Assignment 1: Variables and Data Types

Identification of variables and data types

Assignment 1
1. Identify each variables using the appropriate terms from the following list: quantitative (continuous or discrete) or qualitative. a) Amount of time it takes to assemble a simple puzzle. b) Number of students in the STAT100 class. c) Rating of a newly elected politician (poor, fair, good and excellent) d) Weight of tomatoes at a grocery store e) Daily temperature (in degree Fahrenheit) for last August f) Letter grades (A, B, C, D or F) that an English 100 class received on their essays. g) Cell phone number of customers that ordered pizza in one day. h) Home address of citizens living in the North area of Regina.
2. Six vehicles are selected from the vehicles that are issued campus parking permits, and the following data are record: Vehicle Type Make Age of Vehicles (years) 1 Car Honda 6 2 Car Toyota 3 3 Truck Toyota 4 4 Van Dodge 2 5 Motor-cycle Harley 1 6 Car Chevrolet 9
a) What are experimental units? b) What are the variables being measured? What types of variables are they? c) Is this univariate , bivariate or multivariate data?
3. A manufacturer of jeans has plants in Quebec (QC), Ontario (ON), and Manitoba (MB). A group of 25 pairs of jeans is randomly selected from the computerized database, and the province in which each is produced is recorded: ON QC QC MB ON ON ON MB MB MB QC QC ON QC MB ON QC MB MB MB ON QC QC ON ON a) What is the experimental unit? b) What is the variable being measured? Is it qualitative or Quantitative? c) Construct a pie chart to describe the data d) Construct a bar chart to describe the data e) What proportion of the jeans is made in Quebec? f) What province produced the most jeans in the group? g) If you want to find out whether the three plants produced equal numbers of jeans, or whether one produced more jeans than the others, how can you use the charts from part c) and d) to help you? What conclusion can you draw from these data?
4. The ages of 25 Statistics students are listed below, in ascending order: 17,18, 18, 18,19 , 19 , 19 , 19 , 19 , 20 , 21 , 21, 22 , 23 , 24, 27 , 27, 28 , 29 , 30 , 30 , 32, 35 , 47 , 51 a) Use the raw data to produce a stem-and - leaf plot b) What shape is this distribution? c) Construct a grouped frequency distribution table using 6 classes with a width of 6 in one class, the lowest class starting from 16 years. List the frequency, relative frequency and cumulative frequency. Use the grouped data to produce a frequency histogram.
5. Consider the following incomplete frequency distribution for Statistics grades in a class with 40 students. Fill in the relevant missing information to complete the table (Note: No student scored below 40%)  Grade Frequency Relative Cumulative Class Frequency Frequency