TEC 106: STATISTICS
[DOCUMENT TITLE]
a) Show that for grouped frequency distributions:
(2 Marks)
b) The table given below shows 128 temperature values measured from given alloys
during a laboratory experiment.
20.144 20.881 61.003 41.458 69.409 63.674 46.774 23.038
59.228 42.556 45.096 52.951 48.143 76.798 13.868 63.663
14.126 95.451 78.621 53.868 61.638 70.623 80.535 21.276
64.700 13.343 39.395 59.036 53.387 47.714 76.026 73.611
56.272 41.518 24.856 14.355 20.156 45.925 17.358 64.156
96.181 76.535 81.007 14.384 29.830 76.890 86.086 38.589
27.028 42.901 48.861 57.870 27.848 63.434 56.787 63.639
68.669 34.684 28.580 68.515 23.045 15.015 82.893 29.904
96.797 16.252 36.665 20.487 21.759 27.611 87.411 97.197
94.384 48.827 20.063 30.662 18.973 15.353 69.182 50.826
27.027 81.213 68.243 37.915 26.300 40.912 51.776 31.937
13.945 84.190 82.216 57.369 47.783 68.321 77.317 77.185
64.537 36.567 82.246 96.991 60.865 88.842 39.061 67.778
76.825 97.362 53.825 89.013 43.712 75.323 65.208 57.360
70.460 13.396 20.540 35.662 15.456 40.944 12.368 72.471
51.179 20.468 58.735 66.656 63.835 27.272 54.081 31.860
Arrange the values into 13 equal classes and evaluate (round off to 3dp):
i).
ii).
iii). (12 marks)
iv). Geometric mean
v). Harmonic mean
vi). Standard deviation
1
[DOCUMENT TITLE]
a) Show that for grouped frequency distributions:
(2 Marks)
b) The table given below shows 128 temperature values measured from given alloys
during a laboratory experiment.
20.144 20.881 61.003 41.458 69.409 63.674 46.774 23.038
59.228 42.556 45.096 52.951 48.143 76.798 13.868 63.663
14.126 95.451 78.621 53.868 61.638 70.623 80.535 21.276
64.700 13.343 39.395 59.036 53.387 47.714 76.026 73.611
56.272 41.518 24.856 14.355 20.156 45.925 17.358 64.156
96.181 76.535 81.007 14.384 29.830 76.890 86.086 38.589
27.028 42.901 48.861 57.870 27.848 63.434 56.787 63.639
68.669 34.684 28.580 68.515 23.045 15.015 82.893 29.904
96.797 16.252 36.665 20.487 21.759 27.611 87.411 97.197
94.384 48.827 20.063 30.662 18.973 15.353 69.182 50.826
27.027 81.213 68.243 37.915 26.300 40.912 51.776 31.937
13.945 84.190 82.216 57.369 47.783 68.321 77.317 77.185
64.537 36.567 82.246 96.991 60.865 88.842 39.061 67.778
76.825 97.362 53.825 89.013 43.712 75.323 65.208 57.360
70.460 13.396 20.540 35.662 15.456 40.944 12.368 72.471
51.179 20.468 58.735 66.656 63.835 27.272 54.081 31.860
Arrange the values into 13 equal classes and evaluate (round off to 3dp):
i).
ii).
iii). (12 marks)
iv). Geometric mean
v). Harmonic mean
vi). Standard deviation
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