram.

A) Paste the Histogram below

B) Describe what the Histogram means in relation to the data below – what does it tell you about the data and how you can use it to analyze the data?

Solutions

Expert Solution

Sol:

refer the data mpg:

manufacturer model displ year cyl trans drv cty hwy fl class
1 audi a4 1.8 1999 4 auto(l5) f 18 29 p compact
2 audi a4 1.8 1999 4 manual(m5) f 21 29 p compact
3 audi a4 2 2008 4 manual(m6) f 20 31 p compact
4 audi a4 2 2008 4 auto(av) f 21 30 p compact
5 audi a4 2.8 1999 6 auto(l5) f 16 26 p compact
6 audi a4 2.8 1999 6 manual(m5) f 18 26 p compact
7 audi a4 3.1 2008 6 auto(av) f 18 27 p compact
8 audi a4 quattro 1.8 1999 4 manual(m5) 4 18 26 p compact
9 audi a4 quattro 1.8 1999 4 auto(l5) 4 16 25 p compact
10 audi a4 quattro 2 2008 4 manual(m6) 4 20 28 p compact
11 audi a4 quattro 2 2008 4 auto(s6) 4 19 27 p compact
12 audi a4 quattro 2.8 1999 6 auto(l5) 4 15 25 p compact
13 audi a4 quattro 2.8 1999 6 manual(m5) 4 17 25 p compact
14 audi a4 quattro 3.1 2008 6 auto(s6) 4 17 25 p compact
15 audi a4 quattro 3.1 2008 6 manual(m6) 4 15 25 p compact
16 audi a6 quattro 2.8 1999 6 auto(l5) 4 15 24 p midsize
17 audi a6 quattro 3.1 2008 6 auto(s6) 4 17 25 p midsize
18 audi a6 quattro 4.2 2008 8 auto(s6) 4 16 23 p midsize
19 chevrolet c1500 suburban 2wd 5.3 2008 8 auto(l4) r 14 20 r suv
20 chevrolet c1500 suburban 2wd 5.3 2008 8 auto(l4) r 11 15 e suv
21 chevrolet c1500 suburban 2wd 5.3 2008 8 auto(l4) r 14 20 r suv
22 chevrolet c1500 suburban 2wd 5.7 1999 8 auto(l4) r 13 17 r suv
23 chevrolet c1500 suburban 2wd 6 2008 8 auto(l4) r 12 17 r suv
24 chevrolet corvette 5.7 1999 8 manual(m6) r 16 26 p 2seater
25 chevrolet corvette 5.7 1999 8 auto(l4) r 15 23 p 2seater
26 chevrolet corvette 6.2 2008 8 manual(m6) r 16 26 p 2seater
27 chevrolet corvette 6.2 2008 8 auto(s6) r 15 25 p 2seater
28 chevrolet corvette 7 2008 8 manual(m6) r 15 24 p 2seater
29 chevrolet k1500 tahoe 4wd 5.3 2008 8 auto(l4) 4 14 19 r suv
30 chevrolet k1500 tahoe 4wd 5.3 2008 8 auto(l4) 4 11 14 e suv
31 chevrolet k1500 tahoe 4wd 5.7 1999 8 auto(l4) 4 11 15 r suv
32 chevrolet k1500 tahoe 4wd 6.5 1999 8 auto(l4) 4 14 17 d suv
33 chevrolet malibu 2.4 1999 4 auto(l4) f 19 27 r midsize
34 chevrolet malibu 2.4 2008 4 auto(l4) f 22 30 r midsize
35 chevrolet malibu 3.1 1999 6 auto(l4) f 18 26 r midsize
36 chevrolet malibu 3.5 2008 6 auto(l4) f 18 29 r midsize
37 chevrolet malibu 3.6 2008 6 auto(s6) f 17 26 r midsize
38 dodge caravan 2wd 2.4 1999 4 auto(l3) f 18 24 r minivan
39 dodge caravan 2wd 3 1999 6 auto(l4) f 17 24 r minivan
40 dodge caravan 2wd 3.3 1999 6 auto(l4) f 16 22 r minivan
41 dodge caravan 2wd 3.3 1999 6 auto(l4) f 16 22 r minivan
42 dodge caravan 2wd 3.3 2008 6 auto(l4) f 17 24 r minivan
43 dodge caravan 2wd 3.3 2008 6 auto(l4) f 17 24 r minivan
44 dodge caravan 2wd 3.3 2008 6 auto(l4) f 11 17 e minivan
