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11 June, 23:05

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. 11 June, 23:32
    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

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    91

    92

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    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

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    128 0

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    130

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    132 0

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    141 9

    142

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    167 0

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    171

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    185 0

    186

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    189 0

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    210 0 9

    211

    212 0

    213

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    219

    220

    221

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    223

    224

    225 0

    226

    227

    228

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    230

    231

    232 0

    233

    234

    235

    236

    237

    238

    239

    240 0 0

    241

    242

    243

    244

    245

    246 0

    247

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    250

    251

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    255

    256

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    258

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    260

    261

    262

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    264

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    266

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    269

    270 0

    271

    272

    273 0

    274

    275

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    280

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    300

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    302

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    305

    306 0

    307

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    315 0 0

    316

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    320

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    327

    328

    329

    330

    331

    332

    333 0

    334

    335 0

    336

    337

    338 0

    339

    340

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    387 0

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    439 0

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    477 0

    478

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    485

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    521

    522 0

    523

    524

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    530

    531

    532 0

    533

    534

    535

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    541

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    555

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    569

    570 0

    571

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    573

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    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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