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Assignment_2022.pdf - Problem set 1 Question 1: (a). For...

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Problem set 1Question 1:(a). For given sample data setx1,x2,x3,· · ·,xnshow that the sample standard deviation is givenbys=wwwwwwwvvvvvvvvvvvvvvvvvvvvvuuuuuuu1n1355nYYYYYYYi=1x2i1nnYYYYYYYi=1xi24466(b). The following are the numbers of passengers on the minibus tour of given certain city.Estimate the the sample median, sample mean, and sample variance for the given data.Question 2:(a). Establish the formulas of median for a grouped data-set.(b). The frequency table giving the ages in completed years of the population of a small countrytown is shown bellow. Estimate, the mean, and median age of the towns-people.Question 3:Students require different amounts of sleep.A sample of 59 students at a largemidwest university reported the following hours of sleep the previous night. And the data are sum-marized in the table below(a). Construct a frequency distribution of the sleep data using 5 classes and consider the first classinterval to be4.3-5.5.(b). Construct a frequency the histogram of the sleep data.

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