Download Assignment #4-2

-1Assignment: Lecture 4A-2
Instructions: Please use formula(s) to compute all the questions. Credit will be given
only to problems that contain working steps of calculations.
FORMULAS
Mean = (Sum of All Values)
Total No. of Values
Midrange =
xn / 2  x( n / 21)
For even n, Median =
xmin  xmax
2
Geometric Mean =
n
x1 x2 ... xn
2
For odd n, Median =
x( n 1) / 2
Trimmed Mean  k * n
(where k = percentage)
Mode = Most frequently occurring value
Range =
xmax – xmin
n
Variance =
  xi  x 
2
i 1
n 1
Standard Deviation = Square Root (Variance) =
n
  xi  x 
i 1
n 1
2
-21.) For each data set, find the mean, median, and mode. (10 pts.)
A.) 5, 3, 7, 9, 11, 15, 12, 2, 1, 9
B.) 32, 45, 76, 21, 2, 12, 45, 70, 92, 11, 45, 17, 1, 18, 99
2.) For each data set, find the median, midrange, and geometric mean. (10 pts.)
A.) 5, 3, 7, 9, 11, 15, 12, 2, 1, 9
B.) 32, 45, 76, 21, 2, 12, 45, 70, 92, 11, 5, 17, 1, 18, 99
3.) Answer the following questions. (10 pts.)
A.) Find the mean and a 5% trimmed mean. How many values did you removed in
total (from max. and min.)?
12
55
97
75
2
22
67
42
56
10
21
16
90
86
31
7
32
44
74
27
1
68
72
35
56
5
14
77
78
94
8
18
B.) Find the mean and an 11% trimmed mean. How many values did you removed in
total (from max. and min.)?
2
5
97
65
62
22
37
41
96
10
71
10
50
96
31
67
72
44
74
27
71
68
79
35
6
85
14
17
8
84
78
1
C.) Find the mean and a 2.3% trimmed mean. How many values did you removed in
total (from max. and min.)?
12
5
97
15
2
22
7
42
46
1
21
6
90
86
31
87
32
44
4
27
51
8
72
5
56
75
84
75
7
94
68
28
-34.) Find the range for the following. (10 pts.)
A.)
12
55
97
75
2
22
67
42
56
10
21
16
90
86
31
99
32
44
74
27
11
68
72
35
56
5
14
77
78
94
8
18
72
5
97
65
62
22
37
41
96
10
71
10
50
96
31
67
72
44
74
27
71
68
79
35
6
85
14
17
8
84
78
11
12
85
77
15
2
22
7
42
46
1
21
6
90
86
31
87
32
44
4
27
51
8
72
5
56
75
84
75
7
93
68
28
B.)
C.)
5.) Find the mean, variance, and standard deviation for each sample. (10 pts.)
A.) 1, 3, 5, 7, 9
B.) 5, 3, 7, 9, 11, 15, 12, 2, 1, 9
C.) 1.5, 2.9, 4.5, 1.2, 1. 9