Question 5.73
43. This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 10, with repeats allowed.
- Choose four numbers that have the smallest possible standard deviation.
- Choose four numbers that have the largest possible standard deviation.
- Is more than one choice possible in part (a)? Explain.
- Is more than one choice possible in part (b)? Explain.
43.
(a) One possible answer is 1, 1, 1, 1.
(b) 0, 0, 10, 10
A12
(c) Yes. Any set of four equal numbers yields the smallest possible value for s: 0.
(d) No. Within the 0 to 10 constraint, numbers can't deviate any further from the mean.