STATISTICAL REASONING AND ITS APPLICATION IN REAL LIFE
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Subject: Mathematics
Class: SHS 1
Term: 2nd Term
Week: 15
Grade code: 1.4.3.LI.2
Strand code: 4
Sub-strand code: 1
Content standard code: 1.4.1.CS.2
Indicator code: 1.4.3.LI.2
Theme: MAKING SENSE OF AND USING DATA
Subtheme: STATISTICAL REASONING AND ITS APPLICATION IN REAL LIFE
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In our daily lives in Ghana, we are constantly surrounded by data: the prices of goods at Makola market, the scores of the Black Stars in a tournament, or the rainfall patterns in our farming communities. Statistics helps us make sense of this information. This lesson focuses on "measures of central tendency" – the mean, median, and mode. These are special numbers that give us a "typical" value for a set of data. We will move beyond the basic calculations you learned in JHS and learn how to handle large, grouped datasets and, most importantly, how to critically decide which "average" tells the most truthful story about the data.
A. Recap from JHS: Measures of Central Tendency for Ungrouped Data Mean: The "regular" average. You find it by adding all the values and dividing by the number of values. *Example:* The scores of a student in 5 tests are 15, 17, 12, 18, 18. Mean = (15 + 17 + 12 + 18 + 18) / 5 = 80 / 5 = 16. Median: The middle value when the data is arranged in order (ascending or descending). *Example:* Arrange the scores: 12, 15, 17, 18, 18. The median is 17. Mode: The value that appears most frequently. *Example:* In the scores 12, 15, 17, 18, 18, the mode is 18. B. Measures of Central Tendency for Grouped Data
When we have a large amount of data, like the heights of all 500 students in SHS1, it is impractical to list every single value. We group the data into class intervals.