A pickle producer currently purchases lids for its jars from a certain manufacturing company. The pickle producer has received a bid from a rival manufacturing company that will sell the lids at a very low price. The lids must have a diameter of approximately inches, and because the lids must fit securely, the pickle producer requires that the lids purchased have a standard deviation of no more than inches. The rival company claims that it meets these specifications and has supplied the pickle producer with lids on a sample basis. The pickle producer's quality control department has constructed the following histogram, based on the sample of lids, to show to company executives: Based on this histogram, estimate the standard deviation of the sample of diameters. Carry your intermediate computations to at least four decimal places, and round your answer to at least three decimal places