This is the dataset associated with our paper, in which 3x10^6 87Rb atoms are cooled to 3uK in a micro-fabricated grating magneto-optical trap (GMOT). We magnetically trap the atoms, and use Larmor spin precession for magnetic sensing in the vicinity of the atomic sample. We demonstrate an array of magneto-optical traps with a single laser beam. The dataset is associated with the production of Figs 2,3,4,6. The .csv files associated with the production of Figs 2, 3 and 4 are attached as well as the raw images used in Fig 6.