Measures of Central Tendency and Variability You are practicing in a state that has a mandated length of stay for birthing mothers of 48 hours, if the mother so wishes. You are interested in determining how much variability there is in length of stay and if most mothers are staying the requisite length of time. The following data have been collected measuring length of stay on an obstetrical unit. Length of stay is measured in hours from the mother's admission until the mother's discharge (even if the baby must stay in the nursery). ID Number Length of Stay 012672 56 034157 36 021256 32 012178 40 019872 30 024678 26 078987 52 097866 38 097854 32 078654 28 067543 52 067543 38 076865 30 016754 45 068654 42 027865 40 056432 68 037654 72 035627 32 036579 46 1. Calculate a mean length of stay in hours. 2. Calculate the standard deviation for length of stay in hours. 3. Calculate the coefficient of variation for length of stay in hours. 4. What is the Z score (standardized score) for a mother who stays 48 hours? 5. Are most of our mothers staying the requisite 48 hours