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What is the primary disadvantage of using the range as a measure of dispersion?It is difficult to compute.It is affected by extreme values.It does not consider all data points.Both b and c

Question

What is the primary disadvantage of using the range as a measure of dispersion?It is difficult to compute.It is affected by extreme values.It does not consider all data points.Both b and c

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Solution

The primary disadvantage of using the range as a measure of dispersion is both b and c. This means that the range is affected by extreme values and it does not consider all data points.

Here's why:

  1. The range is affected by extreme values: The range only considers the smallest and largest values in the dataset. Therefore, if there are outliers or extreme values in the data, the range will be skewed by these values. For example, if we have the data set [1, 2, 3, 100], the range would be 99, which doesn't accurately represent the dispersion of the majority of the data.

  2. The range does not consider all data points: Since the range only takes into account the smallest and largest values, it does not consider any of the other data points in the dataset. This means that the range can't provide a full picture of the dispersion or variability within the data. For example, the range of the data set [1, 2, 3, 4] is the same as the range of the data set [1, 2, 3, 100], even though the dispersion in the second data set is much greater.

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