When you purchase “1-pound bags” of carrots, you can buy

QUESTION:

When you purchase “1-pound bags” of carrots, you can buy either “baby” carrots or regular carrots. We shall compare the weights of 75 bags of each of these types of carrots. The following table gives the weights of the bags of baby carrots:

1.03         1.03         1.06         1.02         1.03         1.03         1.03         1.02         1.03         1.03

1.06         1.04         1.05         1.03         1.04         1.03         1.05         1.06         1.04         1.04

1.03         1.04         1.04         1.06         1.03        1.04         1.05         1.04         1.04         1.02

1.03         1.05        1.05         1.03        1.04         1.03        1.04         1.04        1.03         1.04

1.03         1.04         1.04         1.04         1.05         1.04         1.04         1.03         1.03         1.05

1.04         1.04         1.05         1.04         1.03         1.03         1.05         1.03         1.04         1.05

1.04         1.04         1.04         1.05         1.03         1.04         1.04         1.04         1.04         1.03

1.05         1.05         1.05         1.03         1.04

This table gives the weights of the regular-sized carrots:

1.29         1.10         1.28         1.29         1.23         1.20         1.31         1.25         1.13         1.26

1.19         1.33         1.24         1.20         1.26         1.24         1.11         1.14         1.15         1.15

1.19         1.26         1.14         1.20         1.20         1.20        1.24         1.25         1.28         1.24

1.26         1.20         1.30         1.23         1.26         1.16         1.34         1.10         1.22         1.27

1.21         1.09         1.23         1.03         1.32         1.21         1.23         1.34         1.19         1.18

1.20         1.20         1.13         1.43         1.19         1.05         1.16         1.19         1.07         1.21

1.36         1.21         1.00         1.23         1.22         1.13         1.24         1.10         1.18         1.26

1.12         1.10         1.19         1.10         1.24

(a) Calculate the five-number summary of each set of weights.

(b) On the same graph, construct box plots for each set of weights.

(c) If the carrots are the same price per package, which is the better buy? Which type of carrots would you select?