PRC-2 · Chapter 8 · Question 37 of 60
If every observation in a sample is multiplied by 4, what will happen to the calculated standard deviation?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) It will be multiplied by 4.
Explanation
Standard deviation is heavily affected by a change of scale. If every value is multiplied by a constant 'k', the standard deviation of the new set will be multiplied by the absolute value of 'k'.
More Statistical Measures of Data MCQs
- Q39If a dataset features a long, drawn-out tail of extreme outlier values strictly on the higher (right) side, the distribution is considered:
- Q40When attempting to calculate the true average speed of a vehicle that travels a constant distance at multiple different speeds, which…
- Q41What does the Third Quartile (Q3) of a dataset mathematically correspond to?
- Q42Which of the following is the correct formula to calculate the Semi-Interquartile Range (often termed Quartile Deviation)?
- Q43What is the median of the following ungrouped dataset featuring an even number of observations: 14, 18, 22, 26?