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Title: HNC HND in Mechanical Electrical Electronic Engineering Unit 1 - Analytical Methods for Engineers
Description: HNC HND in Mechanical Electrical Electronic Engineering Unit 1 - Analytical Methods for Engineers
Description: HNC HND in Mechanical Electrical Electronic Engineering Unit 1 - Analytical Methods for Engineers
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Tom Obrien
HNC Level 4
Unit Number and title: Unit 1
Analytical Methods for Engineers
Assignment Title: Statistics and
Probability
Assignment Number: 4
Date: January 2016
1
Tom Obrien
HNC Level 4
Contents Page:
Page 1:
Page 2:
-
Title Page
-
Contents Page
-
Task 4
...
2
-
Task 4
...
4
Page 3 to 4:
Page 5:
Page 6 to 8:
Page 9:
2
Tom Obrien
HNC Level 4
3
4
...
5
4
...
5
6
...
5
8
...
4
Using the data given in the assignment I made a histogram which gives a model value equal to 6
...
2)
Height
165
(mm)
Frequency 5
166
167
168
169
170
171
172
173
174
175
176
177
14
18
28
36
29
29
24
19
15
6
3
2
Height (mm)
Frequency
165
166
167
168
169
170
171
172
173
174
175
176
177
5
14
18
28
36
29
29
24
19
15
6
3
2
Cumulative
Frequency
5
19
37
65
101
130
159
183
202
217
223
226
228
Less than
More than
5
19
37
65
101
130
159
183
202
217
223
226
228
228
214
196
168
132
103
74
50
31
16
10
7
5
Tom Obrien
HNC Level 4
Graph 2
144
Cumulative Frequency
250
200
150
100
50
0
Less Less Less Less Less Less Less Less Less Less Less Less Less
than than than than than than than than than than than than than
165 166 167 168 169 170 171 172 173 174 175 176 177
Height (mm)
Less than 170
...
5
The median for the cumulative frequency is 144, giving the less than as 170
...
5
...
2
3)
23
50
64
23
54
71
25
55
72
31
56
74
32
56
75
32
57
76
48
58
77
49
59
78
50
62
79
50
63
80
There are a total of 30 members in ranked order above
...
When split into 10 equal groups the 8th decile group is 71, 72 and 74
...
34
2
...
34
2
...
43
2
...
50
3
...
90
3
...
13
3
...
9
3
...
87
=
3
...
09
3
...
09
3
...
09
3
...
09
3
...
09
Total: 3
...
50
...
27
2
...
25
-0
...
34
-0
...
59
0
...
19
-0
...
04
0
...
04
− )
∑(xi − x)
n−1
0
...
089
10 − 1
Standard Deviation = √0
...
2983286778
3
...
46
− )
0
...
0169
0
...
0484
0
...
0324
0
...
0025
0
...
1369
Total: 0
...
3
5)
Time of treatment (hours) (X)
Depth of case (mm) (Y)
10
0
...
26
30
0
...
45
50
0
...
62
Mean = (x and y)
x = 35
y = 0
...
3933 =
∑(x − x) (y − )
∑(x − )
-25
-0
...
133
225
-5
-0
...
057
25
15
0
...
227
625
6
...
995
0
...
285
2
...
675
=
+ (0
...
3933 − 0
...
01376
104
...
01085
9625
=
+
̅
= 0
...
01085
Tom Obrien
HNC Level 4
7
0
...
6
0
...
4
Depth
Series1
of case
Mean
Regression line
0
...
2
0
...
2
-83
...
44
7022
...
56
| |=
√1 −
8
62
-0
...
8
0
...
44
4
...
8
33
...
84
1102
...
96
1751
...
8)(31458
...
2
-62
...
24
3943
...
96
=
8
62
∑( − ̅ )( − )
=
Load (N) – X
Extension (mm) - Y
−
−
( − )
( − )
( − ) × ( − )
5
23
=
0
...
948
15
223
6
...
2
46
...
84
932
...
973796
=
1
...
1592
0
...
2
Mean = 85
...
4
7)
Standard deviation of means =
=
0
...
004 × 0
...
995196636 × 10
Np − N
Np − 1
= 0
Title: HNC HND in Mechanical Electrical Electronic Engineering Unit 1 - Analytical Methods for Engineers
Description: HNC HND in Mechanical Electrical Electronic Engineering Unit 1 - Analytical Methods for Engineers
Description: HNC HND in Mechanical Electrical Electronic Engineering Unit 1 - Analytical Methods for Engineers