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Mathematics, 27.04.2021 22:00 Damagingawsomeness2

Comparing Samples Two optometrists (eye doctors) each compiled data from 10 different random samples. The table contains their respective data sets.

Doctor A Doctor B
Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts
745 643 102 763 651 112
726 634 92 736 625 111
769 670 99 735 622 113
765 658 107 759 624 135
756 636 120 748 631 117
742 624 118 756 621 135
757 641 116 765 653 112
748 655 93 761 647 114
770 649 121 768 646 122
738 629 109 761 646 115
Part A
Are there any noticeable outliers in either of the data sets? What does this mean about the best measures to use for center and variability?

Part B
What is the mean for Doctor A’s data set on corrective lenses? What is the mean for Doctor B’s data set on corrective lenses? Write a sentence comparing the number of people who wear corrective lenses in the two data sets.

Part C
What is the mean for Doctor A’s data set on glasses? What is the mean for Doctor B’s data set on glasses? Write a sentence comparing the number of people who wear glasses in the two data sets.

Part D
What is the mean for Doctor A’s data set on contacts? What is the mean for Doctor B’s data set on contacts? Write a sentence comparing the number of people who wear contacts in the two data sets.

Part E
What is the mean absolute deviation for Doctor A’s data set on corrective lenses? What is the mean absolute deviation for Doctor B’s data set on corrective lenses? Write a sentence comparing the variation of the two data sets using their mean absolute deviations.

Part F
What is the mean absolute deviation for Doctor A’s data set on glasses? What is the mean absolute deviation for Doctor B’s data set on glasses? Write a sentence comparing the variation of the two data sets using their mean absolute deviations.

Part G
What is the mean absolute deviation for Doctor A’s data set on contacts? What is the mean absolute deviation for Doctor B’s data set on contacts? Write a sentence comparing these two data sets using their mean absolute deviations.

Part H
In parts E, F, and G, which data sets (corrective lenses, glasses, or contacts) show the most similar variation between Doctors?

Part I
Compare the difference of the means of the two data sets found in part H as a multiple m of their variability.

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