assignment 1 write-up

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School

Brock University *

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Course

3P15

Subject

Statistics

Date

Feb 20, 2024

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docx

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Uploaded by DeaconMongooseMaster326

CHYS 3P15 Assignment 1 Write-Up Question 1. a) Variable Name Variable Label Level of Measurement Coding Information ID Participant ID Nominal GPA Participant GPA Scale City Participant School Location Nominal .00 – Hamilton 1.0 – Toronto 2.0 St. Catherines 3.0 Burlington 4.0 Niagara Falls Season Participant Favourite Season Nominal .00 – Summer 1.0 – Fall 2.0 Winter 3.0 Spring Shyness Participant Self- Reported Scale of Shyness Scale b) There are 30 participants within the sample. Within the sample, for the GPA variable, there is an average of 73.00 for the GPA within students with the most frequent, mode, GPA being 74.00 as well as the median being 74.00. Out of the 30 participants, the most common, mode, the histogram goes to show the variable ‘participant city school location’ is Toronto. Out of the 30 participants, 6 students attend school in Hamilton (20), 10 students within Toronto (33%), 6 students (20%) in St. Catherines, 4 (13%) in Burlington, and lastly, the histogram shows two evenly distributed data, a tie with Burlington, 4 students (13%) in Niagara Falls. The participants also had 4 seasons to choose from as their favourtite season; Summer, Fall, Winter and Spring, out of these 4, the histogram represents Summer was chosen as the most liked season while Fall and Spring being the least liked season. Out of the 30 answers, 13 chose Summer as their favourtite season (43%), 5 chose Fall (17%), 7 chose Winter coming in 2 nd to Summer (23%), and lastly, Spring came in as a tie with Fall with 5 participants choosing it as their favourtite (17%). Within the 30 participants within the sample, the mean average of self-reported shyness is a 3, with a median being 3, as well as the mode being 3. c) Z-Scores ID Z-Score GPA City Favourite Season Shyness 9 2.52896 98.0 1.00 - Toronto 3.00 - Spring 2.00 8 2.22304 95.0 1.00 - Toronto 3.00 – Spring 4.00

2. a) Price of Textbooks – Descriptive statistics. The price of textbook would be appropriately described using descriptive statistics as numerical measures and values would be present compared to categorical. Mean, median, and mode can be also be calculated using this method as well as the use of standard deviation whereas this would be an issue if frequency tables would be used. b) Students Favourite Subject – Frequency tables. Students favourite subject would be the appropriate method to use as the data is much rather comparable rather than in numerical values. Frequency tables is the more appropriate method as it would allow us to organize data in the use of percentages and graphs to display data. Being able to visualize the data can allow for easier interpretation as well as finding patterns within the data. c) Grade 10 Literacy Test Results – Descriptive statistics. Although Grade 10 literacy test results can fall under both frequency tables and descriptive statistics, descriptive statistics is the more appropriate use as there are more relevant data that can be extracted from these results compared to frequency tables; mean, median, mode, z-scores, as well as standard deviation. Using descriptive statistics can identify grade 10 average test results, the most common scores, the range of scores as well as identifying the lowest scores to create a better curriculum or study guide for students that are not doing well. d) Budget of School Districts – Descriptive statistics. While both frequency tables and descriptive statistics can be used to explore the data, descriptive statistics can offer an insight on specific numerical values while is beneficial when understanding where the money is going and to what school districts in this case scenario. Descriptive statistics would be able to offer an insight on which schools are receiving how much money, how the money is being used, how the money to being divided, etc. e) Grade 2 Class Sizes Nationwide – Descriptive statistics. Again, while both frequency tables and descriptive statistics can be used to explore the data, it depends on what type of data you would like to explore. However, descriptive statistics, again, can be useful in understanding specific numerical statistics; understanding how big class sizes are, calculating mean, median, and mode, as well as class sizes and the use of standard deviation. f) Students’ preferences of morning recess verses afternoon recess – Frequency tables. I believe frequency tables may be the more appropriate option here as students have two options to pick from; whether they prefer morning or afternoon recess, it is not a question that is numerical although it can be calculated as so, however, the answers are easily comparable. A bar graph can easily be used with this question offering insights on whether the data is evenly distributed or is it more or less high than the other. g) Genre of most recent movie watched – Frequency tables. Frequency tables are the more appropriate option as there are specific genres to chose form representing categorical data rather than numerical values. The use of frequency tables can be utilized to summarize these genres and

display how many people enjoy watching specific genres and various movies in this case scenario. h) Number of pages a student read – Descriptive statistics. Both descriptive and frequency tables are a good option here however, numerical, descriptive statistical data would be better use in this scenario. For example, if a student wanted to count how many pages, they read within 3 days and written down how much they read per day, descriptive statistics is the ideal method. Mean, median, and mode would be used in this scenario.

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assignment 1 write-up

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