PRC-2 · Chapter 8 · Question 12 of 60
If you multiply every observation in a dataset by a constant 'k', what will happen to the new standard deviation?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) It is multiplied by k.
Explanation
Standard deviation is affected by a change of scale. If every value is multiplied by a constant 'k', the standard deviation of the new set is exactly the old standard deviation multiplied by 'k'.
More Statistical Measures of Data MCQs
- Q14For a symmetrical (normal) distribution curve, which relationship between the mean, median, and mode is correct?
- Q15The mean of 5 observations is incorrectly recorded as 40. Upon review, it was found that a value of 25 was mistakenly read as 50. What is…
- Q16If a researcher multiplies every single observation in a dataset by exactly 5, what will mathematically happen to the arithmetic mean of…
- Q17If every observation in a statistical sample is divided by 10, how is the new arithmetic mean affected?
- Q18Which of the following statements accurately describes a skewed distribution curve?
