Bakers Ltd run a chain of bakery shops and is famous for the quality of its pies. The management of the company is concerned at the number of complaints from customers who say it takes too long to serve customers at a particular branch. The motto of the company is ‘Have your pie in two minutes’. The manager of the branch concerned has been told to provide data on the time it takes for customers to enter the shop and be served by the shop staff , and has presented the data in Table 2.24.

(a) From the data set calculate the mean and median.

(b) Repeat the analysis to calculate the standard deviation, quartiles (Q₁, Q₂, and Q₃), quartile range, and SIQR.

(c) Describe the shape of the distribution. Do the results suggest that there is a great deal of variation in the time taken to serve customers?

(d) Which measures would you recommend the shop manager uses to describe the variation in the time taken to serve customers?

(e) What conclusions can you draw from these results?

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0.70 0.70 0.99 0.99 0.12 0.12 0.70 0.70 1.88 1.88 0.55 0.55 1.38 1.38 0.80 0.80 1.25 1.25 1.48 1.48 Table 2.24 0.70 0.70 0.70 0.70 0.70 0.99 0.99 0.99 0.99 0.99 0.12 0.12 0.12 0.12 0.12 0.70 0.70 0.70 0.70 0.70 1.88 1.88 1.88 1.88 1.88 0.55 0.55 0.55 0.55 0.55 1.38 1.38 1.38 1.38 1.38 0.80 0.80 0.80 0.80 0.80 1.25 1.25 1.25 1.25 1.25 1.48 1.48 1.48 1.48 1.48 0.70 0.99 0.12 0.70 1.88 0.55 1.38 0.80 1.25 1.48 0.70 0.99 0.12 0.70 1.88 0.55 1.38 0.80 1.25 1.48 0.70 0.99 0.12 0.70 1.88 0.55 1.38 0.80 1.25 1.48