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Descriptive Statisticshard
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For a dataset with n=5n=5n=5 elements, the mean is μ=10\mu = 10μ=10 and the variance is σ2=6\sigma^2 = 6σ2=6. If we create a new dataset by yi=axi+by_i = ax_i + byi​=axi​+b such that the new mean is yˉ=25\bar{y} = 25yˉ​=25 and the new variance is σy2=54\sigma_y^2 = 54σy2​=54, what is the value of ∣a∣|a|∣a∣?