45 dodge caravan 2wd 3.8 1999 6 auto(l4) f 15 22 r minivan
46 dodge caravan 2wd 3.8 1999 6 auto(l4) f 15 21 r minivan
47 dodge caravan 2wd 3.8 2008 6 auto(l6) f 16 23 r minivan
48 dodge caravan 2wd 4 2008 6 auto(l6) f 16 23 r minivan
49 dodge dakota pickup 4wd 3.7 2008 6 manual(m6) 4 15 19 r pickup
50 dodge dakota pickup 4wd 3.7 2008 6 auto(l4) 4 14 18 r pickup
51 dodge dakota pickup 4wd 3.9 1999 6 auto(l4) 4 13 17 r pickup
52 dodge dakota pickup 4wd 3.9 1999 6 manual(m5) 4 14 17 r pickup
53 dodge dakota pickup 4wd 4.7 2008 8 auto(l5) 4 14 19 r pickup
54 dodge dakota pickup 4wd 4.7 2008 8 auto(l5) 4 14 19 r pickup
55 dodge dakota pickup 4wd 4.7 2008 8 auto(l5) 4 9 12 e pickup
56 dodge dakota pickup 4wd 5.2 1999 8 manual(m5) 4 11 17 r pickup
57 dodge dakota pickup 4wd 5.2 1999 8 auto(l4) 4 11 15 r pickup
58 dodge durango 4wd 3.9 1999 6 auto(l4) 4 13 17 r suv
59 dodge durango 4wd 4.7 2008 8 auto(l5) 4 13 17 r suv
60 dodge durango 4wd 4.7 2008 8 auto(l5) 4 9 12 e suv
61 dodge durango 4wd 4.7 2008 8 auto(l5) 4 13 17 r suv
62 dodge durango 4wd 5.2 1999 8 auto(l4) 4 11 16 r suv
63 dodge durango 4wd 5.7 2008 8 auto(l5) 4 13 18 r suv
64 dodge durango 4wd 5.9 1999 8 auto(l4) 4 11 15 r suv
65 dodge ram 1500 pickup 4wd 4.7 2008 8 manual(m6) 4 12 16 r pickup
66 dodge ram 1500 pickup 4wd 4.7 2008 8 auto(l5) 4 9 12 e pickup
67 dodge ram 1500 pickup 4wd 4.7 2008 8 auto(l5) 4 13 17 r pickup
68 dodge ram 1500 pickup 4wd 4.7 2008 8 auto(l5) 4 13 17 r pickup
69 dodge ram 1500 pickup 4wd 4.7 2008 8 manual(m6) 4 12 16 r pickup
70 dodge ram 1500 pickup 4wd 4.7 2008 8 manual(m6) 4 9 12 e pickup
71 dodge ram 1500 pickup 4wd 5.2 1999 8 auto(l4) 4 11 15 r pickup
72 dodge ram 1500 pickup 4wd 5.2 1999 8 manual(m5) 4 11 16 r pickup
73 dodge ram 1500 pickup 4wd 5.7 2008 8 auto(l5) 4 13 17 r pickup
74 dodge ram 1500 pickup 4wd 5.9 1999 8 auto(l4) 4 11 15 r pickup
75 ford expedition 2wd 4.6 1999 8 auto(l4) r 11 17 r suv
76 ford expedition 2wd 5.4 1999 8 auto(l4) r 11 17 r suv
77 ford expedition 2wd 5.4 2008 8 auto(l6) r 12 18 r suv
78 ford explorer 4wd 4 1999 6 auto(l5) 4 14 17 r suv
79 ford explorer 4wd 4 1999 6 manual(m5) 4 15 19 r suv
80 ford explorer 4wd 4 1999 6 auto(l5) 4 14 17 r suv
81 ford explorer 4wd 4 2008 6 auto(l5) 4 13 19 r suv
82 ford explorer 4wd 4.6 2008 8 auto(l6) 4 13 19 r suv
83 ford explorer 4wd 5 1999 8 auto(l4) 4 13 17 r suv
84 ford f150 pickup 4wd 4.2 1999 6 auto(l4) 4 14 17 r pickup
85 ford f150 pickup 4wd 4.2 1999 6 manual(m5) 4 14 17 r pickup
86 ford f150 pickup 4wd 4.6 1999 8 manual(m5) 4 13 16 r pickup
87 ford f150 pickup 4wd 4.6 1999 8 auto(l4) 4 13 16 r pickup
88 ford f150 pickup 4wd 4.6 2008 8 auto(l4) 4 13 17 r pickup
89 ford f150 pickup 4wd 5.4 1999 8 auto(l4) 4 11 15 r pickup
90 ford f150 pickup 4wd 5.4 2008 8 auto(l4) 4 13 17 r pickup
91 ford mustang 3.8 1999 6 manual(m5) r 18 26 r subcompact
