A busy grocery store in San Antonio captures the time per item it takes to check out customers during their peak time. (The total time for the customer was divided by the number of items for that customer. If a customer took 8 minutes, or 480 seconds, to check out and purchased 24 items, the time would be 20). A sample of times is calculated for each cashier. They want to compare 2 cashiers. The following are the average time per item scanned in seconds for each cashier: Cashier 1 Cashier 2 Time per Item Scanned Time per Item Scanned 20 24 10 16 52 19 60 55 65 45 58 36 40 5 38 29 40 52 25 45 35 15 40 19 35 28 27 28 15 30 16 28 18 19 Compare the following (a through k) for these two cashiers and then help the store determine which of the two cashiers has better metrics (explain why): Cashier 1 Cashier 2 a. Means b. Q1 (or 25thpercentile) c. Median d. Q3 (or 75thPercentile e. Standard Deviations f. Ranges g. Interquartile Ranges

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 26PPS

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Question

A busy grocery store in San Antonio captures the time per item it takes to check out customers during their peak time. (The total time for the customer was divided by the number of items for that customer. If a customer took 8 minutes, or 480 seconds, to check out and purchased 24 items, the time would be 20). A sample of times is calculated for each cashier. They want to compare 2 cashiers. The following are the average time per item scanned in seconds for each cashier:

Cashier 1	Cashier 2
Time per Item Scanned	Time per Item Scanned
20	24
10	16
52	19
60	55
65	45
58	36
40	5
38	29
40	52
25	45
35	15
40	19
35	28
27	28
15	30
16	28
	18
	19

Compare the following (a through k) for these two cashiers and then help the store determine which of the two cashiers has better metrics (explain why):