Question: Packaging Hamburger Meat. The data listed here are the weights (in pounds) of 27 packages of ground beef in a supermarket meat display:

1.08 .99 .97 1.18 1.41 1.28 .83

1.06 1.14 1.38 .75 .96 1.08 .87

.89 .89 .96 1.12 1.12 .93 1.24

.89 .98 1.14 .92 1.18 1.17

a. Construct a stem and leaf plot or a relative frequency histogram to display the distribution of weights. Is the distribution relatively mound shaped?

b. Find the mean and standard deviation of the data set.

c. Find the percentage of measurements in the intervals \(\bar{X}\) \(\pm \) s, \(\bar{X}\) \(\pm \) 2s; and \(\bar{X}\) \(\pm \) 3s.

d. How do the percentages obtained in part c compare with those given by the Empirical Rule? Explain.

e. How many of the packages weigh exactly 1 pound? Can you think of any explanation for this?