Course Name Semester Homework CVE 350- Transportation Engineering Fall 2024 1 Problem: Determining Speed Characteristics from a Set of Speed Data [10 points] The table below shows the speed data collected on an urban highway during a traffic speed study. Develop the frequency histogram and the frequency distribution of the data and determine: 1. The arithmetic mean speed 2. The standard deviation 3. The median speed 4. The pace (range within which most vehicles are traveling) 5. The mode or modal speed 6. The 85th-percentile speed Car No. Speed Car (km/h) No. Speed Car Speed Car Speed (km/h) No. (km/h) No. (km/h) 1 32.5 13 44.6 25 48.7 37 52 2 40.1 14 49.3 26 50.6 38 59 3 36.4 15 47.2 27 55.4 39 54.3 4 50.8 16 52.1 28 53.1 40 61 5 38.9 17 42.7 29 60.2 41 47.7 6 55.5 18 44.2 30 49.9 42 58.2 7 43.3 19 51 31 57.5 43 46.9 8 46.8 20 47.9 32 62.5 44 50 9 39.7 21 41.5 33 40.8 45 48.3 10 50.2 22 53.6 34 44.5 46 45.4 11 56.4 23 50.9 35 58.3 47 51.9 12 34.7 24 48.4 36 49.2 48 60.1 Note: Use Microsoft Excel to solve the problem and calculate the required speed characteristics. Be sure to clearly show your steps in the solution. The histogram of observed vehicles' speeds and the cumulative frequency distribution curve must also be included.
Course Name Semester Homework CVE 350- Transportation Engineering Fall 2024 1 Problem: Determining Speed Characteristics from a Set of Speed Data [10 points] The table below shows the speed data collected on an urban highway during a traffic speed study. Develop the frequency histogram and the frequency distribution of the data and determine: 1. The arithmetic mean speed 2. The standard deviation 3. The median speed 4. The pace (range within which most vehicles are traveling) 5. The mode or modal speed 6. The 85th-percentile speed Car No. Speed Car (km/h) No. Speed Car Speed Car Speed (km/h) No. (km/h) No. (km/h) 1 32.5 13 44.6 25 48.7 37 52 2 40.1 14 49.3 26 50.6 38 59 3 36.4 15 47.2 27 55.4 39 54.3 4 50.8 16 52.1 28 53.1 40 61 5 38.9 17 42.7 29 60.2 41 47.7 6 55.5 18 44.2 30 49.9 42 58.2 7 43.3 19 51 31 57.5 43 46.9 8 46.8 20 47.9 32 62.5 44 50 9 39.7 21 41.5 33 40.8 45 48.3 10 50.2 22 53.6 34 44.5 46 45.4 11 56.4 23 50.9 35 58.3 47 51.9 12 34.7 24 48.4 36 49.2 48 60.1 Note: Use Microsoft Excel to solve the problem and calculate the required speed characteristics. Be sure to clearly show your steps in the solution. The histogram of observed vehicles' speeds and the cumulative frequency distribution curve must also be included.
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Problem: Determining Speed Characteristics from a Set of Speed Data .The table below shows the speed data collected on an urban highway during a traffic speed
study. Develop the frequency histogram and the frequency distribution of the data and
determine:
1. The arithmetic mean speed
2. The standard deviation
3. The median speed
4. The pace (range within which most vehicles are traveling)
5. The mode or modal speed
6. The 85th-percentile speed.
![Course Name
Semester
Homework
CVE 350- Transportation Engineering
Fall 2024
1
Problem: Determining Speed Characteristics from a Set of Speed Data [10 points]
The table below shows the speed data collected on an urban highway during a traffic speed
study. Develop the frequency histogram and the frequency distribution of the data and
determine:
1. The arithmetic mean speed
2. The standard deviation
3. The median speed
4. The pace (range within which most vehicles are traveling)
5. The mode or modal speed
6. The 85th-percentile speed
Car
No.
Speed Car
(km/h) No.
Speed
Car
Speed
Car
Speed
(km/h)
No.
(km/h)
No.
(km/h)
1
32.5
13
44.6
25
48.7
37
52
2
40.1
14
49.3
26
50.6
38
59
3
36.4
15
47.2
27
55.4
39
54.3
4
50.8
16
52.1
28
53.1
40
61
5
38.9
17
42.7
29
60.2
41
47.7
6
55.5
18
44.2
30
49.9
42
58.2
7
43.3
19
51
31
57.5
43
46.9
8
46.8
20
47.9
32
62.5
44
50
9
39.7
21
41.5
33
40.8
45
48.3
10
50.2
22
53.6
34
44.5
46
45.4
11
56.4
23
50.9
35
58.3
47
51.9
12
34.7
24
48.4
36
49.2
48
60.1
Note: Use Microsoft Excel to solve the problem and calculate the required speed
characteristics. Be sure to clearly show your steps in the solution. The histogram of
observed vehicles' speeds and the cumulative frequency distribution curve must also be
included.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2ab8249-aeda-4ea9-8a17-c1ed65c71bb7%2Fac366a7e-f6fb-4f1c-8792-6dc80e300f4d%2F5ae16gq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Course Name
Semester
Homework
CVE 350- Transportation Engineering
Fall 2024
1
Problem: Determining Speed Characteristics from a Set of Speed Data [10 points]
The table below shows the speed data collected on an urban highway during a traffic speed
study. Develop the frequency histogram and the frequency distribution of the data and
determine:
1. The arithmetic mean speed
2. The standard deviation
3. The median speed
4. The pace (range within which most vehicles are traveling)
5. The mode or modal speed
6. The 85th-percentile speed
Car
No.
Speed Car
(km/h) No.
Speed
Car
Speed
Car
Speed
(km/h)
No.
(km/h)
No.
(km/h)
1
32.5
13
44.6
25
48.7
37
52
2
40.1
14
49.3
26
50.6
38
59
3
36.4
15
47.2
27
55.4
39
54.3
4
50.8
16
52.1
28
53.1
40
61
5
38.9
17
42.7
29
60.2
41
47.7
6
55.5
18
44.2
30
49.9
42
58.2
7
43.3
19
51
31
57.5
43
46.9
8
46.8
20
47.9
32
62.5
44
50
9
39.7
21
41.5
33
40.8
45
48.3
10
50.2
22
53.6
34
44.5
46
45.4
11
56.4
23
50.9
35
58.3
47
51.9
12
34.7
24
48.4
36
49.2
48
60.1
Note: Use Microsoft Excel to solve the problem and calculate the required speed
characteristics. Be sure to clearly show your steps in the solution. The histogram of
observed vehicles' speeds and the cumulative frequency distribution curve must also be
included.
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