Consider the following sample:

a. Calculate the mean and standard deviation for this data.

b. Determine the percentage of data values that fall in each of the following intervals:

x̅ ± s, x̅ ± 2s, x̅ ± 3s.

c. Compare these with the percentages that should be expected from a bell-shaped distribution. Does it seem plausible that these data came from a bell-shaped population? Explain.

22 46 25 37 35 84 33 54 80 37 76 34 48 86 4 3 49 45 62 47 72 70 91 5 9 43 56 25 12 65