ORGANISING AND REPRESENTING AND INTERPRETING DATA
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Subject: Additional Mathematics
Class: SHS 3
Term: 2nd Term
Week: 3
Grade code: 3.4.1.LI.2
Strand code: 4
Sub-strand code: 1
Content standard code: 3.4.1.CS.1
Indicator code: 3.4.1.LI.2
Theme: HANDLING DATA
Subtheme: ORGANISING AND REPRESENTING AND INTERPRETING DATA
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In our daily lives in Ghana, we often notice connections between two different things. For example, does the amount of rainfall affect the price of plantain in the market? Does the number of hours a student spends studying for WASSCE affect their final grade? This lesson introduces a powerful visual tool called a scatter plot, which helps us see and understand the relationship between two sets of data (bivariate data). By plotting these relationships, we can make smarter observations and even predictions about the world around us, from farming to business to personal success.
(Teacher Note: *Begin with a "Talk for Learning" activity. Ask students: "Think about the relationship between the price of a trotro ride and the distance travelled. What do you expect to happen to the price as the distance gets longer?" This primes them for the concept of correlation.*) A. What is Bivariate Data?
Most of the data we've handled so far might have been *univariate* (one variable), like the heights of all students in this class.
Bivariate data involves two different variables that are measured for the same individual or item. We are interested in seeing if there's a connection between these two variables. Example 1: For each student, we record their (Hours Studied) and their (Test Score). Example 2: For different cities in Ghana, we record the (Average Daily Temperature) and the (Number of 'pure water' sachets sold). Example 3: For a set of used cars, we record their (Age in years) and their (Selling Price in GHS).
In each case, we have a pair of data points for each item being studied. B. What is a Scatter Plot?