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In the data set below, what is the variance?\newline4,4,6,1,3,64, 4, 6, 1, 3, 6\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?\newline4,4,6,1,3,64, 4, 6, 1, 3, 6\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____
  1. Calculate Squared Differences: Now, let's calculate the squared differences from the mean.\newline(4−4)2+(4−4)2+(6−4)2+(1−4)2+(3−4)2+(6−4)2(4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (1 - 4)^2 + (3 - 4)^2 + (6 - 4)^2\newline= 0+0+4+9+1+40 + 0 + 4 + 9 + 1 + 4\newline= 1818
  2. Divide by Number of Values: Finally, we divide the sum of squared differences by the number of values to get the variance.\newlineVariance=186\text{Variance} = \frac{18}{6}\newlineVariance=3\text{Variance} = 3

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