Maths | Exploring Statistics

This week, we did a statistical investigation to figure out the average score of each group in Athletics Day.

First, we added up the data sets using a google sheet. To add data sets, we can repeated addition or multiplication. We wanted to add the data sets up quickly, so we used multiplication. If a data set was 2+3+3+2+1+3+4+2, we could make it easier to solve this equation by doing (4x1) + (3x3) + (2x2) + (1x1) instead. 4x1=4, 3x3=9, 2x2=4, and 1x1=1. We add all of the totals up and it equals 18. This strategy is quicker than repeated addition because instead of adding up the numbers individually, you can add them up all at once.

Then, we needed to find the average group score. We added all of the groups points then divided the total by the amount of classes there are, which is 9. When we add all of the scores; 19 + 17 + 19 + 26 + 17 + 24 + 18 + 18 + 24 = 182. Then we dividied it by 9 to make 20.2. This makes 20.2 because we know that 18 divided by 2 is 9, so we should know 180 divided by 20. 2 divided by  9 equals to 0.222222222, but we simplify the answer by rounding. When rounding if the decimal is four or under four, we need to round down. If the decimal is five or higher, it rounds up. 

It is important to understand how to use statistical investigations because it can make adding, subtraction, multiplying or dividing numbers easier.

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