MTH 156 Harvard School of Business World Populations Discussion

I attached the Excel file with the information for this assignment.Thank you.

Option 2: World Populations

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Instructions

Today there are 195 sovereign countries in the world that are officially recognized. One can choose to look at many types of data coming from these countries, as there is a plethora of existing information. For this assignment you will be looking at populations of cities within Italy at five different times (depending on when a census was taken). The data for these cities can be found in the file named Populations. Use all of the data points for each of the years given, but please note that not every city has a population for each census.

Prepare a report (see below) using the numerical methods of descriptive statistics presented in this module to show how the populations of the cities vary over the years (growth rates). Be sure to include the following three (3) items in your report.

  • Compute descriptive statistics for each of the years along with an explanation of what the descriptive statistics tell us about the different years. Are they continually growing, or is there a decrease in the number of people? The descriptive statistics will include the mean, mode, range, standard deviation, and the 5-number summary (minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum).
  • Determine which cities, if any, should be considered outliers in each of the years? If there are any outliers in any year, please list them and state for which year each one is an outlier. Use the z-score method to determine outliers for this question showing the z-score calculations for each city and year in your spreadsheet.
  • Determine the correlation coefficient between the first year and each of the other years. Please provide an explanation of the relationships. Show your calculations for each correlation coefficient within the spreadsheet.
  • Poland
    Cities
    Name
    Aleksandrów Łódzki
    Andrychów
    Augustów
    Bartoszyce
    Będzin
    Bełchatów
    Biała Podlaska
    Białogard
    Białystok
    Bielawa
    Bielsko-Biała
    Bielsk Podlaski
    Bieruń
    Biłgoraj
    Bochnia
    Bolesławiec
    Brodnica
    Brzeg
    Bydgoszcz
    Bytom
    Chełm
    Chełmno
    Chodzież
    Chojnice
    Chorzów
    Chrzanów
    Ciechanów
    Cieszyn
    Czechowice-Dziedzice
    Czeladź
    Czerwionka-Leszczyny
    Częstochowa
    Dąbrowa Górnicza
    Dębica
    Działdowo
    Dzierżoniów
    Elbląg
    Ełk
    Gdańsk
    Gdynia
    Population
    Population
    Administrative Regions
    31/Dec/1980
    31/Dec/1992
    17,000
    20,251
    LOD
    19,400
    23,144
    MAL
    24,300
    29,089
    POD
    20,700
    25,694
    WAR
    75,000
    64,117
    SLA
    27,700
    58,314
    LOD
    39,600
    55,065
    LUB
    22,500
    24,437
    ZAC
    224,200
    274,095
    POD
    32,300
    34,851
    DOL
    163,800
    179,689
    SLA
    20,700
    26,605
    POD
    21,830
    SLA

