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

Covers fundamental statistical concepts and data visualization.

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    Due by 11 .59 pm Ju ne 29 th 1 Introduction to Statistics: Data Types, Measurement Levels, Frequency Distributions, and Visual Data Representation Chapter 1 Overview of Statistics Chapter 2 Data Collection Chapter 3 Describing Data Visually Assignment Please provide detailed solutions to the following problems/exercises ( 4 problems/exercises x 8 points each) : 1) What type of data (categorical, discrete numerical, or continuous numerical) is each of the following variables? a) Length of a TV commercial. Continuous numerical b) Number of peanuts in a can of Planter’s Mixed Nuts. Discrete numerical c) Occupation of a mortgage applicant. Categorical d) Flight time from London Heathrow to Chicago O’Hare. Continuous numerical 2) 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 can be any integer value starting from 0; thus it i s a ratio scale. b) Number of merchandise returns on a randomly chosen Monday at a Walmart store. Here also the number can be any integer value 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 is available so the most appropriate scale is interval scale. d) Name of the cashier at register 3 in a Walmart store The name would be categorical and we can’t put 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 .59 pm Ju ne 29 th 2 The 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 be put 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 college students are given in the file “ College Credit Card .’ a) Using the 2 k > n rule, construct a frequency distribution for these data. Here n = 36 so we can see that, 2 6 > 36 and thus k = number of classes = 6. The minimum is 162 and the maximum is 5927 thus I am constructing 6 classes as, 1 st class: 0 – 999 2 nd class: 1000 – 1 999 3 rd class: 2000 – 2999 4 th class: 3000 – 3999 5 th class: 4000 – 4999 6 th class: 5000 – 5999 And the frequency distribution table is given below, Class Interval Frequency 0 - 999 12 1000 - 1999 8 2000 - 2999 3 3000 - 3999 2 4000 - 4999 6 5000 - 5999 5 Total 36 b) 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 frequency Thus the complete table is given below, Class Interval Frequency Relative Frequency 0 - 999 12 0.3333

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