Exercise 1. Using classical statistics describe the structure of monthly turnover of 80 shops [in tousand PLN].Calculate and interpret: arithmetic mean, standard deviation, coefficient of variability, coefficient of asymmetry (skewness) and coefficient of concentration (kurtosis).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
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Exercise 1. Using classical statistics describe the structure of monthly turnover of 80 shops [in tousand PLN].Calculate and interpret: arithmetic mean, standard deviation, coefficient of variability, coefficient of asymmetry (skewness) and coefficient of concentration (kurtosis).

Exercise 2. Using positional statistics describe the structure of monthly turnover of 80 shops [in tousand PLN]Calculate and interpret: median, quartiles, deciles, quartile deviation, positional coefficient of variation, positional coefficient of asymmetry and positional coefficient of concentration.

Perform all calculations for the following data types:

  • individual data,
  • interval groupped data.
51 27 51 59 29 24 44 42
47 24 76 73 68 41 49 47
48 54 49 66 35 34 18 51
62 45 55 43 71 37 52 60
34 67 58 55 69 61 62 60
47 51 75 41 48 26 26 62
55 34 26 67 52 47 34 51
67 57 57 58 51 57 57 55
41 53 48 14 49 79 46 69
72 75 26 59 44 69 69 68

Exercise 3.

  • Calculate Pearson's correlation coefficient between expenditure (Y) and the income per 1 person (X).
  • Build a linear regression model describing the relationship between expenditure (Y) and income per 1 person (X):
    • estimate the structural parameters of the regression model,
    • interprete the regression coefficient,
    • determine the theoretical values and residuals from the estimated model.
Lp. Expenditures Income Lp. Expenditures Income
1 104 547 26 60 467
2 120 684 27 142 744
3 116 525 28 70 442
4 104 659 29 135 703
5 64 524 30 98 590
6 58 334 31 96 656
7 122 683 32 127 655
8 117 508 33 111 581
9 79 302 34 86 558
10 103 567 35 80 301
11 84 543 36 112 608
12 100 450 37 91 561
13 148 587 38 91 495
14 136 780 39 118 584
15 89 411 40 105 387
16 139 675 41 110 578
17 134 671 42 132 797
18 98 467 43 96 430
19 123 570 44 94 696
20 76 456 45 117 619
21 131 586 46 142 818
22 102 408 47 124 503
23 83 514 48 61 293
24 148 636 49 144 524
25 94 525 50 135 750

 

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