Suppose you have been appointed the County Executive in charge of finance in your County. You have allocated funding to two projects, Project A and Project B. Given below are seventy allocations to various activities in both projects (in Kshs Billions). Funding for Project A 97 21 80 38 20 60 21 50 100 15 81 08 55 40 70 70 10 30 30 35 66 53 50 60 80 35 80 55 50 49 51 60 25 90 90 50 95 50 80 65 60 55 20 30 110 65 50 65 60 80 64 50 66 35 40 60 65 50 51 81 36 90 51 80 50 55 80 30 60 96 Funding for Project B 20 66 59 21 101 108 31 65 34 20 35 80 63 36 95 89 61 48 44 25 50 81 68 59 50 15 21 29 54 50 45 55 80 65 40 29 81 20 104 65 51 60 10 45 60 35 96 55 24 80 60 80 90 50 65 51 66 65 54 70 65 35 99 64 80 36 36 80 44 110 Required: a) Classify this information into seven (7) equal classes using the inclusive method with a class interval of 15 and one of the lower-class limits of either of the distributions must be 21. b) Which of the two projects on has the higher mean allocation? Compute the combined mean. c) Does your argument in (b) above change if we apply the median?
Suppose you have been appointed the County Executive in charge of finance in your County. You have allocated funding to two projects, Project A and Project B. Given below are seventy allocations to various activities in both projects (in Kshs Billions).
Funding for Project A
|
97 |
21 |
80 |
38 |
20 |
60 |
21 |
50 |
100 |
15 |
|
81 |
08 |
55 |
40 |
70 |
70 |
10 |
30 |
30 |
35 |
|
66 |
53 |
50 |
60 |
80 |
35 |
80 |
55 |
50 |
49 |
|
51 |
60 |
25 |
90 |
90 |
50 |
95 |
50 |
80 |
65 |
|
60 |
55 |
20 |
30 |
110 |
65 |
50 |
65 |
60 |
80 |
|
64 |
50 |
66 |
35 |
40 |
60 |
65 |
50 |
51 |
81 |
|
36 |
90 |
51 |
80 |
50 |
55 |
80 |
30 |
60 |
96 |
Funding for Project B
|
20 |
66 |
59 |
21 |
101 |
108 |
31 |
65 |
34 |
20 |
|
35 |
80 |
63 |
36 |
95 |
89 |
61 |
48 |
44 |
25 |
|
50 |
81 |
68 |
59 |
50 |
15 |
21 |
29 |
54 |
50 |
|
45 |
55 |
80 |
65 |
40 |
29 |
81 |
20 |
104 |
65 |
|
51 |
60 |
10 |
45 |
60 |
35 |
96 |
55 |
24 |
80 |
|
60 |
80 |
90 |
50 |
65 |
51 |
66 |
65 |
54 |
70 |
|
65 |
35 |
99 |
64 |
80 |
36 |
36 |
80 |
44 |
110 |
Required:
a) Classify this information into seven (7) equal classes using the inclusive method with a class interval of 15 and one of the lower-class limits of either of the distributions must be 21.
b) Which of the two projects on has the higher mean allocation? Compute the combined mean.
c) Does your argument in (b) above change if we apply the median?
d) Compute the combined standard deviation.
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