Displaying Data - Part 2
Types of Data Categorical (Qualitative) - This is data which is usually recorded as a label, and not a number. Continuous (Quantitative) - This is numerical data where values can exist between recorded values (i.e. decimals are allowed). Discrete (Quantitative) - This is also numerical data, but decimals are not allowed. Discrete data is distinct and can be counted.
Examples Categorical Data – Checkbox for male/female, model of car, eye colour etc Continuous Data – Any measurement (cm, m, weight, time, temperature) where decimals are permitted. Discrete Data – Number of pizza toppings, money in cents, goals, number of students who passed the course
Example (try it yourself) Identify as Categorical (Cat), Continuous (Con) or Discrete (Dis): The number of cars in a parking lot The type of pet at home The number of pets at home The scores in bowling The dollar amount you owe in taxes The thickness of ice on a lake Colour of hair Amount of liquids consumed in a day in mL Identify as Categorical (Cat), Continuous (Con) or Discrete (Dis): The number of cars in a parking lot Dis The type of pet at home Cat The number of pets at home Dis The scores in bowling Dis The dollar amount you owe in taxes Con The thickness of ice on a lake Con Colour of hair Cat Amount of liquids consumed in a day in mL Con
Graphing Data Types of Graphs: Histogram (learned yesterday) – Bars used to represent continuous data. They touch since there’s no breaks in the data. Bar Graph – Bars used to represent discrete or categorical data. ** There are spaces between bars Circle Graph – Used for numerical data in proportion to a whole (i.e. budgets, mark breakdowns, etc.)
Example 1 (Try it yourself) Create a bar graph of the following hockey all-time regular season goal scorers Name# of Goals Scored Wayne Gretzky894 Gordie Howe801 Brett Hull741 Marcel Dionne731 Phil Esposito717 Mike Gartner708 Maximum value is 894, so the graph should go as high as 900 or Try to go vertically at an interval of 1000/10 = 100.
Example 1 Answer
Example 2 Given the following monthly budget, create a circle graph. ItemCost ($) DegreesCumulative Rent ⁰ Transportation ⁰ +69 ⁰ =223 ⁰ Food ⁰ +86 ⁰ =309 ⁰ Clothing ⁰ +17 ⁰ =326 ⁰ Entertainment ⁰ +34 ⁰ =360 ⁰ TOTAL ⁰
Creating the circle graph ItemCost ($) Cumulative Rent ⁰ Transportation ⁰ Food ⁰ Clothing ⁰ Entertainment ⁰ TOTAL2100 Rent Transportation Food Clothing Entertainment
Alternative method for circle graphs: Sometimes the sections of the circle are very small and quite hard to write the items, so the circle is colour-coded with a legend to identify the items.