Introduction to Statistics: Data Types, Measurement Levels, Frequency Distributions, and Visual Data Representation

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Due by 11.59pmJune29th1Introduction to Statistics: Data Types, Measurement Levels, FrequencyDistributions, and Visual Data RepresentationChapter 1Overview of StatisticsChapter 2Data CollectionChapter 3Describing DataVisuallyAssignmentPlease providedetailed solutions to the following problems/exercises (4problems/exercises x8pointseach):1) What type of data (categorical, discrete numerical, or continuous numerical) is each of the followingvariables?a)Length of a TV commercial.Continuous numericalb)Number of peanuts in a can of Planter’s Mixed Nuts.Discrete numericalc)Occupation of a mortgage applicant.Categoricald)Flight time from London Heathrow to Chicago O’Hare.Continuous numerical2) Which measurement level (nominal, ordinal, interval, ratio) is each of the following variables? Explain.a)Number of employees in the Walmart store in Hutchinson, Kansas.As the number of employees in the Walmart store in Hutchinson, Kansas canbe any integer valuestarting from 0; thus itis aratioscale.b)Number of merchandise returns on a randomly chosen Monday at a Walmart store.Here also the number can be anyintegervalue starting from 0 thus a ratio scale.c)Temperature (in Fahrenheit) in the ice-cream freezer at a Walmart store.The temperature of ice-cream can be anything but as its in Fahrenheit so no definition of 0 isavailable so the most appropriate scale is interval scale.d)Name of the cashier at register 3 in a Walmart storeThe name would be categorical and we can’tput them in order thus it would be Nominal scale.e)Manager’s rating of the cashier at register 3 in a Walmart store.

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Due by 11.59pmJune29th2The rating would be in categorical and we can order them thus it would be ordinal scale.f)Social security number of the cashier at register 3 in a Walmart store.The social security number is used as categorical (just like license plate number) and as it can’t beput in order thus it’s an example of nominal scale.3) The results of a survey that collected the current credit card balances for 36 undergraduate collegestudents are given in the file “College Credit Card.’a)Using the 2k> n rule, construct a frequency distribution for these data.Here n = 36 so we can see that,26> 36 and thus k = number of classes = 6.The minimum is 162 and the maximum is 5927 thus I am constructing 6 classes as,1stclass:0–9992ndclass: 1000–19993rdclass: 2000–29994thclass: 3000–39995thclass: 4000–49996thclass: 5000–5999And the frequency distribution table is given below,Class IntervalFrequency0-999121000-199982000-299933000-399924000-499965000-59995Total36b)Using the results from a), calculate the relative frequencies for each class.The frequency of each class is calculated from the data. We know,Relative frequency = Frequency of that class/ Total frequencyThus the complete table is given below,ClassIntervalFrequencyRelativeFrequency0-999120.3333

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