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In the data set below, what is the variance?\newline7,6,6,2,47, 6, 6, 2, 4\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?\newline7,6,6,2,47, 6, 6, 2, 4\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.\newline(7−5)2+(6−5)2+(6−5)2+(2−5)2+(4−5)2(7 - 5)^2 + (6 - 5)^2 + (6 - 5)^2 + (2 - 5)^2 + (4 - 5)^2\newline= (2)2+(1)2+(1)2+(−3)2+(−1)2(2)^2 + (1)^2 + (1)^2 + (-3)^2 + (-1)^2\newline= 4+1+1+9+14 + 1 + 1 + 9 + 1\newline= 1616
  2. Divide by Number of Data Points: Finally, we divide the sum of squared differences by the number of data points to get the variance.\newlineVariance σ2\sigma^2 = 165\frac{16}{5}\newlineVariance σ2\sigma^2 = 3.23.2

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