Sixty-six bulk specimens of Chilean lumpy iron ore (95% particle size, 150 millimeters) were randomly sampled from a 35,325-long-ton shipload of ore, and the percentage of iron in each ore specimen was determined. The data are shown below:

a. Describe the population from which the sample was selected.

b. Give one possible objective of this sampling procedure.

c. Construct a relative frequency histogram for the data.

d. Calculate y and s.

e. Find the percentage of the total number ( ) of observations that lie in the interval . Does this percentage agree with the Empirical Rule?

f. Find the 25th, 50th, 75th, and 90th percentiles for the data set. Interpret these values.

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16 14 12 10 10 5 4 3 3 3 1 1 20 40 60 80 100 120 140 160 180 200 Chip length (mm) 6. 2. Frequency