$11)$ Let$$s rework the previous problem with some data. The measurements, in grams, are $21\mathrm{.}13,21\mathrm{.}11,21\mathrm{.}12,21\mathrm{.}13,21\mathrm{.}11,21\mathrm{.}12$ and $21\mathrm{.}13$ for the more precise balance. For the older, less precise balance the mass is measured at $21\mathrm{.}2$ g and $21\mathrm{.}0$ g$.$ Calculate the average to the correct number of significant figures for all nine points and for the seven more precise measurements. How was the average mass value impacted by the imprecise measurements? Did this match the prediction made above?