In: Statistics and Probability
I have the following data for a sample of 97 observations:
| 7.541026821 | 
| 8.926230102 | 
| 10.66501886 | 
| 10.70044938 | 
| 7.956283275 | 
| 10.61170212 | 
| 9.013674877 | 
| 7.457787808 | 
| 8.688519181 | 
| 9.632112384 | 
| 9.585695504 | 
| 9.661098603 | 
| 7.987363009 | 
| 10.64290021 | 
| 9.985713946 | 
| 9.352236341 | 
| 9.394775142 | 
| 6.663463744 | 
| 9.505301628 | 
| 8.041563811 | 
| 9.906639101 | 
| 10.21807709 | 
| 10.23849978 | 
| 10.64519906 | 
| 9.375470888 | 
| 9.28112392 | 
| 8.924667301 | 
| 10.13189828 | 
| 8.922899661 | 
| 10.56735151 | 
| 10.52283869 | 
| 10.67374994 | 
| 8.259466163 | 
| 10.10803962 | 
| 8.862558719 | 
| 8.399596126 | 
| 10.03949973 | 
| 10.6273945 | 
| 8.563698921 | 
| 9.13285679 | 
| 9.621790681 | 
| 10.71288419 | 
| 10.33937999 | 
| 10.43902256 | 
| 9.060291049 | 
| 10.4805028 | 
| 9.341939048 | 
| 10.39537826 | 
| 8.042335304 | 
| 8.448344608 | 
| 9.99079159 | 
| 7.821488236 | 
| 10.10571801 | 
| 11.38210373 | 
| 7.370965478 | 
| 10.26909988 | 
| 9.720033275 | 
| 8.416385302 | 
| 9.119573483 | 
| 8.848977205 | 
| 6.975063097 | 
| 9.135161225 | 
| 7.683767515 | 
| 10.71318574 | 
| 8.410446536 | 
| 11.04208977 | 
| 8.401574648 | 
| 8.966110305 | 
| 9.341060957 | 
| 8.752457615 | 
| 10.0378971 | 
| 10.15017686 | 
| 9.809193475 | 
| 10.06748423 | 
| 7.262885432 | 
| 7.682518025 | 
| 9.464422514 | 
| 7.309646373 | 
| 10.17592956 | 
| 10.22469405 | 
| 9.401419707 | 
| 10.36079783 | 
| 9.151199246 | 
| 10.68604638 | 
| 10.90957268 | 
| 7.448984676 | 
| 9.541930099 | 
| 10.29110612 | 
| 9.284300775 | 
| 9.834144485 | 
| 7.220975782 | 
| 9.048763914 | 
| 10.51913549 | 
| 10.84623495 | 
| 9.850393508 | 
| 9.776483281 | 
| 8.242635401 | 
| Mean | 9.37485914 | 
| Median | 9.505301628 | 
| Minimum | 6.663463744 | 
| Maximum | 11.38210373 | 
| Variance | 1.199349814 | 
| Standard Deviation | 1.095148307 | 
I now need to find out the Skewness. However I cannot use Excel's built in functions(=Skew) or Data Tool. How can I write the formula in an Excel cell to find the skewness? I know the result should be -0.52