8. | Agriculture: Harvest Weight of Maize The following data represent weights in kilograms of maize harvested from a random sample of 72 experimental plots on St. Vincent, an island in the Caribbean (Reference: B. G. F. Springer, Proceedings of the Caribbean Food Crops Society, Vol. 10, pp. 147–152). Note: These data are also available for download at http://www.cengagebrain.com. For convenience, the data are presented in increasing order. 7.8 9.1 9.5 10.0 10.2 10.5 11.1 11.5 11.7 11.8 12.2 12.2 12.5 13.1 13.5 13.7 13.7 14.0 14.4 14.5 14.6 15.2 15.5 16.0 16.0 16.1 16.5 17.2 17.8 18.2 19.0 19.1 19.3 19.8 20.0 20.2 20.3 20.5 20.9 21.1 21.4 21.8 22.0 22.0 22.4 22.5 22.5 22.8 22.8 23.1 23.1 23.2 23.7 23.8 23.8 23.8 23.8 24.0 24.1 24.1 24.5 24.5 24.9 25.1 25.2 25.5 26.1 26.4 26.5 26.7 27.1 29.5 (a) Compute the five-number summary. (b) Compute the interquartile range. (c) Make a box-and-whisker plot. (d) Interpretation Discuss the distribution. Does the lower half of the distribu- tion show more data spread than the upper half?
8. | Agriculture: Harvest Weight of Maize The following data represent weights in kilograms of maize harvested from a random sample of 72 experimental plots on St. Vincent, an island in the Caribbean (Reference: B. G. F. Springer, Proceedings of the Caribbean Food Crops Society, Vol. 10, pp. 147–152). Note: These data are also available for download at http://www.cengagebrain.com. For convenience, the data are presented in increasing order. 7.8 9.1 9.5 10.0 10.2 10.5 11.1 11.5 11.7 11.8 12.2 12.2 12.5 13.1 13.5 13.7 13.7 14.0 14.4 14.5 14.6 15.2 15.5 16.0 16.0 16.1 16.5 17.2 17.8 18.2 19.0 19.1 19.3 19.8 20.0 20.2 20.3 20.5 20.9 21.1 21.4 21.8 22.0 22.0 22.4 22.5 22.5 22.8 22.8 23.1 23.1 23.2 23.7 23.8 23.8 23.8 23.8 24.0 24.1 24.1 24.5 24.5 24.9 25.1 25.2 25.5 26.1 26.4 26.5 26.7 27.1 29.5 (a) Compute the five-number summary. (b) Compute the interquartile range. (c) Make a box-and-whisker plot. (d) Interpretation Discuss the distribution. Does the lower half of the distribu- tion show more data spread than the upper half?
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Transcribed Image Text:8. | Agriculture: Harvest Weight of Maize The following data represent weights in
kilograms of maize harvested from a random sample of 72 experimental plots
on St. Vincent, an island in the Caribbean (Reference: B. G. F. Springer,
Proceedings of the Caribbean Food Crops Society, Vol. 10, pp. 147–152). Note:
These data are also available for download at http://www.cengagebrain.com. For
convenience, the data are presented in increasing order.
7.8
9.1
9.5
10.0
10.2
10.5
11.1
11.5
11.7
11.8
12.2
12.2
12.5
13.1
13.5
13.7
13.7
14.0
14.4
14.5
14.6
15.2
15.5
16.0
16.0
16.1
16.5
17.2
17.8
18.2
19.0
19.1
19.3
19.8
20.0
20.2
20.3
20.5
20.9
21.1
21.4
21.8
22.0
22.0
22.4
22.5
22.5
22.8
22.8
23.1
23.1
23.2
23.7
23.8
23.8
23.8
23.8
24.0
24.1
24.1
24.5
24.5
24.9 25.1
25.2
25.5
26.1
26.4
26.5
26.7
27.1
29.5
(a) Compute the five-number summary.
(b) Compute the interquartile range.
(c) Make a box-and-whisker plot.
(d) Interpretation Discuss the distribution. Does the lower half of the distribu-
tion show more data spread than the upper half?
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