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McGivern Jewelers is located in the Levis Square Mall just south of Toledo, Ohio. Recently it ran an advertisement in the local newspaper reporting the shape, size, price, and cut grade for 33 of its diamonds currently in stock. The information is reported below.
Shape
Size (carats)
Price
Cut Grade
Princess
5.03
$44,312
Ideal cut
Round
0.77
$2,828
Ultra ideal cut
2.35
20,413
Premium cut
Oval
0.76
3,808
2.03
13,080
0.71
2,327
1.56
13,925
Marquise
2,732
Good cut
1.21
7,382
0.70
1,915
5,154
Average cut
0.66
1,885
1.19
5,339
0.62
1,397
Emerald
1.16
5,161
0.52
2,555
1.08
8,775
0.51
1,337
1.02
4,282
1,558
6,943
0.45
1,191
1.01
7,038
0.44
1,319
1.00
4,868
0.91
5,106
0.40
1,133
0.90
3,921
0.35
1,354
3,733
0.32
896
0.84
2,621
a. Develop a box plot of the variable price and comment on the result. Are there any out- liers? What is the median price? What is the value of the first and the third quartile?
b. Develop a box plot of the variable size and comment on the result. Are there any out- liers? What is the median price? What is the value of the first and the third quartile?
c. Develop a scatter diagram between the variables price and size. Be sure to put price on the vertical axis and size on the horizontal axis. Does there seem to be an asso- ciation between the two variables? Is the association direct or indirect? Does any point seem to be different from the others?
d. Develop a contingency table for the variables shape and cut grade. What is the most common cut grade? What is the most common shape? What is the most common combination of cut grade and shape?
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