There are 15 numbers on a list, and the smallest number 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 sum of the numbers decreases by 12.9 – 1.29 = 11.61, so the mean decreases by 11.61/15 = 0.774.
(b) No, it is not possible to determine the value of the mean after the change, since the original mean is unknown.
(c) The median is the eighth number when the list is arranged in order, and this 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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