Math  /  Data & Statistics

QuestionUse the five numbers 14,15,16,1814,15,16,18, and 12 to complete parts a) through e) below. a) Compute the mean and standard deviation of the given set of data.
The mean is xˉ=15\bar{x}=15 and the standard deviation is s=2.24\mathrm{s}=2.24. (Round to two decimal places as needed.) b) Add 15 to each of the numbers in the original set of data and compute the mean and the standard deviation of this new set of data.
The new mean is xˉ=\bar{x}= \square and the new standard deviation is s=s= \square 1. (Round to two decimal places as needed.)

Studdy Solution
Compute the standard deviation of the new data set:
Since adding a constant does not change the standard deviation, it remains:
s=2.24s = 2.24
The new mean is:
30\boxed{30}
The new standard deviation is:
2.24\boxed{2.24}

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