    20,600
    25,991
    LUB
    24,400
    29,245
    MAL
    39,800
    44,573
    DOL
    22,000
    26,953
    KUJ
    35,800
    39,396
    OPO
    348,600
    383,568
    KUJ
    234,300
    229,243
    SLA
    53,000
    68,023
    LUB
    19,700
    21,777
    KUJ
    18,300
    20,335
    WIE
    32,000
    39,436
    POM
    150,100
    128,832
    SLA
    35,600
    42,125
    MAL
    33,800
    45,054
    MAZ
    33,900
    36,937
    SLA
    31,500
    35,607
    SLA
    35,400
    36,995
    SLA
    26,200
    29,919
    SLA
    234,700
    259,556
    SLA
    141,400
    131,552
    SLA
    33,900
    48,042
    PDK
    15,400
    20,473
    WAR
    36,300
    38,428
    DOL
    110,200
    127,324
    WAR
    38,200
    53,804
    WAR
    456,700
    461,680
    POM
    236,400
    250,171
    POM
    Giżycko
    Gliwice
    Głogów
    Gniezno
    Goleniów
    Gorlice
    Gorzów Wielkopolski
    Gostyń
    Gostynin
    Grajewo
    Grodzisk Mazowiecki
    Grudziądz
    Gryfino
    Hajnówka
    Iława
    Inowrocław
    Jarocin
    Jarosław
    Jasło
    Jastrzębie-Zdrój
    Jawor
    Jaworzno
    Jelenia Góra
    Józefów
    Kalisz
    Kamienna Góra
    Katowice
    Kędzierzyn-Koźle
    Kętrzyn
    Kielce
    Kłodzko
    Kluczbork
    Knurów
    Kobyłka
    Koło
    Kołobrzeg
    Konin
    Końskie
    Kościan
    Kościerzyna
    Koszalin
    Kozienice
    Kraków [Krakow]
    Kraśnik
    Krasnystaw
    Krosno
    Krotoszyn
    WAR
    SLA
    DOL
    WIE
    ZAC
    MAL
    LBU
    WIE
    MAZ
    POD
    MAZ
    KUJ
    ZAC
    POD
    WAR
    KUJ
    WIE
    PDK
    PDK
    SLA
    DOL
    SLA
    DOL
    MAZ
    WIE
    DOL
    SLA
    OPO
    WAR
    SWI
    DOL
    OPO
    SLA
    MAZ
    WIE
    ZAC
    WIE
    SWI
    WIE
    POM
    ZAC
    MAZ
    MAL
    LUB
    LUB
    PDK
    WIE

    24,100
    197,500
    53,700
    62,400
    19,100
    23,800
    105,900
    15,700
    16,000
    15,800
    23,300
    90,100
    15,300
    19,200
    23,500
    66,100
    21,200
    36,000
    30,300
    98,500
    18,700
    89,300
    86,900
    14,600 …
    98,900
    22,400
    355,100
    69,700
    26,200
    185,300
    29,200
    21,800
    40,800

