For the sample data where x= 1, 3, 5, 7, 9, 11 and f = 32, 15, 8, 3, 5, 7. After calculating sigmax, sigmafx and sigmax^2 compute the following: a.

Compute the sample mean and the sample standard deviation.

b.

Considering the shape of the data set, do you expect the Empirical Rule to

apply? Count the number of measurements within one standard deviation

of the mean and compare it to the number predicted by the Empirical Rule.c.

What does Chebyshev's Rule say about the number of measurements

within one standard deviation of the mean?

d.

Count the number of measurements within two standard deviations of the

mean and compare it to the minimum number guaranteed by Chebyshev's

Theorem to lie in that interval.