92 ford mustang 3.8 1999 6 auto(l4) r 18 25 r subcompact
93 ford mustang 4 2008 6 manual(m5) r 17 26 r subcompact
94 ford mustang 4 2008 6 auto(l5) r 16 24 r subcompact
95 ford mustang 4.6 1999 8 auto(l4) r 15 21 r subcompact
96 ford mustang 4.6 1999 8 manual(m5) r 15 22 r subcompact
97 ford mustang 4.6 2008 8 manual(m5) r 15 23 r subcompact
98 ford mustang 4.6 2008 8 auto(l5) r 15 22 r subcompact
99 ford mustang 5.4 2008 8 manual(m6) r 14 20 p subcompact
100 honda civic 1.6 1999 4 manual(m5) f 28 33 r subcompact
101 honda civic 1.6 1999 4 auto(l4) f 24 32 r subcompact
102 honda civic 1.6 1999 4 manual(m5) f 25 32 r subcompact
103 honda civic 1.6 1999 4 manual(m5) f 23 29 p subcompact
104 honda civic 1.6 1999 4 auto(l4) f 24 32 r subcompact
105 honda civic 1.8 2008 4 manual(m5) f 26 34 r subcompact
106 honda civic 1.8 2008 4 auto(l5) f 25 36 r subcompact
107 honda civic 1.8 2008 4 auto(l5) f 24 36 c subcompact
108 honda civic 2 2008 4 manual(m6) f 21 29 p subcompact
109 hyundai sonata 2.4 1999 4 auto(l4) f 18 26 r midsize
110 hyundai sonata 2.4 1999 4 manual(m5) f 18 27 r midsize
111 hyundai sonata 2.4 2008 4 auto(l4) f 21 30 r midsize
112 hyundai sonata 2.4 2008 4 manual(m5) f 21 31 r midsize
113 hyundai sonata 2.5 1999 6 auto(l4) f 18 26 r midsize
114 hyundai sonata 2.5 1999 6 manual(m5) f 18 26 r midsize
115 hyundai sonata 3.3 2008 6 auto(l5) f 19 28 r midsize
116 hyundai tiburon 2 1999 4 auto(l4) f 19 26 r subcompact
117 hyundai tiburon 2 1999 4 manual(m5) f 19 29 r subcompact
118 hyundai tiburon 2 2008 4 manual(m5) f 20 28 r subcompact
119 hyundai tiburon 2 2008 4 auto(l4) f 20 27 r subcompact
120 hyundai tiburon 2.7 2008 6 auto(l4) f 17 24 r subcompact
121 hyundai tiburon 2.7 2008 6 manual(m6) f 16 24 r subcompact
122 hyundai tiburon 2.7 2008 6 manual(m5) f 17 24 r subcompact
123 jeep grand cherokee 4wd 3 2008 6 auto(l5) 4 17 22 d suv
124 jeep grand cherokee 4wd 3.7 2008 6 auto(l5) 4 15 19 r suv
125 jeep grand cherokee 4wd 4 1999 6 auto(l4) 4 15 20 r suv
126 jeep grand cherokee 4wd 4.7 1999 8 auto(l4) 4 14 17 r suv
127 jeep grand cherokee 4wd 4.7 2008 8 auto(l5) 4 9 12 e suv
128 jeep grand cherokee 4wd 4.7 2008 8 auto(l5) 4 14 19 r suv
129 jeep grand cherokee 4wd 5.7 2008 8 auto(l5) 4 13 18 r suv
130 jeep grand cherokee 4wd 6.1 2008 8 auto(l5) 4 11 14 p suv
131 land rover range rover 4 1999 8 auto(l4) 4 11 15 p suv
132 land rover range rover 4.2 2008 8 auto(s6) 4 12 18 r suv
133 land rover range rover 4.4 2008 8 auto(s6) 4 12 18 r suv
134 land rover range rover 4.6 1999 8 auto(l4) 4 11 15 p suv
135 lincoln navigator 2wd 5.4 1999 8 auto(l4) r 11 17 r suv
136 lincoln navigator 2wd 5.4 1999 8 auto(l4) r 11 16 p suv
137 lincoln navigator 2wd 5.4 2008 8 auto(l6) r 12 18 r suv
138 mercury mountaineer 4wd 4 1999 6 auto(l5) 4 14 17 r suv
139 mercury mountaineer 4wd 4 2008 6 auto(l5) 4 13 19 r suv
