Please also include a brief explanation. Thank you and thumps up. Please definit

Question

Please also include a brief explanation. Thank you and thumps up. Please definitely do both parts.

14. The accompanying data set consists of observations on shower-flow rate (L/min) for a sample of n-129 houses in Perth, Australia (“An Application of Bayes Methodology to the Analysis of Diary Records in a Water Use Study," J. Amer. Stat. Assoc., 1987: 705-711): 4.6 12.3 7.1 7.0 4.0 9.2 6.7 6.9 .5 5.1 11.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.5 7.5 6.2 5.8 2.3 3.4 10.4 9.8 6.6 3.7 6.4 8.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.8 6.2 5.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.3 7.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.9 7.2 5.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.2 8.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.7 5.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.6 10.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.6 7.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.3 9.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.2 8.3 3.2 4.9 5.0 6.0 8.2 6.3 3.8 6.0 a. Construct an equal class-width histogram. b. What is a typical, or representative, flow rate?

Explanation / Answer

a) The frequency distribution of the data is

since minimum value = 2.2, maximum value= 18.9

So width of class inteterval consider as 1.70 and number of classes are 10

Class Interval LL UL f 2 3.69 8 3.7 5.39 19 5.4 7.09 38 7.1 8.79 21 8.8 10.49 21 10.5 12.19 12 12.2 13.89 3 13.9 15.59 6 15.6 17.29 0 17.3 18.99 1 Total = 129

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