Paving bricks—called clinkers—were examined for trace elements in order to determine the origin (e.g., factory) of the clinker. (Advances in Cement Research, Jan. 2004.) The barium content (mg/kg) for each in a sample of 200 clinkers was measured, yielding the following summary statistics:
Q_L = 115, m = 170 and Q_u = 260and.
a. Interpret the value of the median, m.
b. Interpret the value of the lower quartile, QL.
c. Interpret the value of the upper quartile, QU.
d. Find the interquartile range, IQR.
e. Find the endpoints of the inner fence in a box plot for barium content.
f. The researchers found no clinkers with a barium content beyond the boundaries of the inner fences. What does this imply?