Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 1989 237.1 221 307.8 51.8 199.9 507.2 194.8 108.1 62.1 180.7 234.2 106.8 1990 286.6 170.1 304.3 361.5 193.6 213.8 416.3 257.1 43.2 13.8 238.2 390.8 1991 126.6 52.6 80.5 166.2 78.1 249.3 278.5 321.8 128.7 54.4 47.8 191.2 1992 181.6 72.7 100 99.9 293.4 197.2 183.5 269.5 56.3 54.4 51.5 146.5 1993 302.3 100.5 278 36.6 223.4 373 162.2 149.1 72.7 65.7 589.1 282 1994 260 103.2 173.3 61.2 318.7 208.6 387.1 138.2 94.6 170.5 244.6 123.7 1995 62.9 57.4 88.5 13.6 185.6 417.1 255.9 91.7 20.5 40.1 286.2 177 1996 280.1 196.6 78.2 24.6 409.7 528.8 272.4 135.4 94.3 36.2 184.9 188.6 1997 414.8 253.2 708 99.4 342 138.3 249.9 16.2 2.1 26.6 41.1 78.3 1998 71.8 18.2 23.1 145.2 291.5 342 108.4 229.7 46.5 124.4 253.9 351.9 1999 273.4 81 138.2 195.8 190.3 214.8 236.4 399.1 43.7 114 40.5 367.8 2000 565 132.3 126.1 344.8 241.4 438.6 222.2 201.5 98.1 28.4 200.8 166.6 2001 58.1 21.6 32 169.2 204.8 340.8 241.4 94.7 182.1 59.8 100 87.7 2002 157.8 81.2 97 237.4 259.4 451.8 160.8 167.8 86.5 80.4 177.5 104.1 2003 36.2 29.2 28.3 27.4 370.8 355.8 322.1 96.7 29.1 11.7 143.8 306.6 2004 162.3 124 54 320.4 407.4 255.6 377.2 117 110.6 61.8 26.4 404.6 2005 1,108.20 203.7 78.5 219.6 296 102.8 380.5 57.3 55.4 67.3 229.5 516.7 2006 571.3 73.2 43.8 93.4 477.6 440.8 224.6 116.5 184.2 137.7 209.6 253.6 2007 156.5 26.3 138.3 111.7 433.4 398.1 297.6 375.5 154.1 53.1 179.9 633.7 2008 258.5 365 210.2 145.9 327.6 398.1 406.7 228 62.5 59 155.7 919 2009 151.5 474.7 65.8 316.3 58.3 296.6 213.4 46.3 71.6 99.5 59.5 108.8 2010 20.6 24.7 41 333.3 380.3 247.2 469.1 156.9 160.9 99.4 352 319.4 2011 136.6 413.9 495.9 34 269.9 178.2 182.9 118.3 30.8 194.4 167.4 233.6 2012 387.4 347 32.2 110.7 307.2 238.6 367.8 136.7 31.7 26.9 194.2 290.3 2013 82.7 116.3 27.7 129.2 347 282.2 418.9 289.1 117.9 117.2 220.2 281.7 2014 280.3 153.6 61.2 67.5 125.1 224.1 146.2 194 21.6 49.3 374.2 127.3 2015 206.8 118.8 96.9 64.4 453.3 389.1 510.8 82.1 76.4 52.2 123.1 151 2016 27.3 38.5 34 230.5 203.9 251.3 223.4 178.7 173.3 22.9 93.5 395.2 2017 292 232 169.4 96.6 308.2 409.5 249.7 94.8 113.7 86.2 217.5 379.1 2018 136.6 121.3 80.1 263.4 205.3 274.8 253.3 119.8 128.2 22.9 155 90.9   (a) Compute the monthly average rainfall for each month           (b) Plot a graph of the monthly average rainfall             (c) Compute the Standard deviation, coefficient of variation, skewness, kurtosis of the rainfall data for each month (d) Explain the meaning of the different descriptive statistics values in (b)           Months Mean Rainfall (cm)  Standard deviation (cm)  Co-efficient of variation  Skewness  Kurtosis Minimum (mm) Maximum (mm) January 243.1             February 147.5             March 139.7             April 152.4             May 280.1             June 312.1             July 280.5             August 166.3             September 85.1             October 73.7             November 186.4             December 272.5

