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For the distributions given below:

Which of the following is correct for the above distributions?

  1. Standard deviation of $A$ is significantly lower than standard deviation of $B$
  2. Standard deviation of $A$ is slightly lower than standard deviation of $B$
  3. Standard deviation of $A$ is same as standard deviation of $B$
  4. Standard deviation of $A$ is significantly higher than standard deviation of $B$
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2 Answers

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Answer: C) Standard deviation of A is the same as the standard deviation of B. This should be answered intuitively from the graph otherwise it would take too much time.
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Standard Deviation is the root square of variance,i.e., it depends on how a value varies in the given data.
So in the given graph , the varying of data for both the graphs is same ,
So, the Standard Deviation should be same for both graphs
Answer:

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