    19,600
    38,200
    67,700
    18,300
    21,400
    18,700
    93,500
    16,200
    715,700
    31,200
    16,900
    39,100
    24,200
    29,558
    214,389
    73,384
    70,630
    22,248
    29,872
    124,551
    20,268
    20,013
    22,057
    24,833
    103,438
    21,680
    24,179
    32,179
    79,051
    25,663
    41,865
    38,498
    104,202
    25,386
    98,474
    93,013
    106,551
    23,606
    359,887
    70,991
    30,266
    213,651
    30,835
    26,800
    44,729
    23,581
    46,152
    81,460
    21,907
    24,392
    22,930
    110,793
    21,377
    744,032
    36,897
    20,298
    49,380
    28,414
    Kutno
    Kwidzyn
    Łaziska Górne
    Lębork
    Łęczna
    Legionowo
    Legnica
    Leszno
    Łódź [Lodz]
    Łomża
    Łowicz
    Lubań
    Lubartów
    Lubin
    Lublin
    Lubliniec
    Luboń
    Łuków
    Malbork
    Marki
    Mielec
    Mikołów
    Mińsk Mazowiecki
    Mława
    Mrągowo
    Mysłowice
    Myszków
    Nakło nad Notecią
    Nowa Ruda
    Nowa Sól
    Nowy Dwór Mazowiecki
    Nowy Sącz
    Nowy Targ
    Nysa
    Oława
    Oleśnica
    Olkusz
    Olsztyn
    Opoczno
    Opole
    Orzesze
    Ostróda
    Ostrołęka
    Ostrowiec Świętokrzyski
    Ostrów Mazowiecka
    Ostrów Wielkopolski
    Oświęcim
    LOD
    POM
    SLA
    POM
    LUB
    MAZ
    DOL
    WIE
    LOD
    POD
    LOD
    DOL
    LUB
    DOL
    LUB
    SLA
    WIE
    LUB
    POM
    MAZ
    PDK
    SLA
    MAZ
    MAZ
    WAR
    SLA
    SLA
    KUJ
    DOL
    LBU
    MAZ
    MAL
    MAL
    OPO
    DOL
    DOL
    MAL
    WAR
    LOD
    OPO
    SLA
    WAR
    MAZ
    SWI
    MAZ
    WIE
    MAL
    41,400
    32,600
    19,300
    29,200
    5,800
    39,700
    89,600
    49,200
    835,700
    40,800
    25,200
    21,200
    16,500
    67,100
    304,400
    22,300
    19,700
    24,700
    34,400
    15,900 …
    43,100
    33,300
    28,700
    23,100
    17,100
    79,800
    25,500
    19,900
    25,400
    38,500
    22,300
    64,100
    28,000
    41,700
    29,200
    33,100
    28,700
    133,300
    15,500
    116,700
    18,000 …
    28,500
    38,000
    65,100
    17,500
    62,500
    44,900
    50,940
    37,667
    23,011
    35,882
    21,150
    50,617
    106,579
    60,168
    838,367
    61,527
    31,040
    24,265
    23,063
    82,794
    350,377
    26,356
    20,360
    31,676
    40,237
    63,661
    36,928
    34,468
    29,776
    22,231
    93,140
    33,925
    20,145
    27,313
    43,102
    26,948
    80,482
    33,413
    48,540
    31,707
    38,618
    40,478
    164,882
    21,354
    129,554
    34,911
    52,383
    79,328
    21,333
    74,075
    44,874
    Otwock
    Ozorków
    Pabianice
    Piaseczno
    Piastów
    Piekary Śląskie
    Piła
    Pionki
    Piotrków Trybunalski
    Płock
    Płońsk
    Police
    Polkowice
    Poznań
    Prudnik
    Pruszcz Gdański
    Pruszków
    Przemyśl
    Pszczyna
    Puławy
    Pyskowice
    Racibórz
    Radom
    Radomsko
    Rawicz
    Reda
    Ruda Śląska
    Rumia
    Rybnik
    Rydułtowy
    Rzeszów
    Sandomierz
    Sanok
    Siedlce
    Siemianowice Śląskie
    Sieradz
    Skarżysko-Kamienna
    Skawina
    Skierniewice
    Słupsk
    Sochaczew
    Sopot
    Sosnowiec
    Śrem
    Środa Wielkopolska
    Stalowa Wola
    Starachowice
    MAZ
    LOD
    LOD
    MAZ
    MAZ
    SLA
    WIE
    MAZ
    LOD
    MAZ
    MAZ
    ZAC
    DOL
    WIE
    OPO
    POM
    MAZ
    PDK
    SLA
    LUB
    SLA
    SLA
    MAZ
    LOD
    WIE
    POM
    SLA
    POM
    SLA
    SLA
    PDK
    SWI
    PDK
    MAZ
    SLA
    LOD
    SWI
    MAL
    LOD
    POM
    MAZ
    POM
    SLA
    WIE
    WIE
    PDK
    SWI
    47,400
    19,500
    70,500
    23,000
    20,400
    64,300
    58,900
    17,200
    72,100
    102,600
    16,200
    24,800
    18,000
    552,900
    22,500
    18,500
    49,300
    61,300
    35,900
    46,000
    20,400
    55,500
    191,100
    40,400
    19,000

    43,201
    21,936
    76,014
    24,468
    23,524
    67,743
    74,433
    21,791
    81,320
    125,005
    22,273
    33,631
    21,185
    582,919
    24,510
    21,093
    52,944
    68,304
    34,073
    54,286
    21,924
    64,327
    230,374
    50,901
    21,412

