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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 35PPS

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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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