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26 March, 22:39

The article "Determination of Most Representative Subdivision" (J. of Energy Engr., 1993: 43-55) gave data on various characteristics of subdivisions that could be used in deciding whether to provide electrical power using overhead lines or underground lines.

Here are the values of the variable x = total length of streets within a subdivision:

1280 5320 4390 2100 1240 3060 47701050 360 3330 3380 340 1000 9601320 530 3350 540 3870 1250 2400960 1120 2120 450 2250 2320 24003150 5700 5220 500 1850 2460 58502700 2730 1670 100 5770 3150 1890510 240 396 1419 2109

(a) Construct a stem-and-leaf display using the thousands digit as the stem and the hundreds digit as the leaf, and comment on the various features of the display.

(b) Construct a histogram using class boundaries 0, 1000, 2000, 3000, 4000, 5000, and 6000. What proportion of subdivisions have total length less than 2000? Between 2000 and 4000? How would you describe the shape of the histogram?

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Answers (1)
  1. 27 March, 01:32
    0
    Step-by-step explanation:

    The stem and leaf would be like this.

    Stem Leaf

    10 0

    11

    12

    13

    14

    15

    16

    17

    18

    19

    20

    21

    22

    23

    24 0

    25

    26

    27

    28

    29

    30

    31

    32

    33

    34 0

    35

    36 0

    37

    38

    39 6

    40

    41

    42

    43

    44

    45 0

    46

    47

    48

    49

    50 0

    51 0

    52

    53 0

    54 0

    55

    56

    57

    58

    59

    60

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    62

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    82

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    89

    90

    91

    92

    93

    94

    95

    96 0 0

    97

    98

    99

    100 0

    101

    102

    103

    104

    105 0

    106

    107

    108

    109

    110

    111

    112 0

    113

    114

    115

    116

    117

    118

    119

    120

    121

    122

    123

    124 0

    125 0

    126

    127

    128 0

    129

    130

    131

    132 0

    133

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    139

    140

    141 9

    142

    143

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    155

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    167 0

    168

    169

    170

    171

    172

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    176

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    182

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    185 0

    186

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    189 0

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    205

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    209

    210 0 9

    211

    212 0

    213

    214

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    218

    219

    220

    221

    222

    223

    224

    225 0

    226

    227

    228

    229

    230

    231

    232 0

    233

    234

    235

    236

    237

    238

    239

    240 0 0

    241

    242

    243

    244

    245

    246 0

    247

    248

    249

    250

    251

    252

    253

    254

    255

    256

    257

    258

    259

    260

    261

    262

    263

    264

    265

    266

    267

    268

    269

    270 0

    271

    272

    273 0

    274

    275

    276

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    278

    279

    280

    281

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    300

    301

    302

    303

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    305

    306 0

    307

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    314

    315 0 0

    316

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    318

    319

    320

    321

    322

    323

    324

    325

    326

    327

    328

    329

    330

    331

    332

    333 0

    334

    335 0

    336

    337

    338 0

    339

    340

    341

    342

    343

    344

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    347

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    349

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    351

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    381

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    383

    384

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    386

    387 0

    388

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    390

    391

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    439 0

    440

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    473

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    475

    476

    477 0

    478

    479

    480

    481

    482

    483

    484

    485

    486

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    488

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    509

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    518

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    520

    521

    522 0

    523

    524

    525

    526

    527

    528

    529

    530

    531

    532 0

    533

    534

    535

    536

    537

    538

    539

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    541

    542

    543

    544

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    546

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    555

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    558

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    566

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    568

    569

    570 0

    571

    572

    573

    574

    575

    576

    577 0

    578

    579

    580

    581

    582

    583

    584

    585 0

    b) Histogram

    <2000 there are 23

    Proportion is 0.4893

    Between 2000 and 4000 there are 10+7 = 17

    Proportion = 0.3617

    Is in enclosed file
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