Two data sets have the same range and inter-quartile range but the first is symmetric and the second is skewed left.
a. Sketch two box plots that satisfy the conditions for the two sets.
b. Would you guess that the standard deviation of the skewed data set is less than, more than, or the same as the first? Explain your reasoning.
c. Invent two data sets of seven values each that satisfy the conditions.
d. Find the standard deviation for the two data sets. Do the standard deviations support your answer to 9b?