Assiut University Multivariate Statistics
Faculty of Engineering Eelective Course (2)
Mining Engineering Department
4th Year Mining Engineering
Final Exam: June 2003
Time Allowed: 3 Hours
Attempt all the following questions
1. What are the main three categories required for summary statistics of earth science data
(5 marks) sets? Write the equations when necessary.
2.
Table (1): Lead grades (%) measured in 2m long drill core segments. marks)
(10
9.24 6.27 5.1 1.1 1.18 1.04 1.02 4.69 7.16 9.25
1.58 1.48 1.03 1.66 5.40 2.38 0.81 0.50 1.12 1.60
3.77 6.71 3.82 4.345 3.26 4.12
You are required to: aDetermine the summary statistics of Pb grades. bCalculate the sample variance, the standard deviation and the coefficient of variation for the given data. cDraw the Histogram and probability plot of the Pb grades.
3.
The data for multivariate analysis should always be examined and tested for Normality, and Homogeneity of variances. (5 marks) aWhy? Give reasons bExplain with sketches two methods to assess the normality of the variables.
4.
Use the Triangle Method to calculate the average thickness and the total ore reserve in tons for the region shown in the Figure below. Sampling data are given in Table (2).
Assume that the Tonnage Factor is 0.7 (15 marks)
M6
M5
M1
M2
M4
M3
Table (2): X, Y co-ordinates and thickness of the sampling boreholes.
B.H. X, (m)
M1
M2
2698.53
2838.18
Y, (m)
542.73
1749 t, (m)
4
6
Side L, (m)
M2-M5 698.345
M3-M5 1351.529
B.H.
M4
M5 t, (m)
7
4.5
M3 2143.41 1147.79 5.2 M5-M6 1381.228 M6
Area of Triangle M3-M4-M6 = 289569.94 m 2
Area of Triangle M3-M4-M1 = 206700.86 m 2
3.6
Periphery of Triangle M3-M5-M6
= 4374.48 m

Good Luck
Prof Dr. M.R.El Tahlawi
Dr. SaMeH Saadeldin