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?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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