Question

In: Statistics and Probability

1. The manager of a local fast-food chain wants to improve the service provided to customers...


1. The manager of a local fast-food chain wants to improve the service provided to customers who use the drive-up window. As a first step in this process, the manager records how long it takes from the time the customer first enters the drive-in window until they are served their food at the final window. Below are the times (in minutes) for the 30 customers (in order):
3 4 5 6 6 7 9 10 11 11 12 12 12 12 13 15 16 16 17 17 18 18 18 20 21 22 24 25 33 40
(a) Calculate the median. [2 marks]
(b) Calculate the first and third quartile. [2 marks]
ANSWER:
Q1 Q3 (c) Calculate the interquartile range. [1 mark]
IQR:
(d) Calculate the lower and upper limits [2 marks]
Lower Upper
(e) List all outliers. Explain why they would be considered outliers. [3 marks]
ANSWER:
(f) Where would the whiskers on a boxplot of the times extend to on each side? [2 marks]
Low Side: High Side:

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