The mean and standard deviation of 75 observations are 45 and 10,…
2023
The mean and standard deviation of 75 observations are 45 and 10, respectively. If 2 is added to each observation, the new mean and standard deviation will be
- A.
47, 12
- B.
47, 14
- C.
47, 10
- D.
46, 12
Attempted by 3 students.
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Correct answer: C
Adding a constant to each observation increases the mean by that constant but leaves the standard deviation unchanged. New Mean = 45 + 2 = 47. Standard Deviation remains 10.