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.
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
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
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.
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