Element Z consists of 5% of atoms with a mass of 176.0 amu, 19% have a mass of 177.0 amu, 27% of the atoms have a mass of 178.0 amu, 14% have a mass of 179.0 amu, and the rest have a mass of 180.0 amu. Determine the average atomic mass of element Z rounded to four digits and use the periodic table to identify the element.