140 mercury mountaineer 4wd 4.6 2008 8 auto(l6) 4 13 19 r suv
141 mercury mountaineer 4wd 5 1999 8 auto(l4) 4 13 17 r suv
142 nissan altima 2.4 1999 4 manual(m5) f 21 29 r compact
143 nissan altima 2.4 1999 4 auto(l4) f 19 27 r compact
144 nissan altima 2.5 2008 4 auto(av) f 23 31 r midsize
145 nissan altima 2.5 2008 4 manual(m6) f 23 32 r midsize
146 nissan altima 3.5 2008 6 manual(m6) f 19 27 p midsize
147 nissan altima 3.5 2008 6 auto(av) f 19 26 p midsize
148 nissan maxima 3 1999 6 auto(l4) f 18 26 r midsize
149 nissan maxima 3 1999 6 manual(m5) f 19 25 r midsize
150 nissan maxima 3.5 2008 6 auto(av) f 19 25 p midsize
151 nissan pathfinder 4wd 3.3 1999 6 auto(l4) 4 14 17 r suv
152 nissan pathfinder 4wd 3.3 1999 6 manual(m5) 4 15 17 r suv
153 nissan pathfinder 4wd 4 2008 6 auto(l5) 4 14 20 p suv
154 nissan pathfinder 4wd 5.6 2008 8 auto(s5) 4 12 18 p suv
155 pontiac grand prix 3.1 1999 6 auto(l4) f 18 26 r midsize
156 pontiac grand prix 3.8 1999 6 auto(l4) f 16 26 p midsize
157 pontiac grand prix 3.8 1999 6 auto(l4) f 17 27 r midsize
158 pontiac grand prix 3.8 2008 6 auto(l4) f 18 28 r midsize
159 pontiac grand prix 5.3 2008 8 auto(s4) f 16 25 p midsize
160 subaru forester awd 2.5 1999 4 manual(m5) 4 18 25 r suv
161 subaru forester awd 2.5 1999 4 auto(l4) 4 18 24 r suv
162 subaru forester awd 2.5 2008 4 manual(m5) 4 20 27 r suv
163 subaru forester awd 2.5 2008 4 manual(m5) 4 19 25 p suv
164 subaru forester awd 2.5 2008 4 auto(l4) 4 20 26 r suv
165 subaru forester awd 2.5 2008 4 auto(l4) 4 18 23 p suv
166 subaru impreza awd 2.2 1999 4 auto(l4) 4 21 26 r subcompact
167 subaru impreza awd 2.2 1999 4 manual(m5) 4 19 26 r subcompact
168 subaru impreza awd 2.5 1999 4 manual(m5) 4 19 26 r subcompact
169 subaru impreza awd 2.5 1999 4 auto(l4) 4 19 26 r subcompact
170 subaru impreza awd 2.5 2008 4 auto(s4) 4 20 25 p compact
171 subaru impreza awd 2.5 2008 4 auto(s4) 4 20 27 r compact
172 subaru impreza awd 2.5 2008 4 manual(m5) 4 19 25 p compact
173 subaru impreza awd 2.5 2008 4 manual(m5) 4 20 27 r compact
174 toyota 4runner 4wd 2.7 1999 4 manual(m5) 4 15 20 r suv
175 toyota 4runner 4wd 2.7 1999 4 auto(l4) 4 16 20 r suv
176 toyota 4runner 4wd 3.4 1999 6 auto(l4) 4 15 19 r suv
177 toyota 4runner 4wd 3.4 1999 6 manual(m5) 4 15 17 r suv
178 toyota 4runner 4wd 4 2008 6 auto(l5) 4 16 20 r suv
179 toyota 4runner 4wd 4.7 2008 8 auto(l5) 4 14 17 r suv
180 toyota camry 2.2 1999 4 manual(m5) f 21 29 r midsize
181 toyota camry 2.2 1999 4 auto(l4) f 21 27 r midsize
182 toyota camry 2.4 2008 4 manual(m5) f 21 31 r midsize
183 toyota camry 2.4 2008 4 auto(l5) f 21 31 r midsize
184 toyota camry 3 1999 6 auto(l4) f 18 26 r midsize
185 toyota camry 3 1999 6 manual(m5) f 18 26 r midsize
186 toyota camry 3.5 2008 6 auto(s6) f 19 28 r midsize
187 toyota camry solara 2.2 1999 4 auto(l4) f 21 27 r compact
188 toyota camry solara 2.2 1999 4 manual(m5) f 21 29 r compact
