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Sea Caught and Farm Raised Oysters

GMAT-JNCAVL

A jewelry store manager has two major options for obtaining pearls for necklaces, bracelets and rings – from farm raised oysters, or from wild sea caught oysters.

The diameters of 45 pearls obtained from a random sample of farm raised oysters have been graphed in the dotplot below, with each diameter rounded to the nearest whole number of millimeters.

Pearl Diameter (in millimeters)

The diameters of 32 pearls obtained from a random sample of sea caught oysters have been graphed in the dotplot below, with each diameter rounded to the nearest whole number of millimeters.

Pearl Diameter (in millimeters)

Part 1:
What is the difference between the range of sea caught pearl diameters and the range of farm raised pearl diameters? Give a negative number for your answer if the range of sea caught pearls is less than the range of farm raised pearls.


Part 2:
What is the median diameter for farm raised pearls?


Part 3:
In order to have a consistent size of pearl to create a necklace, a jeweler would like to find a diameter D in which the largest possible proportion of pearls had diameters in the interval mm, inclusive. For sea caught pearls, identify the value of D.