Measures of Variability

Answers

1. \(R=3, s^{2}=1.7, s=1.3\)

3. \(R=6, s^{2}=7. \overline{3}, s=2.7\)

5. \(R=6, s^{2}=7.3, s=2.7\).

7. \(R=30, s^{2}=103.2, s=10.2\).

9. \(\bar{x}=28.55, s=1.3\).

11. a. \(\bar{x}=2063, \widetilde{x}=2000\), mode \(=2000\).

b. \(R=3400\).

c. \(s=869\).

13. All are \(17.\)

15. \(\{1,1,1\}\)

17. One example is \(\{-.5,0,.5\}\).

19. a. \(R=1350\) and \(s=212.5455\)

b. \(R=4.00\) and \(s=0.7407\)

21. a. \(R=4.00\) and \(\sigma=0.740375\)

b. \(R=3.04\) and \(s=0.808045\)

c. \(R=2.49\) and \(s=0.657843\)