CityPopulation"Fire/EMS spending per resident""Fire/EMS personnel per 1000 residents"# of fire personnelBoston608,352$452.153.42068San Francisco799,183$315.812.21758Columbus, OH747,755$255.702.11570Seattle594,210$247.751.81070Baltimore637,455$225.982.71721Memphis674,028$220.222.51685Detroit916,952$201.541.61467Nashville590,807$194.431.91123Philadelphia1,449,634$187.631.62319Jacksonville805,605$179.991.51208New York8,274,527$157.561.714067Los Angeles3,834,340$137.800.93451fire/EMS spending per persona) what is the mean amount spent for Fire/EMS services per person in these 12 cities?b) estimate the median amount spent for fire/ems services per person in these 12 cities. c) estimate the mode amount spent for fire/ems services per person in these 12 cities.

Given, City Population "Fire/EMS spending per resident" "Fire/EMS personnel per 1000 residents" # of fire personnel Boston 608,352 $452.15 3.4 2068 San Francisco 799,183 $315.81 2.2 1758 Columbus, OH 747,755 $255.70 2.1 1570 Seattle 594,210 $247.75 1.8 1070 Baltimore 637,455 $225.98 2.7 1721 Memphis 674,028 $220.22 2.5 1685 Detroit 916,952 $201.54 1.6 1467 Nashville 590,807 $194.43 1.9 1123 Philadelphia 1,449,634 $187.63 1.6 2319 Jacksonville 805,605 $179.99 1.5 1208 New York 8,274,527 $157.56 1.7 14067 Los Angeles 3,834,340 $137.80 0.9 3451a) The mean amount spent for Fire/EMS services per person in these 12 cities is calculated as follows: Mean=∑xin=452.15+315.81+255.70+247.75+225.98+220.22+201.54+194.43+187.63+179.99+157.56+137.812=2776.5612=231.38 Thus, the mean amount spent for Fire/EMS services per person in these 12 cities is $231.38. b) The median amount spent for fire/ems services per person in these 12 cities is calculated as follows: Arrange the data in ascending order of magnitude. 137.8 157.56 179.99 187.63 194.43 201.54 220.22 225.98 247.75 255.7 315.81 452.15 Median=n+12thobservation=12+12thobservation=6.5th observation=6thobservation+0.57-6thobservation=201.54+0.5220.22-201.54=201.54+0.518.68=201.54+9.34=210.88 Thus, the median amount spent for fire/ems services per person in these 12 cities is 210.88.c) The mode amount spent for fire/ems services per person in these 12 cities is nothing because there is no repeated observation value in the given data.

Answered: City Population "Fire/EMS spending per…

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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City	Population	"Fire/EMS spending per resident"	"Fire/EMS personnel per 1000 residents"	# of fire personnel
Boston	608,352	$452.15	3.4	2068
San Francisco	799,183	$315.81	2.2	1758
Columbus, OH	747,755	$255.70	2.1	1570
Seattle	594,210	$247.75	1.8	1070
Baltimore	637,455	$225.98	2.7	1721
Memphis	674,028	$220.22	2.5	1685
Detroit	916,952	$201.54	1.6	1467
Nashville	590,807	$194.43	1.9	1123
Philadelphia	1,449,634	$187.63	1.6	2319
Jacksonville	805,605	$179.99	1.5	1208
New York	8,274,527	$157.56	1.7	14067
Los Angeles	3,834,340	$137.80	0.9	3451

fire/EMS spending per person

a) what is the mean amount spent for Fire/EMS services per person in these 12 cities?

b) estimate the median amount spent for fire/ems services per person in these 12 cities.

c) estimate the mode amount spent for fire/ems services per person in these 12 cities.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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