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Approximationg the standard deviation of a data set given a. Multiple wycroma is a form of cancer. For decades, there was no known treatment. Rather recently, though, doctors surmised that the drug Thandorde, which was given to pregnant women in the 1950s but was subsequently found to cause birth defects, may extend the lives of those afflicted with multiple myeloma. In an extensive diical trial, 40 patients diagnosed as having multiple myeloma were treated with Thalidomide, and the subsequent number of months that each survived was recorded. Suppose that the data are summarized in the following histogram: 30 16 15- 12 10 10 50 Surmeal time (in months] Based on this histogram, estimate the standard deviation of the sample of 40 survival times. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place. (If necessary. consult a leg of formulas.)