Question: Aussie, Aussie, Aussie A group of Australian students were asked to estimate the width of their classroom in feet. Use the dotplot and summary statistics below to answer the following questions.
(a) Suppose we converted each student's guess from feet to meters (3.28 ft = 1 m). How would the shape of the distribution be affected? Find the mean, median, standard deviation, and IQR for the transformed data.
(b) The actual width of the room was 42.6 feet. Suppose we calculated the error in each student's guess as follows: guess - 42.6. Find the mean and standard deviation of the errors. Justify your answers.