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In the data set below, what is the variance?\newline3,3,7,7,3,73, 3, 7, 7, 3, 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?\newline3,3,7,7,3,73, 3, 7, 7, 3, 7\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____
  1. Calculate Sum Squared Differences: Now, let's calculate the sum of the squared differences from the mean.\newlineΣ(xi−mean)2=(3−5)2+(3−5)2+(7−5)2+(7−5)2+(3−5)2+(7−5)2\Sigma(x_i - \text{mean})^2 = (3 - 5)^2 + (3 - 5)^2 + (7 - 5)^2 + (7 - 5)^2 + (3 - 5)^2 + (7 - 5)^2\newlineΣ(xi−mean)2=(−2)2+(−2)2+(2)2+(2)2+(−2)2+(2)2\Sigma(x_i - \text{mean})^2 = (-2)^2 + (-2)^2 + (2)^2 + (2)^2 + (-2)^2 + (2)^2\newlineΣ(xi−mean)2=4+4+4+4+4+4\Sigma(x_i - \text{mean})^2 = 4 + 4 + 4 + 4 + 4 + 4\newlineΣ(xi−mean)2=24\Sigma(x_i - \text{mean})^2 = 24
  2. Calculate Variance: Finally, we calculate the variance by dividing the sum of squared differences by the number of data points. \newlineVariance σ2\sigma^2 = Σ(xi−mean)2N\frac{\Sigma(x_i - \text{mean})^2}{N}\newlineVariance σ2\sigma^2 = 246\frac{24}{6}\newlineVariance σ2\sigma^2 = 44

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