1. The problem is to square each given value and then add all the squared values together. 2. The formula used is the sum of squares: $$\sum_{i=1}^n x_i^2$$ where $x_i$ are the given values. 3. We square each value: $$22.2^2=492.84,\ 19.5^2=380.25,\ 23.6^2=556.96,\ 23.9^2=571.21,\ 24.5^2=600.25,\ 26.2^2=686.44,\ 22.3^2=497.29,\ 26.1^2=681.21,\ 20.9^2=436.81,\ 21.2^2=449.44,\ 18.2^2=331.24,\ 23.5^2=552.25,\ 23.6^2=556.96,\ 22.9^2=524.41,\ 25.4^2=645.16,\ 22.6^2=510.76,\ 28.5^2=812.25,\ 23.1^2=533.61,\ 19.5^2=380.25,\ 26.5^2=702.25,\ 20.7^2=428.49,\ 24.6^2=605.16,\ 23.3^2=542.89,\ 25.4^2=645.16,\ 35.9^2=1288.81,\ 24.5^2=600.25,\ 25.8^2=665.64,\ 23.2^2=538.24,\ 26.1^2=681.21,\ 22.4^2=501.76,\ 24.9^2=620.01,\ 30.2^2=912.04,\ 21.6^2=466.56,\ 26.4^2=696.96,\ 25.2^2=635.04,\ 21.2^2=449.44,\ 22.5^2=506.25,\ 23.2^2=538.24,\ 25^2=625,\ 22.4^2=501.76$$ 4. Adding all these squared values: $$492.84+380.25+556.96+571.21+600.25+686.44+497.29+681.21+436.81+449.44+331.24+552.25+556.96+524.41+645.16+510.76+812.25+533.61+380.25+702.25+428.49+605.16+542.89+645.16+1288.81+600.25+665.64+538.24+681.21+501.76+620.01+912.04+466.56+696.96+635.04+449.44+506.25+538.24+625+501.76=21788.91$$ 5. Therefore, the sum of the squares of all the given values is **21788.91**. This method is useful in statistics and data analysis for calculating variance and standard deviation.