Which of the following set of data has least standard deviation?

Which of the following set of data has least standard deviation?
  1. 10,20,30,40
  2. 2,4,6,8
  3. 3,6,9,12
  4. 1,2,3,4

Solution

We know that, Standard deviation measures the spread of a data distribution. The more spread out a data distribution is, the greater its standard deviation.

Here, from the options we see that the set 1, 2, 3, 4 has the least spread as data values are least far from their mean (Mean=2.5)

Hence, it has least Standard Deviation.

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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