    159,100
    26,700
    122,700

    121,300
    20,500
    30,800
    54,800
    77,100
    31,300
    43,700
    21,200
    32,400
    86,100
    32,000
    51,300
    246,100
    21,900
    17,400
    54,800
    49,000
    167,685
    38,379
    143,125
    24,075
    156,739
    26,390
    41,020
    72,963
    79,631
    43,821
    51,341
    23,904
    47,188
    102,036
    39,420
    44,978
    251,279
    28,912
    21,073
    71,173
    57,285
    Stargard Szczeciński
    Starogard Gdański
    Strzelce Opolskie
    Suwałki
    Swarzędz
    Świdnica
    Świdnik
    Świebodzice
    Świebodzin
    Świecie
    Świętochłowice
    Świnoujście
    Szczecin
    Szczecinek
    Szczytno
    Tarnobrzeg
    Tarnów
    Tarnowskie Góry
    Tczew
    Tomaszów Lubelski
    Tomaszów Mazowiecki
    Toruń
    Trzebinia
    Turek
    Tychy
    Wągrowiec
    Wałbrzych
    Wałcz
    Warszawa [Warsaw]
    Wejherowo
    Wieliczka
    Wieluń
    Włocławek
    Wodzisław Śląski
    Wołomin
    Wrocław
    Września
    Wyszków
    Ząbki
    Zabrze
    Żagań
    Zakopane
    Zambrów
    Zamość
    Żary
    Zawiercie
    Zduńska Wola
    ZAC
    POM
    OPO
    POD
    WIE
    DOL
    LUB
    DOL
    LBU
    KUJ
    SLA
    ZAC
    ZAC
    ZAC
    WAR
    PDK
    MAL
    SLA
    POM
    LUB
    LOD
    KUJ
    MAL
    WIE
    SLA
    WIE
    DOL
    ZAC
    MAZ
    POM
    MAL
    LOD
    KUJ
    SLA
    MAZ
    DOL
    WIE
    MAZ
    MAZ
    SLA
    LBU
    MAL
    POD
    LUB
    LBU
    SLA
    LOD
    59,200
    72,191
    44,200
    50,130
    19,700
    21,900
    40,700
    63,913
    14,800
    24,278
    56,900
    64,300
    32,000
    40,072
    22,800
    24,726
    18,400
    22,506
    22,400
    26,806
    58,700
    60,234
    47,100
    43,252
    388,300
    416,402
    35,700
    41,979
    23,200
    27,167
    37,300
    49,982
    105,100
    121,894
    66,700
    76,920
    53,600
    59,860
    16,300
    20,767
    63,400
    69,868
    174,400
    201,806
    20,300 …
    23,500
    30,198
    166,600
    136,643
    19,200
    23,789
    133,500
    140,595
    22,800
    26,549
    1,596,100
    1,644,515
    42,400
    47,266
    17,100 …
    18,300
    25,238
    106,800
    122,309
    105,500
    88,368
    30,900
    36,359
    617,700
    640,663
    23,500
    28,375
    16,600
    24,532
    17,300 …
    196,000
    203,524
    23,900
    28,050
    28,800
    28,257
    17,400
    23,047
    46,800
    64,279
    35,400
    40,814
    62,600
    56,521
    39,000
    45,754
    Zgierz
    Zgorzelec
    Zielona Góra
    Żory
    Żyrardów
    Żywiec
    LOD
    DOL
    LBU
    SLA
    MAZ
    SLA
    53,100
    33,300
    101,100
    47,500
    37,200
    28,300
    59,004
    36,500
    115,134
    66,188
    43,499
    32,159
    Population
    Population
    Population
    20/May/2002 31/Mar/2011 31/Dec/2013
    20,220
    21,085
    21,245
    22,187
    21,530
    21,111
    29,705
    30,802
    30,610
    25,771
    25,022
    24,527
    59,210
    59,069
    58,425
    63,122
    60,485
    59,565
    58,311
    58,009
    57,658
    24,544
    24,919
    24,722
    291,383
    294,001
    295,282
    32,017
    31,699
    31,186
    178,028
    174,534
    173,699
    27,115
    26,679
    26,336
    20,094
    19,876
    19,696
    26,380
    27,291
    27,169
    29,388
    30,187
    30,219
    41,579
    40,209
    39,603
    27,252
    28,416
    28,579
    39,023
    37,438
    36,980
    373,804
    363,926
    359,428
    193,546
    176,902
    173,439
    68,909
    66,362
    65,481
    20,655
    20,934
    20,622
    19,750
    19,715
    19,399
    39,448
    40,447
    40,226
    117,430
    111,692
    110,761
