If $x_1, x_2, \ldots, x_n$ are $n$ observations and $\bar{x}$ is their mean. If $\sum_{i=1}^{n}(x_i - \bar{x})^2$ is almost zero,then which of the following statements is true?

  • A
    It indicates a higher degree of dispersion of the observations from the mean $\bar{x}$.
  • B
    It indicates that there is no dispersion.
  • C
    $\sum_{i=1}^{n}(x_i - \bar{x})^2$ is the arithmetic mean of the data.
  • D
    It indicates that each observation $x_i$ is very close to the mean $\bar{x}$ and hence the degree of dispersion is low.

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