# Stats 1

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44.A

range = 49.3 – 23.5 = 25.8

44.B

 29.5 –1.53 2.3409 870.25 49.3 18.27 333.793 2430.49 30.6 –0.43 0.1849 936.36 28.2 –2.83 8.0089 795.24 28 –3.03 9.1809 784 26.3 –4.73 22.3729 691.69 33.9 2.87 8.2369 1149.21 29.4 –1.63 2.6569 864.36 23.5 –7.53 56.7009 552.25 31.6 0.57 0.3249 998.56

44.C

44.D

45.A

= 115.58.  The deviations from the mean are 116.4 – 115.58 = .82, 115.9 – 115.58 = .32, 114.6 –115.58 = –.98, 115.2 – 115.58 = –.38, and 115.8 – 115.58 = .22. Notice that the deviations from the mean sum to zero, as they should.

45.B

s2 = [(.82)2 + (.32)2 + (-.98)2 + (-.38)2 + (.22)2]/(5 – 1) = 1.928/4 = .482, so s = .694.

45.C

= 66795.61, so s2 = Sxx/(n – 1) = =                                   (66795.61 –(577.9)2 /5)/4 = 1.928/4 = .482.

45.D

The new sample values are: 16.4  15.9  14.6  15.2  15.8.  While the new mean is 15.58, all the deviations are the same as in part (a), and the variance of the transformed data is identical to that of part (b).