    40,880
    38,829
    38,117
    46,452
    45,481
    44,797
    36,640
    36,248
    35,918
    35,151
    35,445
    35,684
    34,957
    33,745
    32,940
    28,956
    28,626
    28,480
    251,436
    236,796
    232,318
    132,236
    125,905
    123,994
    47,678
    47,217
    46,854
    20,777
    21,619
    21,552
    35,437
    34,952
    34,428
    128,134
    124,668
    122,899
    55,224
    59,044
    59,790
    461,334
    460,276
    461,531
    253,458
    249,139
    248,042
    29,735
    203,814
    70,490
    70,029
    22,421
    29,005
    125,914
    20,708
    19,577
    22,898
    25,802
    100,376
    21,928
    22,545
    32,544
    77,986
    25,897
    40,235
    37,916
    97,116
    24,762
    96,826
    89,339
    16,869
    109,498
    21,984
    327,222
    67,097
    28,743
    212,429
    29,173
    26,595
    40,584
    17,110
    23,552
    44,947
    82,353
    21,338
    24,098
    23,105
    108,709
    19,036
    758,544
    36,648
    19,748
    48,372
    29,351
    30,178
    187,474
    69,608
    70,322
    22,869
    28,819
    124,534
    20,318
    19,344
    22,521
    29,363
    98,726
    21,700
    22,274
    33,321
    76,086
    26,324
    39,857
    37,071
    92,465
    24,340
    94,732
    83,860
    19,476
    105,386
    20,734
    310,764
    64,153
    28,466
    202,196
    28,750
    24,962
    39,595
    19,940
    23,360
    47,129
    78,525
    20,920
    24,194
    23,765
    109,248
    18,682
    757,611
    36,370
    19,692
    47,471
    29,627
    29,947
    185,450
    68,997
    69,883
    22,776
    28,415
    124,344
    20,183
    19,092
    22,246
    29,907
    97,676
    21,578
    21,559
    33,338
    75,001
    26,311
    39,138
    36,363
    91,235
    23,937
    93,708
    81,985
    19,914
    103,997
    20,014
    304,362
    63,194
    28,051
    199,870
    27,997
    24,544
    39,090
    20,855
    23,026
    46,897
    77,224
    20,281
    24,011
    23,701
    109,170
    18,277
    758,992
    35,788
    19,539
    47,223
    29,397
    48,741
    37,439
    22,070
    35,252
    22,166
    50,420
    107,100
    63,660
    789,318
    63,936
    30,735
    22,852
    23,166
    78,544
    357,110
    24,601
    24,726
    30,819
    38,545
    21,032
    61,728
    38,096
    36,341
    29,422
    22,074
    75,712
    33,235
    19,699
    25,071
    41,176
    27,361
    84,477
    33,034
    48,145
    31,154
    37,276
    38,173
    173,102
    22,589
    129,946
    18,667
    33,769
    54,238
    75,639
    22,431
    73,568
    41,946
    46,429
    38,632
    22,279
    35,789
    20,703
    53,526
    103,238
    64,630
    728,892
    63,203
    29,880
    22,301
    22,773
    75,357
    349,103
    24,394
    29,832
    31,040
    39,387
    27,066
    61,549
    39,505
    39,347
    30,859
    22,324
    75,446
    32,817
    19,542
    23,896
    40,369
    28,156
    84,290
    33,812
    45,681
    31,847
    37,118
    37,319
    174,645
    22,583
    122,625
    19,539
    34,060
    53,572
    73,681
    22,842
    72,810
    40,342
    45,657
    38,867
    22,460
    35,526
    19,926
    54,231
    101,992
    64,589
    711,332
    62,711
    29,420
    21,921
    22,543
    74,053
    343,598
    24,316
    30,676
    30,757
    39,022
    29,032
    61,096
    39,776
    39,880
    30,880
    22,190
    75,129
    32,619
    19,193
    23,236
    39,721
    28,287
    83,943
    33,672
    44,899
    32,240
    37,303
    36,724
    174,675
    22,188
    120,146
    20,000
    33,963
    52,917
    72,277
    22,796
    72,890
    39,664
    42,621
    21,022
    72,974
    33,031
    23,510
    60,909
