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In the data set below, what is the variance?\newline8,8,7,5,78, 8, 7, 5, 7\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____

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Q. In the data set below, what is the variance?\newline8,8,7,5,78, 8, 7, 5, 7\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____
  1. Calculate squared differences: Now, calculate each (xi−mean)2(x_i - \text{mean})^2.\newline(8−7)2=1(8 - 7)^2 = 1\newline(8−7)2=1(8 - 7)^2 = 1\newline(7−7)2=0(7 - 7)^2 = 0\newline(5−7)2=4(5 - 7)^2 = 4\newline(7−7)2=0(7 - 7)^2 = 0
  2. Add up squared differences: Add up all the squared differences.\newlineSum = 1+1+0+4+01 + 1 + 0 + 4 + 0\newlineSum = 66
  3. Calculate variance: Divide the sum by the number of data points to get the variance.\newlineVariance = SumN\frac{\text{Sum}}{N}\newlineVariance = 65\frac{6}{5}\newlineVariance = 1.21.2

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