BUS1233 STATISTICS 2. The following data represent weights in kilograms of maize harvest from a random sample of 72 experimental plots on St. Vincent, an island in the Caribbean (Reference: B. G. F. Springer, Proceedings, Caribbean Food Corps. Soc., Vol. 10, pp. 147-152). Note: These data are also available with other software on the Stat Space CD-ROM. 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) Find the Q1, Q2 AND Q3. (b) Find the value of the interquartile range (IQR) and semi-interquartile range (Semi IQR). (c) Find the lower and upper limits. (d) Are there any data values below the lower limit? above the upper limit? List any suspected outliers. What might be some explanations for the outliers? (e) Make a box-and-whisker plot of the data. (f) Discuss the distribution. Does the lower half of the distribution show more data spread than the upper half? a.) |