please use software code R. Problem 4: (a) The following histogram shows the dis

Question

please use software code R.

Problem 4: (a) The following histogram shows the distribution of shower-flow rates (L/min) for a sample of houses. Histogram of Shower-Flow Rate 30 20 10 10 15 20 Shower-Flow Rate (L/min) Based on the above histogram, answer the following questions: (i) What is the shape of the distribution of shower-flow rates for these houses? (ii) What is the approximate value to represent these shower-flow rates (b) The following boxplot shows the distribution of shower-flow rates (L/min) for a sample of houses. Based on this plot, provide approximate values for the numerical summary of this data in the following table 10 15 25th 50h 75th Minimum Q1 Q3 Maximum percentil percentile percentile Q2 e (Median)

Explanation / Answer

(a)

(i)it is right skewed distribution

(ii) maximum frequency is 30 between 6-8 (L/min) so approximate value to represent is 7 (L/min)

(b)

first vertical bar is minimum value

first boundry of of the box is first quartile Q1 or 25th percentile

bold line in the box is median Q2 or 50th percentile

last boundry of the box is third quartile Q3 or 75th percentile

last vertical bar is maximum value

25th 50th 75th Minimunm Q1 Q2 Q3 Maximum percentile percentile percentile 1 6 8 10 16 6 8 10

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