There are 15 numbers on a list, and the mean is 25. The smallest number on the list is changed from 12.9 to 1.29.
a. Is it possible to determine by how much the mean changes? If so, by how much does it change?
b. Is it possible to determine the value of the mean after the change? If so, what is the value?
c. Is it possible to determine by how much the median changes? If so, by how much does it change?
d. Is it possible to determine by how much the standard deviation changes? If so, by how much does it change?
(a) The mean decreases by 0.774.
(b) The value of the mean after the change is 25 – 0.774 = 24.226.
(c) The median is unchanged.
(d) It is not possible to tell by how much the standard deviation changes, because the original standard deviation is unknown.
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