In: Statistics and Probability
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 | 
| 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 | |||
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| 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
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Excel command = Data > Data analysis > Descriptive stats > select the data > ok