Lesson Notes By Weeks and Term v4 - SHS 3
ORGANISING AND REPRESENTING AND INTERPRETING DATA
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ORGANISING AND REPRESENTING AND INTERPRETING DATA
Download the Lessonotes Mobile Ghana app for faster lesson access on Android and iPhone.
Subject: Additional Mathematics
Class: SHS 3
Term: 2nd Term
Week: 4
Grade code: 3.4.1.LI.3
Strand code: 4
Sub-strand code: 1
Content standard code: 3.4.1.CS.1
Indicator code: 3.4.1.LI.3
Theme: HANDLING DATA
Subtheme: ORGANISING AND REPRESENTING AND INTERPRETING DATA
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In our daily lives, we often notice that two things seem to be connected. For example, when the rains are heavy, the price of maize in the market might go down. Or, the more time you spend studying for a test, the better your score tends to be. This lesson moves beyond looking at single pieces of data (like just the test scores of a class) to exploring the relationship between *two* different sets of data. We will learn how to visually represent these relationships using a powerful tool called a scatter plot and how to interpret what this visual representation tells us about the world around us.
A. What is Bivariate Data?
So far, you have mostly worked with univariate data—data that involves only one variable. For example, the heights of all students in SHS3 is a univariate dataset.
Bivariate data involves two different variables, and we are interested in exploring the relationship between them. Each data point consists of a pair of values. Definition: Bivariate data is data where two measurements are made for each observation. It is often represented as ordered pairs (x, y). Example: The number of hours a student studies (Variable 1) and their test score (Variable 2). A single data point could be (5 hours, 85%). The daily temperature in Accra (Variable 1) and the number of FanYogo units sold (Variable 2). A data point could be (32°C, 500 units).
In bivariate data, we often distinguish between two types of variables: Independent Variable (or Explanatory Variable): This is the variable that we think might cause a change in the other. It is plotted on the horizontal axis (x-axis). Dependent Variable (or Response Variable): This is the variable that we think is affected by the independent variable. It is plotted on the vertical axis (y-axis). B. What is a Scatter Plot?