Single correct option
Which of the statements is/are correct? 1. The median is less affected by extreme values than the mean. 2. The standard deviation of a set of identical observations is zero.
- 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
Extreme values shift the mean strongly but change the median only by position, so statement 1 is true. If all observations are equal, every deviation from the mean is zero, so the standard deviation is zero and statement 2 is true as well.
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