Single correct option
Consider the following statements:
1. The arithmetic mean of a data set is not affected by extreme values.
2. The standard deviation of a data set is never negative.
Which of the statements given above is/are correct?
1. The arithmetic mean of a data set is not affected by extreme values.
2. The standard deviation of a data set is never negative.
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: (B) 2 only
Statement 1 is false: a single very large value pulls the mean towards itself, which is why the median is preferred for skewed data. Statement 2 is true, as the standard deviation is the non-negative square root of the variance. Only statement 2 is correct.
Saved on this device. Sign in or create a free account to keep it on every device.