Consider the following sample of five measurements. 5, 4, 2, 1, 7 a. Calculate the range, s^2, and s. range = s^2 = s= b. Add 2 to each measurement...

Consider the following sample of five measurements.

5, 4, 2, 1, 7

a. Calculate the range, s^2, and s.

range =

s^2 =

s=

b. Add 2 to each measurement and repeat part a.

range =

s^2=

s=

c. Subtract 4 from each measurement and repeat part a.

range=

s^2=

s=

d. Considering your answers to parts a, b, and c, what seems to be the effect on the variability of a data set  by adding the same number to or subtracting the same number from each measurement?

   a. The variability is decreased by the amount subtracted from each measurement.

   b. There is no effect on the variability.

   c. The variability is increased by the amount added to each measurement.

   d. The variability is multiplied by the amount added to or subtracted from each measurement.