Q2. 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. By coincidence, Project B happens to be located in your Sub- County. Given below are seventy allocations to various activities in both projects (in Kshs Billions). Funding for Project A9621803820602150100158106554070701030303566535060803580555049516025909050955080656055203011065506560806450663540606550518136905180505580306096Funding for Project B206659211011083165342035806336958961484425508168595015212954504555806540298120104655160104560359655248060809050655166655470653599648036368044110 Required:a) Classify this information into seven (7) equal classes using the exclusive method with a class interval of 15 and one of the lower-class limits of either of the distributions must be 21. b) The County assembly has accused you of biasness in funds allocation and have called for your impeachment. They allege that on average you have allocated an additional Kshs 5 billionmore for Project B. Based on the mean present your case to the County Assembly that this allegation is not accurate.c) Does your argument in (ii) above change if we apply the median? d) Compute the combined standard deviation of the two projects.

Given Solution: The solution of the given problem is as follows:- (I) Solution:-

Answered: Q2. Suppose you have been appointed the…

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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Q2. 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. By coincidence, Project B happens to be located in your Sub- County. Given below are seventy allocations to various activities in both projects (in Kshs Billions).

Funding for Project A

96	21	80	38	20	60	21	50	100	15
81	06	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 exclusive method with a class interval of 15 and one of the lower-class limits of either of the distributions must be 21.
b) The County assembly has accused you of biasness in funds allocation and have called for your impeachment. They allege that on average you have allocated an additional Kshs 5 billionmore for Project B. Based on the mean present your case to the County Assembly that this allegation is not accurate.
c) Does your argument in (ii) above change if we apply the median?
d) Compute the combined standard deviation of the two projects.

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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