189 toyota camry solara 2.4 2008 4 manual(m5) f 21 31 r compact
190 toyota camry solara 2.4 2008 4 auto(s5) f 22 31 r compact
191 toyota camry solara 3 1999 6 auto(l4) f 18 26 r compact
192 toyota camry solara 3 1999 6 manual(m5) f 18 26 r compact
193 toyota camry solara 3.3 2008 6 auto(s5) f 18 27 r compact
194 toyota corolla 1.8 1999 4 auto(l3) f 24 30 r compact
195 toyota corolla 1.8 1999 4 auto(l4) f 24 33 r compact
196 toyota corolla 1.8 1999 4 manual(m5) f 26 35 r compact
197 toyota corolla 1.8 2008 4 manual(m5) f 28 37 r compact
198 toyota corolla 1.8 2008 4 auto(l4) f 26 35 r compact
199 toyota land cruiser wagon 4wd 4.7 1999 8 auto(l4) 4 11 15 r suv
200 toyota land cruiser wagon 4wd 5.7 2008 8 auto(s6) 4 13 18 r suv
201 toyota toyota tacoma 4wd 2.7 1999 4 manual(m5) 4 15 20 r pickup
202 toyota toyota tacoma 4wd 2.7 1999 4 auto(l4) 4 16 20 r pickup
203 toyota toyota tacoma 4wd 2.7 2008 4 manual(m5) 4 17 22 r pickup
204 toyota toyota tacoma 4wd 3.4 1999 6 manual(m5) 4 15 17 r pickup
205 toyota toyota tacoma 4wd 3.4 1999 6 auto(l4) 4 15 19 r pickup
206 toyota toyota tacoma 4wd 4 2008 6 manual(m6) 4 15 18 r pickup
207 toyota toyota tacoma 4wd 4 2008 6 auto(l5) 4 16 20 r pickup
208 volkswagen gti 2 1999 4 manual(m5) f 21 29 r compact
209 volkswagen gti 2 1999 4 auto(l4) f 19 26 r compact
210 volkswagen gti 2 2008 4 manual(m6) f 21 29 p compact
211 volkswagen gti 2 2008 4 auto(s6) f 22 29 p compact
212 volkswagen gti 2.8 1999 6 manual(m5) f 17 24 r compact
213 volkswagen jetta 1.9 1999 4 manual(m5) f 33 44 d compact
214 volkswagen jetta 2 1999 4 manual(m5) f 21 29 r compact
215 volkswagen jetta 2 1999 4 auto(l4) f 19 26 r compact
216 volkswagen jetta 2 2008 4 auto(s6) f 22 29 p compact
217 volkswagen jetta 2 2008 4 manual(m6) f 21 29 p compact
218 volkswagen jetta 2.5 2008 5 auto(s6) f 21 29 r compact
219 volkswagen jetta 2.5 2008 5 manual(m5) f 21 29 r compact
220 volkswagen jetta 2.8 1999 6 auto(l4) f 16 23 r compact
221 volkswagen jetta 2.8 1999 6 manual(m5) f 17 24 r compact
222 volkswagen new beetle 1.9 1999 4 manual(m5) f 35 44 d subcompact
223 volkswagen new beetle 1.9 1999 4 auto(l4) f 29 41 d subcompact
224 volkswagen new beetle 2 1999 4 manual(m5) f 21 29 r subcompact
225 volkswagen new beetle 2 1999 4 auto(l4) f 19 26 r subcompact
226 volkswagen new beetle 2.5 2008 5 manual(m5) f 20 28 r subcompact
227 volkswagen new beetle 2.5 2008 5 auto(s6) f 20 29 r subcompact
228 volkswagen passat 1.8 1999 4 manual(m5) f 21 29 p midsize
229 volkswagen passat 1.8 1999 4 auto(l5) f 18 29 p midsize
230 volkswagen passat 2 2008 4 auto(s6) f 19 28 p midsize
231 volkswagen passat 2 2008 4 manual(m6) f 21 29 p midsize
232 volkswagen passat 2.8 1999 6 auto(l5) f 16 26 p midsize
233 volkswagen passat 2.8 1999 6 manual(m5) f 18 26 p midsize
234 volkswagen passat 3.6 2008 6 auto(s6) f 17 26 p midsize

