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 changes?

d. Is it possible to determine by how much the standard deviation changes? If so, by how much does it change?

Step-by-step explanation:

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?

Yes. The total would decrease by 11.61. so mean would decrease by 11.61/15 = 0.774

b. Is it possible to determine the value of the mean after the change? If so, what is the value?

No. new men would be old mean - 0.774

c. Is it possible to determine by how much the median changes? If so, by how much does it changes?

Though the smallest number is changed the position does not change.

Hence median will not change.

d. Is it possible to determine by how much the standard deviation changes? If so, by how much does it change?

The original variance would be average of square of deviations of the old mean.