    75,074
    20,387
    80,979
    128,361
    22,245
    34,522
    21,869
    578,886
    23,681
    22,724
    54,505
    68,095
    25,774
    50,607
    19,574
    59,495
    229,699
    49,861
    21,466
    17,468
    150,595
    43,697
    142,731
    22,047
    160,376
    25,633
    40,039
    76,656
    74,269
    44,636
    50,464
    23,812
    48,537
    99,943
    38,365
    41,927
    232,622
    30,394
    21,596
    67,555
    54,615
    44,808
    20,507
    69,177
    42,378
    22,966
    57,917
    74,775
    19,840
    76,717
    124,553
    22,565
    34,036
    22,802
    554,696
    22,256
    27,787
    58,144
    65,000
    26,066
    49,941
    18,770
    56,289
    221,287
    48,362
    21,183
    21,579
    142,510
    46,714
    140,924
    22,070
    179,386
    24,894
    39,511
    76,333
    70,170
    43,903
    48,580
    24,253
    48,622
    95,882
    38,141
    38,690
    216,420
    30,343
    22,325
    65,182
    52,359
    45,044
    20,175
    67,688
    44,869
    22,826
    57,148
    74,609
    19,382
    75,903
    122,815
    22,494
    33,625
    22,638
    548,028
    21,778
    28,858
    59,570
    63,638
    25,999
    49,100
    18,642
    55,930
    218,466
    47,643
    20,846
    23,135
    141,521
    47,374
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    21,847
    183,108
    24,552
    39,027
    76,347
    68,844
    43,356
    47,538
    24,260
    48,634
    93,936
    37,480
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    211,275
    30,152
    22,572
    63,692
    51,158
    71,367
    49,037
    20,839
    68,923
    28,486
    61,342
    40,187
    23,540
    21,922
    25,975
    56,410
    41,796
    415,399
    39,328
    26,419
    50,287
    119,913
    62,393
    59,857
    20,462
    67,554
    211,243
    19,172
    29,909
    132,816
    24,350
    130,268
    26,476
    1,689,201
    44,989
    18,228
    24,645
    121,229
    49,784
    36,483
    640,367
    28,631
    26,511
    21,866
    195,293
    26,781
    28,203
    23,009
    67,160
    39,421
    54,037
    45,056
    69,966
    49,191
    18,868
    69,239
    30,928
    60,437
    40,710
    23,292
    22,166
    26,650
    53,150
    41,480
    410,131
    40,787
    25,254
    48,821
    114,053
    60,847
    60,889
    20,518
    65,998
    204,954
    20,392
    29,059
    129,378
    25,327
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    26,435
    1,700,612
    49,922
    20,559
    24,033
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    37,397
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    29,526
    27,312
    28,857
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    26,791
    27,857
    22,812
    65,966
    39,365
    52,091
    44,213
    69,328
    48,621
    18,451
    69,317
    31,084
    59,182
    40,225
    23,152
    22,064
    26,395
    51,824
    41,371
    408,172
    40,620
    24,489
    48,217
    112,120
    60,957
    60,610
    19,983
    64,893
    203,447
    20,302
    28,100
    128,799
    25,178
    117,926
    26,231
    1,724,404
    50,340
    21,318
    23,546
    114,885
    48,731
    37,505
    632,067
    29,552
    27,222
    31,884
    178,357
    26,492
    27,721
    22,451
    65,255
    38,856
    51,258
    43,615
    58,393
    33,799
    118,293
    63,461
    41,734
    32,048
    58,306
    32,525
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    62,094
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    32,448
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    31,890
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    32,083

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