Using R studio

There is inbuilt data in R name mpg

there are 234 observations and 11 variables

Observations: 234
Variables: 11

Sample data is given below


$ manufacturer <chr> "audi", "audi", "audi", "audi", "audi", "audi", "audi", "audi", "audi", "a...
$ model <chr> "a4", "a4", "a4", "a4", "a4", "a4", "a4", "a4 quattro", "a4 quattro", "a4 ...
$ displ <dbl> 1.8, 1.8, 2.0, 2.0, 2.8, 2.8, 3.1, 1.8, 1.8, 2.0, 2.0, 2.8, 2.8, 3.1, 3.1,...
$ year <int> 1999, 1999, 2008, 2008, 1999, 1999, 2008, 1999, 1999, 2008, 2008, 1999, 19...
$ cyl <int> 4, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8,...
$ trans <chr> "auto(l5)", "manual(m5)", "manual(m6)", "auto(av)", "auto(l5)", "manual(m5...
$ drv <chr> "f", "f", "f", "f", "f", "f", "f", "4", "4", "4", "4", "4", "4", "4", "4",...
$ cty <int> 18, 21, 20, 21, 16, 18, 18, 18, 16, 20, 19, 15, 17, 17, 15, 15, 17, 16, 14...
$ hwy <int> 29, 29, 31, 30, 26, 26, 27, 26, 25, 28, 27, 25, 25, 25, 25, 24, 25, 23, 20...
$ fl <chr> "p", "p", "p", "p", "p", "p", "p", "p", "p", "p", "p", "p", "p", "p", "p",...
$ class <chr> "compact", "compact", "compact", "compact", "compact", "compact", "compact...

Use blelow code to get histogram


p = ggplot(mpg, aes(x= class)) + geom_bar()
p = p + labs(title = "Number of Cars in each type", x = "Type of car", y = "Number of cars")
p + geom_text(stat='count', aes(label=..count..), vjust=-0.25)

Output is:

B) Describe what the Histogram means in relation to the data below – what does it tell you about the data and how you can use it to analyze the data?

There were High numbersof SUV.s

and least number of 2 seater in mpg dataset.

distribution is negatively skewed.


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