1. Find the semi-interquartile range for the distributions of (a) Problem 3.59, (b) Problem 3.60, and (c) Problem 3.107. Interpret the results clearly in each case. Find the semi-interquartile range for the data given in Problem 4.37.
Prove that for any frequency distribution the total percentage of cases falling in the interval 1/2 (Q1 + Q3) ± 1/2 (Q3 - Q1) is 50%. Is the same true for the interval Q2 ± 1/2 (Q3 - Q1)? Explain your answer.
(a) How would you graph the semi-interquartile range corresponding to a given frequency distribution?
(b) What is the relationship of the semi-interquartile range to the ogive of the distribution?
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