Question: 15. Consider the sample X1 = 81.3001, X2 = 81.3015, X3 = 81.3006, X4 = 81.3011, X5 = 81.2997, X6 = 81.3005, X7 = 81.3021.

15. Consider the sample X1 = 81.3001, X2 = 81.3015, X3 = 81.3006, X4 = 81.3011, X5 = 81.2997, X6 = 81.3005, X7 = 81.3021. Code the data by subtracting 81.2997 and multiplying by 10,000. Thus the coded data are 4, 18, 9, 14, 0, 8, 24. It is given that the sample variance of the coded data is S2 Y = 68.33. Find the sample variance of the original data.

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