data set of size 15, with mean 25 and standard deviation 4. If you add two data points, both 25, to the data set, how will the mean and standard deviation change?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Suppose you have a data set of size 15, with mean 25 and standard deviation 4. If you add two data points, both 25, to the data set, how will the mean and standard deviation change?
Group of answer choices
The mean and standard deviation will both stay the same.
The mean will stay the same and the standard deviation will increase.
The mean will stay the same and the standard deviation will decrease.
The mean and standard deviation will both increase.
The mean and standard deviation will both decrease.
The mean will increase and the standard deviation will decrease.
The mean will decrease and the standard deviation will increase.
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