PRC-2 · Chapter 8 · Question 1 of 60
If an instructor decides to arbitrarily increase every student's test score by exactly 5 marks, what will happen to the arithmetic mean of the test scores?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) It will increase by exactly 5 units.
Explanation
A key mathematical property of the arithmetic mean is that it is affected by a change of origin. If a constant 'c' is added to every observation in a dataset, the mean itself simply increases by that exact constant.
More Statistical Measures of Data MCQs
- Q3In a highly skewed distribution, which statistical measure of central tendency is typically considered the most robust and representative?
- Q4Group X consists of 40 items with a mean of 50. Group Y consists of 60 items with a mean of 70. What is the combined mean of the two groups?
- Q5If the calculated variance for a specific set of financial data is strictly 144, what is the standard deviation of that data?
- Q6What is the mathematical sum of the deviations of all individual observations from their arithmetic mean?
- Q7Which specific measure of central tendency is most mathematically appropriate for averaging rates of change, speed, or unit prices?