Based on the data given in the following table, find the arithmetic- mean of the number of major meals that included a potato based dish, which the 39 students surveyed had eaten in a week. Number of major meals 39 students had eaten in a week with a potato-based dish included Frequency 1 3 2 2 3 2 4 5 5 5 6 4 7 6 8 3 9 5 10 3 11 1 Total Frequency 39

7 5 6 8

6

Mean = \(\frac{ 1×3 + 2×2 + 3×2 + 4×5+5×5+6×4+7×6+8×3+9×5+10×3+11×1}{39}\) = \(\frac{3 + 4 + 6 + 20 + 25 + 24 + 42 + 24 + 45 + 30 + 11 }{39}\)  = \(\frac{234}{39}\)  = 6