answer is Range=94
here the minimum =1 and maximum=95
the range=maximum-minimum=95-1=94
variance=sum((x-mean)2/(n-1))=8483.64/10=848.4 ( one decimal approximation)
standard deviation=sqrt(variance)=sqrt(848.4)=29.1
following information has been generated for answering above
| sn | x | x-mean | (x-mean)2 |
| 1 | 1 | -47.82 | 2286.7524 |
| 2 | 24 | -24.82 | 616.0324 |
| 3 | 26 | -22.82 | 520.7524 |
| 4 | 33 | -15.82 | 250.2724 |
| 5 | 38 | -10.82 | 117.0724 |
| 6 | 41 | -7.82 | 61.1524 |
| 7 | 53 | 4.18 | 17.4724 |
| 8 | 63 | 14.18 | 201.0724 |
| 9 | 73 | 24.18 | 584.6724 |
| 10 | 90 | 41.18 | 1695.7924 |
| 11 | 95 | 46.18 | 2132.5924 |
| sum= | 537 | -0.02 | 8483.6364 |
| n= | 11.0 | ||
| mean=sum/n= | 537/11=48.82 |
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