Single correct option
Consider the following statements:
1. The standard deviation of a data set can never be negative.
2. The variance of a data set is the square of its standard deviation.
Which of the statements given above is/are correct?
1. The standard deviation of a data set can never be negative.
2. The variance of a data set is the square of its standard deviation.
Which of the statements given above is/are correct?
- A. 1 only
- B. 2 only
- C. Both 1 and 2
- D. Neither 1 nor 2
Show answer and solution
Answer: (C) Both 1 and 2
The standard deviation is defined as the non-negative square root of the variance, so Statement 1 is true. By that same definition the variance equals the square of the standard deviation, so Statement 2 is also true.
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