Compute the following statistical values. a) The speed of each time class in mph (show it in the third column) b) The cumulative percent of vehicles traveling at or below indicated speed shown in the third column in mph (show it in the fourth column) c) Mean or average speed (time-mean speed), median, mode, standard deviation, standard error of the mean, average time, space-mean speed, variance, 15%, and 85% speed. d) Plot the cumulative percentage, and show the statistical values of item c on the graph. e) Plot the frequency distribution curve and show the statistical values on the graph.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Compute the following statistical values.
a) The speed of each time class in mph (show it in the third column)
b) The cumulative percent of vehicles traveling at or below indicated speed shown in
the third column in mph (show it in the fourth column)
c) Mean or average speed (time-mean speed), median, mode, standard deviation,
standard error of the mean, average time, space-mean speed, variance, 15%, and
85% speed.
d) Plot the cumulative percentage, and show the statistical values of item c on the
graph.
e) Plot the frequency distribution curve and show the statistical values on the graph.
Transcribed Image Text:Compute the following statistical values. a) The speed of each time class in mph (show it in the third column) b) The cumulative percent of vehicles traveling at or below indicated speed shown in the third column in mph (show it in the fourth column) c) Mean or average speed (time-mean speed), median, mode, standard deviation, standard error of the mean, average time, space-mean speed, variance, 15%, and 85% speed. d) Plot the cumulative percentage, and show the statistical values of item c on the graph. e) Plot the frequency distribution curve and show the statistical values on the graph.
An example of the statistical treatment of an urban spot speed study is given
below. Table 10.2 shows a set of 130 observations of spot speeds made by
timing vehicles through a "trap" of 88 feet. In this example, the stopwatch
data are grouped into 0.2 sec classes (a 1/5 sec stopwatch was used to obtain
the data). The first column of the table shows the midpoint of each group. The
second column shows the frequency of the observations. The cumulative percent
shown in the third column is obtained by dividing each cumulative frequency
(for example, 8 vehicles took 5 sec or longer to pass through the trap) by
the total number of observations and multiplying by 100 (8 x 100/130 = 6.2
percent). The next two columns are computed to develop the average and variance
of the space distribution. The sixth column indicates the speed of each
time class and the last two columns are used to obtain the average speed
and variance of the time distribution.
Spot Speed Study Calculations
(1)
(2)
Number
Time*
(sec)
of Obser-
(3)
Cumula-
tivet
(4)
(5)
(6)
(7)
(8)
Speed
vations
Percent
(mph)
"
P
fr
Salla
S.
1
100.0
2.0
4.0
30.0
30.0
900.
2
99.2
4.4
9.7
27.3
54.6
1491.
97.7
4.8
11.5
25.0
50.0
1250.
96.2
10.4
27.0
23.1
25.1
92.4
2134.
93.1
19.6
$4.9
21.4
149.8
3206.
87.7
45.0
135.0
20.0
300.0
6000.
6000.
76.2
70.4
225.3
18.8
413.6
7776.
7776.
59.2
54.4
185.0
17.6
281.6
4956.
4936.
46.9
43.2
155.5
16.7
10.
3.8
37.7
200.4
3347.
41.8
158.8
15.8
173.8
2746.
11.
4.0
29.2
36.0
144.0
15.0
135.0
2025.
12.
4.2
22.3
29.4
123.5
14.3
100.1
1431.
13.
4.4
16.9
22.0
96.8
13.6
68.0
925.
14.
4.6
13.1
27.6
127.0
13.0
15.
4.8
8.5
14.4
69.1
78.0
1014.
12.5
37.5
469.
16.
5.0
6.2
0.0
0.0
12.0
0.0
0.
17.
5.2
6.2
10.4
54.1
11.5
23.0
264.
18.
5.4
4.6
16.2
87.5
11.1
33.3
370.
19.
5.6
1
2.3
5.6
31.4
10.7
10.7
114.
20.
5.8
0
1.5
0.0
0.0
10.3
0.0
0.
21.
6.0
1
1.5
6.0
36.0
10.0
10.0
100.
22.
6.2
1
0.8
6.2
38.4
9.7
9.7
94.
Sum
130
469.8
1774.5
2251.5
40612.
*Range of times measured is value shown ±0.1 sec.
+Accumulated from slow speed end of distribution.
*Range of times measured is value shown + 0.1 sec.
+Accumulated from slow speed end of distribution.
Transcribed Image Text:An example of the statistical treatment of an urban spot speed study is given below. Table 10.2 shows a set of 130 observations of spot speeds made by timing vehicles through a "trap" of 88 feet. In this example, the stopwatch data are grouped into 0.2 sec classes (a 1/5 sec stopwatch was used to obtain the data). The first column of the table shows the midpoint of each group. The second column shows the frequency of the observations. The cumulative percent shown in the third column is obtained by dividing each cumulative frequency (for example, 8 vehicles took 5 sec or longer to pass through the trap) by the total number of observations and multiplying by 100 (8 x 100/130 = 6.2 percent). The next two columns are computed to develop the average and variance of the space distribution. The sixth column indicates the speed of each time class and the last two columns are used to obtain the average speed and variance of the time distribution. Spot Speed Study Calculations (1) (2) Number Time* (sec) of Obser- (3) Cumula- tivet (4) (5) (6) (7) (8) Speed vations Percent (mph) " P fr Salla S. 1 100.0 2.0 4.0 30.0 30.0 900. 2 99.2 4.4 9.7 27.3 54.6 1491. 97.7 4.8 11.5 25.0 50.0 1250. 96.2 10.4 27.0 23.1 25.1 92.4 2134. 93.1 19.6 $4.9 21.4 149.8 3206. 87.7 45.0 135.0 20.0 300.0 6000. 6000. 76.2 70.4 225.3 18.8 413.6 7776. 7776. 59.2 54.4 185.0 17.6 281.6 4956. 4936. 46.9 43.2 155.5 16.7 10. 3.8 37.7 200.4 3347. 41.8 158.8 15.8 173.8 2746. 11. 4.0 29.2 36.0 144.0 15.0 135.0 2025. 12. 4.2 22.3 29.4 123.5 14.3 100.1 1431. 13. 4.4 16.9 22.0 96.8 13.6 68.0 925. 14. 4.6 13.1 27.6 127.0 13.0 15. 4.8 8.5 14.4 69.1 78.0 1014. 12.5 37.5 469. 16. 5.0 6.2 0.0 0.0 12.0 0.0 0. 17. 5.2 6.2 10.4 54.1 11.5 23.0 264. 18. 5.4 4.6 16.2 87.5 11.1 33.3 370. 19. 5.6 1 2.3 5.6 31.4 10.7 10.7 114. 20. 5.8 0 1.5 0.0 0.0 10.3 0.0 0. 21. 6.0 1 1.5 6.0 36.0 10.0 10.0 100. 22. 6.2 1 0.8 6.2 38.4 9.7 9.7 94. Sum 130 469.8 1774.5 2251.5 40612. *Range of times measured is value shown ±0.1 sec. +Accumulated from slow speed end of distribution. *Range of times measured is value shown + 0.1 sec. +Accumulated from slow speed end of distribution.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman