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MATH110 – Introduction to Statistics – University of British Columbia – Chapter 1.1 Lecture Summary

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This document is a detailed summary of Chapter 1.1 from MATH110 at the University of British Columbia. It introduces key statistical concepts such as descriptive and inferential statistics, populations vs. samples, and different types of data. The content is structured clearly, with definitions, examples, and explanations, making it ideal for early-semester review or exam preparation.

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MATH110 CH.1.1


1. Define Data Pg 1: The term data is the plural form of datum and refers to
measurements or observations gathered by the researcher.
2. Define numerical summary value. Pg.2: A parameter is a numerical
summary value computed using data from an entire population.
3. What is the difference between Population vs Sample? Pg 2: -
Population is the entire population.
- A sample is a subset of the population.
- use measurements from samples to estimate population parameters
4. What is the difference between a parameter and a statistic? Pg 2: - a
parameter is a numerical summary value, computed using data from an entire
population.
- a statistic is a numerical summary value computed using data from a sample.
5. What are the two types of quantative data? Pg 6: - discrete -
continuous
6. Define continuous quantitative data. Pg. 6: Continuous
quantitative data are quantitative numerical values where within a certain
range, any value is possible.
- data type that is measured
7. What are examples of continuous quantitative data?: Height (e.g., 165.3
cm, 172.8 cm)
Weight (e.g., 68.5 kg, 75.2 kg)
Temperature (e.g., 22.5°C, 37.1°C)
Time (e.g., 2.75 hours, 10.5 minutes)
Speed (e.g., 60.7 mph, 25.3 km/h)
Age (e.g., 25.4 years, 30.75 years)




,Length (e.g., 5.62 meters, 10.35 inches)
Distance (e.g., 2.3 miles, 4.87 km)
Volume (e.g., 1.5 liters, 3.8 gallons)
Blood Pressure (e.g., 120.6 mmHg, 135.2 mmHg)
8. Define the term discrete quantitative data. Pg. 6: - discrete quantitative
data are quantitative numerical values where possible measurements may be
ordered consecutively
- gaps exist between consecutive possible measurements where no
measurements are possible.
-data that can be counted
9. What are examples of discrete quantitative data? Pg 6: Since discrete data
represents countable quantities, it often arises in situations where values can
only be whole numbers.
Number of students in a class (e.g., 20, 25, 30)
Number of cars in a parking lot (e.g., 50, 75, 100)
Number of siblings a person has (e.g., 0, 1, 2, 3)
Number of books on a shelf (e.g., 10, 15, 20)
Number of goals scored in a soccer match (e.g., 1, 2, 5)
Number of pets in a household (e.g., 1, 2, 3, 4)
Number of employees in a company (e.g., 100, 250, 500)
Number of eggs in a carton (e.g., 6, 12, 18)
Number of phone calls received in a day (e.g., 5, 10, 15)
Number of defective items in a batch (e.g., 0, 2, 4, 6)




, .

10. What are the two types of data? Pg 6: - categorical/ qualitative data -
quantitative data
11. Define categorical data. Pg 6: Another term for qualitative data.
- any data that is not numerical
12. Define qualitative data.: Another term for categorical data.
- any data that is not numerical
13. Give examples of qualitative data.: 1. Nominal Qualitative Data (No Natural
Order)

Gender (e.g., Male, Female, Non-binary)
Marital Status (e.g., Single, Married, Divorced, Widowed)
Eye Color (e.g., Brown, Blue, Green, Hazel)
Blood Type (e.g., A, B, AB, O)
Nationality (e.g., American, Canadian, Indian, Chinese)
Brand of Smartphone (e.g., Apple, Samsung, Google, OnePlus)
Type of Pet (e.g., Dog, Cat, Bird, Fish)
Favorite Cuisine (e.g., Italian, Mexican, Japanese, Indian)

2. Ordinal Qualitative Data (Has a Meaningful Order)

Education Level (e.g., High School, Bachelor's, Master's, PhD)
Customer Satisfaction Rating (e.g., Poor, Fair, Good, Excellent)
Job Position (e.g., Intern, Junior, Senior, Manager, Director)
Letter Grades in School (e.g., A, B, C, D, F)
Movie Ratings (e.g., 1 star, 2 stars, 3 stars, 4 stars, 5 stars)

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