Ononot — Let X be a dataset with n elements and an arithmetic mean of

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Central Tendencymedium

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Let $X$ be a dataset with $n$ elements and an arithmetic mean of $\mu$ . If a new data point $y$ is added to the dataset, which of the following expressions correctly represents the new mean $\mu_{\text{new}}$ or the change in the mean $\Delta \mu = \mu_{\text{new}} - \mu$ ?