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The following daily high temperatures in degrees, F, were recorded in Amherst, VA over a one-week period: 88, 83, 80, 71, 74, 78, 74. (This data is from yesterday's problem set, and we're only going to use it for problem 1)

1.  State the (sample) standard deviation of the daily high temperature.

a.  5.1\(^o\)F

b.  5.3\(^o\)F

c.  5.5\(^o\)F

d.  5.7\(^o\)F

e.  5.9\(^o\)F

2.  According to Chebyshev's theorem, is it possible that for a given set of data, 85\% of the data is within 2.5 standard deviations of the mean?

a.  yes this is possible

b.  no, this is impossible

3.  According to Chebyshev's theorem, is it possible that for a given set of data, 80\% of the data is within 2.5 standard deviations of the mean?

a.  yes this is possible

b.  no, this is impossible