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  Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
1989 237.1 221 307.8 51.8 199.9 507.2 194.8 108.1 62.1 180.7 234.2 106.8
1990 286.6 170.1 304.3 361.5 193.6 213.8 416.3 257.1 43.2 13.8 238.2 390.8
1991 126.6 52.6 80.5 166.2 78.1 249.3 278.5 321.8 128.7 54.4 47.8 191.2
1992 181.6 72.7 100 99.9 293.4 197.2 183.5 269.5 56.3 54.4 51.5 146.5
1993 302.3 100.5 278 36.6 223.4 373 162.2 149.1 72.7 65.7 589.1 282
1994 260 103.2 173.3 61.2 318.7 208.6 387.1 138.2 94.6 170.5 244.6 123.7
1995 62.9 57.4 88.5 13.6 185.6 417.1 255.9 91.7 20.5 40.1 286.2 177
1996 280.1 196.6 78.2 24.6 409.7 528.8 272.4 135.4 94.3 36.2 184.9 188.6
1997 414.8 253.2 708 99.4 342 138.3 249.9 16.2 2.1 26.6 41.1 78.3
1998 71.8 18.2 23.1 145.2 291.5 342 108.4 229.7 46.5 124.4 253.9 351.9
1999 273.4 81 138.2 195.8 190.3 214.8 236.4 399.1 43.7 114 40.5 367.8
2000 565 132.3 126.1 344.8 241.4 438.6 222.2 201.5 98.1 28.4 200.8 166.6
2001 58.1 21.6 32 169.2 204.8 340.8 241.4 94.7 182.1 59.8 100 87.7
2002 157.8 81.2 97 237.4 259.4 451.8 160.8 167.8 86.5 80.4 177.5 104.1
2003 36.2 29.2 28.3 27.4 370.8 355.8 322.1 96.7 29.1 11.7 143.8 306.6
2004 162.3 124 54 320.4 407.4 255.6 377.2 117 110.6 61.8 26.4 404.6
2005 1,108.20 203.7 78.5 219.6 296 102.8 380.5 57.3 55.4 67.3 229.5 516.7
2006 571.3 73.2 43.8 93.4 477.6 440.8 224.6 116.5 184.2 137.7 209.6 253.6
2007 156.5 26.3 138.3 111.7 433.4 398.1 297.6 375.5 154.1 53.1 179.9 633.7
2008 258.5 365 210.2 145.9 327.6 398.1 406.7 228 62.5 59 155.7 919
2009 151.5 474.7 65.8 316.3 58.3 296.6 213.4 46.3 71.6 99.5 59.5 108.8
2010 20.6 24.7 41 333.3 380.3 247.2 469.1 156.9 160.9 99.4 352 319.4
2011 136.6 413.9 495.9 34 269.9 178.2 182.9 118.3 30.8 194.4 167.4 233.6
2012 387.4 347 32.2 110.7 307.2 238.6 367.8 136.7 31.7 26.9 194.2 290.3
2013 82.7 116.3 27.7 129.2 347 282.2 418.9 289.1 117.9 117.2 220.2 281.7
2014 280.3 153.6 61.2 67.5 125.1 224.1 146.2 194 21.6 49.3 374.2 127.3
2015 206.8 118.8 96.9 64.4 453.3 389.1 510.8 82.1 76.4 52.2 123.1 151
2016 27.3 38.5 34 230.5 203.9 251.3 223.4 178.7 173.3 22.9 93.5 395.2
2017 292 232 169.4 96.6 308.2 409.5 249.7 94.8 113.7 86.2 217.5 379.1
2018 136.6 121.3 80.1 263.4 205.3 274.8 253.3 119.8 128.2 22.9 155 90.9

 

(a) Compute the monthly average rainfall for each month          
(b) Plot a graph of the monthly average rainfall            
(c) Compute the Standard deviation, coefficient of variation, skewness, kurtosis of the rainfall data for each month
(d) Explain the meaning of the different descriptive statistics values in (b)        

 

Months Mean Rainfall (cm)  Standard deviation (cm)  Co-efficient of variation  Skewness  Kurtosis Minimum (mm) Maximum (mm)
January 243.1            
February 147.5            
March 139.7            
April 152.4            
May 280.1            
June 312.1            
July 280.5            
August 166.3            
September 85.1            
October 73.7            
November 186.4            
December 272.5            
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