20 According to Statistical Abstract of the United States, 1995, average salary (in dollars) of secondary school classroom teachers in 1994 in the Unued States varied among states with a five-number summary of: 100% Max 51,700 (Connecticut) 38,500 75% Q3 50% Med 33,900 258 Q1 29,800 04 Min 25,300 (South Dakota)

a) Find and interpret the range and the interquartile range

b) Construer a box plot

c) Based on (b), predict the direction of skew for this distribution. Explain

d) If the distribution, though skewed, is approximately bell-shaped, which of the follow- ing values would you expect for the standard deviation. (i) 100. (ii) 1000. (ii) 6000, (ix) 15.000? Explain.