Question

In: Statistics and Probability

The Excel file Burglaries contains data on the number of burglaries before and after a Citizen...

The Excel file Burglaries contains data on the number of burglaries before and after a Citizen Police program. Apply the Descriptive Statistics tool to these data. Does Chebyshev’s theorem hold for the number of monthly burglaries before and after the citizen-police program?

Data :

Before Citizen-Police Program
Month Monthly burglaries
1 60
2 44
3 37
4 54
5 59
6 69
7 108
8 89
9 82
10 61
11 47
12 72
13 87
14 60
15 64
16 50
17 79
18 78
19 62
20 72
21 57
22 57
23 61
24 55
25 56
26 62
27 40
28 44
29 38
30 37
31 52
32 59
33 58
34 69
35 73
36 92
37 77
38 75
39 71
40 68
41 102
After Citizen-Police Program
Month Monthly burglaries
42 88
43 44
44 60
45 56
46 70
47 91
48 54
49 60
50 48
51 35
52 49
53 44
54 61
55 68
56 82
57 71
58 50

  

Solutions

Expert Solution

Monthly burglaries(Before Citizen-Police Program)
Mean 64.31707
Standard Error 2.624797
Median 61
Mode 60
Standard Deviation 16.8069
Sample Variance 282.472
Kurtosis 0.251446
Skewness 0.538088
Range 71
Minimum 37
Maximum 108
Sum 2637
Count 41

______________________________________________________________

Monthly burglaries(After Citizen-Police Program)
Mean 60.64706
Standard Error 3.864375
Median 60
Mode 44
Standard Deviation 15.93322
Sample Variance 253.8676
Kurtosis -0.42961
Skewness 0.511157
Range 56
Minimum 35
Maximum 91
Sum 1031
Count 17

Both after and before are Right skewed graph so, we can apply Chebyshev's Theorem

______________________

Excel command = Data > Data analysis > Descriptive stats > select the data > ok


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