COMEDK · Maths · 29. Statistics
The variance of a set of 20 observations is 16. If 7 is added to each observation, and then 5 is subtracted from each resulting observation, what will be the new standard deviation?
- A \(2\)
- B \(9\)
- C \(18\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
The original variance of the observations is \(16\). The original standard deviation is \(\sqrt{16} = 4\). When \(7\) is added and then \(5\) is subtracted from each observation, the net effect is that \(2\) is added to each observation. The standard deviation of a dataset is…
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